id	sid	tid	token	lemma	pos
ejpam-48	1	1	the	the	DET
ejpam-48	1	2	analytic	analytic	ADJ
ejpam-48	1	3	network	network	NOUN
ejpam-48	1	4	process	process	NOUN
ejpam-48	1	5	*	*	PUNCT
ejpam-48	1	6	corresponding	correspond	VERB
ejpam-48	1	7	author	author	NOUN
ejpam-48	1	8	.	.	PUNCT
ejpam-48	2	1	email	email	NOUN
ejpam-48	2	2	addresses	address	NOUN
ejpam-48	2	3	:	:	PUNCT
ejpam-48	2	4	edd@math.kent.edu	edd@math.kent.edu	PROPN
ejpam-48	3	1	eddub@mindspring.com	eddub@mindspring.com	X
ejpam-48	3	2	(	(	PUNCT
ejpam-48	3	3	e.	e.	PROPN
ejpam-48	3	4	dubinsky	dubinsky	PROPN
ejpam-48	3	5	)	)	PUNCT
ejpam-48	3	6	,	,	PUNCT
ejpam-48	3	7	wellerk@umflint.edu	wellerk@umflint.edu	PROPN
ejpam-48	3	8	(	(	PUNCT
ejpam-48	3	9	k.	k.	PROPN
ejpam-48	3	10	weller	weller	PROPN
ejpam-48	3	11	)	)	PUNCT
ejpam-48	3	12	,	,	PUNCT
ejpam-48	3	13	clstenger@una.edu	clstenger@una.edu	PROPN
ejpam-48	3	14	(	(	PUNCT
ejpam-48	3	15	c.	c.	PROPN
ejpam-48	3	16	stenger	stenger	PROPN
ejpam-48	3	17	)	)	PUNCT
ejpam-48	3	18	,	,	PUNCT
ejpam-48	3	19	dvidakovic@gsu.edu	dvidakovic@gsu.edu	PROPN
ejpam-48	3	20	(	(	PUNCT
ejpam-48	3	21	d.	d.	PROPN
ejpam-48	3	22	vidakovic	vidakovic	PROPN
ejpam-48	3	23	)	)	PUNCT
ejpam-48	3	24	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-48	4	1	©	©	PROPN
ejpam-48	4	2	2007	2007	NUM
ejpam-48	4	3	.	.	PUNCT
ejpam-48	5	1	ejpam	ejpam	VERB
ejpam-48	5	2	all	all	DET
ejpam-48	5	3	rights	right	NOUN
ejpam-48	5	4	reserved	reserve	VERB
ejpam-48	5	5	.	.	PUNCT
ejpam-48	6	1	european	european	ADJ
ejpam-48	6	2	journal	journal	PROPN
ejpam-48	6	3	of	of	ADP
ejpam-48	6	4	pure	pure	ADJ
ejpam-48	6	5	and	and	CCONJ
ejpam-48	6	6	applied	apply	VERB
ejpam-48	6	7	mathematics	mathematic	NOUN
ejpam-48	6	8	vol.1	vol.1	PROPN
ejpam-48	6	9	,	,	PUNCT
ejpam-48	6	10	no	no	INTJ
ejpam-48	6	11	.	.	NOUN
ejpam-48	6	12	1	1	NUM
ejpam-48	6	13	,	,	PUNCT
ejpam-48	6	14	2008	2008	NUM
ejpam-48	6	15	,	,	PUNCT
ejpam-48	6	16	(	(	PUNCT
ejpam-48	6	17	99	99	NUM
ejpam-48	6	18	-	-	SYM
ejpam-48	6	19	121	121	NUM
ejpam-48	6	20	)	)	PUNCT
ejpam-48	6	21	issn	issn	PROPN
ejpam-48	6	22	1307	1307	NUM
ejpam-48	6	23	-	-	SYM
ejpam-48	6	24	5543	5543	NUM
ejpam-48	6	25	–	–	PUNCT
ejpam-48	6	26	www.ejpam.com	www.ejpam.com	X
ejpam-48	6	27	99	99	NUM
ejpam-48	6	28	honorary	honorary	PROPN
ejpam-48	6	29	invited	invite	VERB
ejpam-48	6	30	paper	paper	NOUN
ejpam-48	6	31	infinite	infinite	ADJ
ejpam-48	6	32	iterative	iterative	NOUN
ejpam-48	6	33	processes	process	NOUN
ejpam-48	6	34	:	:	PUNCT
ejpam-48	6	35	the	the	DET
ejpam-48	6	36	tennis	tennis	NOUN
ejpam-48	6	37	ball	ball	NOUN
ejpam-48	6	38	problem	problem	NOUN
ejpam-48	6	39	ed	ed	PROPN
ejpam-48	6	40	dubinsky¹	dubinsky¹	PROPN
ejpam-48	6	41	*	*	PROPN
ejpam-48	6	42	,	,	PUNCT
ejpam-48	6	43	kirk	kirk	PROPN
ejpam-48	6	44	weller²	weller²	PROPN
ejpam-48	6	45	,	,	PUNCT
ejpam-48	6	46	cindy	cindy	PROPN
ejpam-48	6	47	stinger³	stinger³	PROPN
ejpam-48	6	48	,	,	PUNCT
ejpam-48	6	49	draga	draga	PROPN
ejpam-48	6	50	vidakovic4	vidakovic4	PROPN
ejpam-48	6	51	¹	¹	PROPN
ejpam-48	6	52	265	265	NUM
ejpam-48	6	53	north	north	NOUN
ejpam-48	6	54	woods	woods	PROPN
ejpam-48	6	55	rd	rd	PROPN
ejpam-48	6	56	.	.	PROPN
ejpam-48	6	57	,	,	PUNCT
ejpam-48	6	58	hermon	hermon	PROPN
ejpam-48	6	59	,	,	PUNCT
ejpam-48	6	60	ny	ny	PROPN
ejpam-48	7	1	13652	13652	NUM
ejpam-48	7	2	u.s.a	u.s.a	NOUN
ejpam-48	7	3	.	.	PROPN
ejpam-48	7	4	²	²	PROPN
ejpam-48	7	5	university	university	PROPN
ejpam-48	7	6	of	of	ADP
ejpam-48	7	7	michigan	michigan	PROPN
ejpam-48	7	8	–	–	PUNCT
ejpam-48	7	9	flint	flint	NOUN
ejpam-48	7	10	,	,	PUNCT
ejpam-48	7	11	³	³	PROPN
ejpam-48	7	12	university	university	PROPN
ejpam-48	7	13	of	of	ADP
ejpam-48	7	14	north	north	PROPN
ejpam-48	7	15	alabama	alabama	PROPN
ejpam-48	7	16	,	,	PUNCT
ejpam-48	7	17	4	4	NUM
ejpam-48	7	18	georgia	georgia	PROPN
ejpam-48	7	19	state	state	PROPN
ejpam-48	7	20	university	university	PROPN
ejpam-48	7	21	abstract	abstract	NOUN
ejpam-48	7	22	.	.	PUNCT
ejpam-48	8	1	iterative	iterative	NOUN
ejpam-48	8	2	processes	process	NOUN
ejpam-48	8	3	are	be	AUX
ejpam-48	8	4	central	central	ADJ
ejpam-48	8	5	to	to	ADP
ejpam-48	8	6	the	the	DET
ejpam-48	8	7	undergraduate	undergraduate	ADJ
ejpam-48	8	8	mathematics	mathematic	NOUN
ejpam-48	8	9	curriculum	curriculum	NOUN
ejpam-48	8	10	.	.	PUNCT
ejpam-48	9	1	in	in	ADP
ejpam-48	9	2	[	[	X
ejpam-48	9	3	4	4	NUM
ejpam-48	9	4	]	]	PUNCT
ejpam-48	9	5	,	,	PUNCT
ejpam-48	9	6	brown	brown	PROPN
ejpam-48	9	7	et	et	PROPN
ejpam-48	9	8	al	al	PROPN
ejpam-48	9	9	.	.	PROPN
ejpam-48	9	10	used	use	VERB
ejpam-48	9	11	a	a	DET
ejpam-48	9	12	problem	problem	NOUN
ejpam-48	9	13	situation	situation	NOUN
ejpam-48	9	14	calling	call	VERB
ejpam-48	9	15	for	for	ADP
ejpam-48	9	16	the	the	DET
ejpam-48	9	17	coordination	coordination	NOUN
ejpam-48	9	18	of	of	ADP
ejpam-48	9	19	two	two	NUM
ejpam-48	9	20	infinite	infinite	ADJ
ejpam-48	9	21	processes	process	NOUN
ejpam-48	9	22	to	to	PART
ejpam-48	9	23	analyze	analyze	VERB
ejpam-48	9	24	student	student	NOUN
ejpam-48	9	25	difficulties	difficulty	NOUN
ejpam-48	9	26	in	in	ADP
ejpam-48	9	27	understanding	understand	VERB
ejpam-48	9	28	the	the	DET
ejpam-48	9	29	difference	difference	NOUN
ejpam-48	9	30	between	between	ADP
ejpam-48	9	31	the	the	DET
ejpam-48	9	32	union	union	NOUN
ejpam-48	9	33	over	over	ADP
ejpam-48	9	34	k	k	PROPN
ejpam-48	9	35	of	of	ADP
ejpam-48	9	36	sets	set	NOUN
ejpam-48	9	37	p({1,2,	p({1,2,	PROPN
ejpam-48	9	38	…	…	SYM
ejpam-48	9	39	,k	,k	PUNCT
ejpam-48	9	40	}	}	PUNCT
ejpam-48	9	41	)	)	PUNCT
ejpam-48	10	1	(	(	PUNCT
ejpam-48	10	2	p	p	NOUN
ejpam-48	10	3	is	be	AUX
ejpam-48	10	4	the	the	DET
ejpam-48	10	5	power	power	NOUN
ejpam-48	10	6	set	set	NOUN
ejpam-48	10	7	operator	operator	NOUN
ejpam-48	10	8	)	)	PUNCT
ejpam-48	10	9	and	and	CCONJ
ejpam-48	10	10	the	the	DET
ejpam-48	10	11	set	set	NOUN
ejpam-48	10	12	p(n	p(n	PROPN
ejpam-48	10	13	)	)	PUNCT
ejpam-48	10	14	of	of	ADP
ejpam-48	10	15	all	all	DET
ejpam-48	10	16	subsets	subset	NOUN
ejpam-48	10	17	of	of	ADP
ejpam-48	10	18	the	the	DET
ejpam-48	10	19	set	set	NOUN
ejpam-48	10	20	of	of	ADP
ejpam-48	10	21	natural	natural	ADJ
ejpam-48	10	22	numbers	number	NOUN
ejpam-48	10	23	.	.	PUNCT
ejpam-48	11	1	in	in	ADP
ejpam-48	11	2	this	this	DET
ejpam-48	11	3	paper	paper	NOUN
ejpam-48	11	4	we	we	PRON
ejpam-48	11	5	study	study	VERB
ejpam-48	11	6	students	student	NOUN
ejpam-48	11	7	’	'	PUNCT
ejpam-48	11	8	thinking	think	VERB
ejpam-48	11	9	about	about	ADP
ejpam-48	11	10	the	the	DET
ejpam-48	11	11	tennis	tennis	NOUN
ejpam-48	11	12	ball	ball	NOUN
ejpam-48	11	13	problem	problem	NOUN
ejpam-48	11	14	which	which	PRON
ejpam-48	11	15	involves	involve	VERB
ejpam-48	11	16	movement	movement	NOUN
ejpam-48	11	17	of	of	ADP
ejpam-48	11	18	an	an	DET
ejpam-48	11	19	infinite	infinite	ADJ
ejpam-48	11	20	number	number	NOUN
ejpam-48	11	21	of	of	ADP
ejpam-48	11	22	tennis	tennis	NOUN
ejpam-48	11	23	balls	ball	NOUN
ejpam-48	11	24	among	among	ADP
ejpam-48	11	25	three	three	NUM
ejpam-48	11	26	bins	bin	NOUN
ejpam-48	11	27	.	.	PUNCT
ejpam-48	12	1	here	here	ADV
ejpam-48	12	2	,	,	PUNCT
ejpam-48	12	3	there	there	PRON
ejpam-48	12	4	are	be	VERB
ejpam-48	12	5	three	three	NUM
ejpam-48	12	6	coordinations	coordination	NOUN
ejpam-48	12	7	of	of	ADP
ejpam-48	12	8	infinite	infinite	ADJ
ejpam-48	12	9	processes	process	NOUN
ejpam-48	12	10	.	.	PUNCT
ejpam-48	13	1	as	as	ADP
ejpam-48	13	2	in	in	ADP
ejpam-48	13	3	[	[	X
ejpam-48	13	4	4	4	NUM
ejpam-48	13	5	]	]	PUNCT
ejpam-48	13	6	,	,	PUNCT
ejpam-48	13	7	our	our	PRON
ejpam-48	13	8	analysis	analysis	NOUN
ejpam-48	13	9	uses	use	VERB
ejpam-48	13	10	apos	apos	PROPN
ejpam-48	13	11	theory	theory	NOUN
ejpam-48	13	12	to	to	PART
ejpam-48	13	13	posit	posit	VERB
ejpam-48	13	14	a	a	DET
ejpam-48	13	15	description	description	NOUN
ejpam-48	13	16	of	of	ADP
ejpam-48	13	17	mental	mental	ADJ
ejpam-48	13	18	constructions	construction	NOUN
ejpam-48	13	19	needed	need	VERB
ejpam-48	13	20	to	to	PART
ejpam-48	13	21	solve	solve	VERB
ejpam-48	13	22	this	this	DET
ejpam-48	13	23	problem	problem	NOUN
ejpam-48	13	24	.	.	PUNCT
ejpam-48	14	1	we	we	PRON
ejpam-48	14	2	then	then	ADV
ejpam-48	14	3	interviewed	interview	VERB
ejpam-48	14	4	15	15	NUM
ejpam-48	14	5	students	student	NOUN
ejpam-48	14	6	working	work	VERB
ejpam-48	14	7	in	in	ADP
ejpam-48	14	8	groups	group	NOUN
ejpam-48	14	9	on	on	ADP
ejpam-48	14	10	the	the	DET
ejpam-48	14	11	problem	problem	NOUN
ejpam-48	14	12	and	and	CCONJ
ejpam-48	14	13	we	we	PRON
ejpam-48	14	14	detail	detail	VERB
ejpam-48	14	15	the	the	DET
ejpam-48	14	16	responses	response	NOUN
ejpam-48	14	17	of	of	ADP
ejpam-48	14	18	five	five	NUM
ejpam-48	14	19	of	of	ADP
ejpam-48	14	20	them	they	PRON
ejpam-48	14	21	,	,	PUNCT
ejpam-48	14	22	which	which	PRON
ejpam-48	14	23	represent	represent	VERB
ejpam-48	14	24	the	the	DET
ejpam-48	14	25	full	full	ADJ
ejpam-48	14	26	range	range	NOUN
ejpam-48	14	27	of	of	ADP
ejpam-48	14	28	comments	comment	NOUN
ejpam-48	14	29	of	of	ADP
ejpam-48	14	30	all	all	DET
ejpam-48	14	31	the	the	DET
ejpam-48	14	32	students	student	NOUN
ejpam-48	14	33	.	.	PUNCT
ejpam-48	15	1	we	we	PRON
ejpam-48	15	2	found	find	VERB
ejpam-48	15	3	that	that	SCONJ
ejpam-48	15	4	only	only	ADV
ejpam-48	15	5	one	one	NUM
ejpam-48	15	6	student	student	NOUN
ejpam-48	15	7	was	be	AUX
ejpam-48	15	8	able	able	ADJ
ejpam-48	15	9	to	to	PART
ejpam-48	15	10	give	give	VERB
ejpam-48	15	11	a	a	DET
ejpam-48	15	12	mathematically	mathematically	ADV
ejpam-48	15	13	correct	correct	ADJ
ejpam-48	15	14	solution	solution	NOUN
ejpam-48	15	15	to	to	ADP
ejpam-48	15	16	the	the	DET
ejpam-48	15	17	problem	problem	NOUN
ejpam-48	15	18	.	.	PUNCT
ejpam-48	16	1	the	the	DET
ejpam-48	16	2	responses	response	NOUN
ejpam-48	16	3	of	of	ADP
ejpam-48	16	4	the	the	DET
ejpam-48	16	5	successful	successful	ADJ
ejpam-48	16	6	student	student	NOUN
ejpam-48	16	7	indicated	indicate	VERB
ejpam-48	16	8	that	that	SCONJ
ejpam-48	16	9	he	he	PRON
ejpam-48	16	10	had	have	AUX
ejpam-48	16	11	made	make	VERB
ejpam-48	16	12	the	the	DET
ejpam-48	16	13	mental	mental	ADJ
ejpam-48	16	14	constructions	construction	NOUN
ejpam-48	16	15	called	call	VERB
ejpam-48	16	16	for	for	ADP
ejpam-48	16	17	in	in	ADP
ejpam-48	16	18	our	our	PRON
ejpam-48	16	19	apos	apos	NOUN
ejpam-48	16	20	analysis	analysis	NOUN
ejpam-48	16	21	whereas	whereas	SCONJ
ejpam-48	16	22	the	the	DET
ejpam-48	16	23	others	other	NOUN
ejpam-48	16	24	had	have	VERB
ejpam-48	16	25	not	not	PART
ejpam-48	16	26	.	.	PUNCT
ejpam-48	17	1	the	the	DET
ejpam-48	17	2	paper	paper	NOUN
ejpam-48	17	3	ends	end	VERB
ejpam-48	17	4	with	with	ADP
ejpam-48	17	5	pedagogical	pedagogical	ADJ
ejpam-48	17	6	suggestions	suggestion	NOUN
ejpam-48	17	7	and	and	CCONJ
ejpam-48	17	8	avenues	avenue	NOUN
ejpam-48	17	9	for	for	ADP
ejpam-48	17	10	future	future	ADJ
ejpam-48	17	11	research	research	NOUN
ejpam-48	17	12	.	.	PUNCT
ejpam-48	18	1	ams	am	NOUN
ejpam-48	18	2	subject	subject	ADJ
ejpam-48	18	3	classifications	classification	NOUN
ejpam-48	18	4	:	:	PUNCT
ejpam-48	18	5	26a18	26a18	NUM
ejpam-48	18	6	,	,	PUNCT
ejpam-48	18	7	97c50	97c50	NUM
ejpam-48	18	8	,	,	PUNCT
ejpam-48	18	9	11b99	11b99	NUM
ejpam-48	18	10	,	,	PUNCT
ejpam-48	18	11	11b99	11b99	NUM
ejpam-48	18	12	,	,	PUNCT
ejpam-48	18	13	97c20	97c20	NUM
ejpam-48	18	14	key	key	ADJ
ejpam-48	18	15	words	word	NOUN
ejpam-48	18	16	:	:	PUNCT
ejpam-48	18	17	infinite	infinite	ADJ
ejpam-48	18	18	iterative	iterative	NOUN
ejpam-48	18	19	processes	process	NOUN
ejpam-48	18	20	,	,	PUNCT
ejpam-48	18	21	apos	apos	PROPN
ejpam-48	18	22	theory	theory	NOUN
ejpam-48	18	23	,	,	PUNCT
ejpam-48	18	24	countable	countable	ADJ
ejpam-48	18	25	sets	set	NOUN
ejpam-48	18	26	,	,	PUNCT
ejpam-48	18	27	natural	natural	ADJ
ejpam-48	18	28	numbers	number	NOUN
ejpam-48	18	29	,	,	PUNCT
ejpam-48	18	30	student	student	NOUN
ejpam-48	18	31	learning	learning	NOUN
ejpam-48	18	32	and	and	CCONJ
ejpam-48	18	33	thinking	thinking	NOUN
ejpam-48	18	34	.	.	PUNCT
ejpam-48	19	1	1	1	X
ejpam-48	19	2	.	.	X
ejpam-48	19	3	introduction	introduction	NOUN
ejpam-48	19	4	iterative	iterative	NOUN
ejpam-48	19	5	processes	process	NOUN
ejpam-48	19	6	are	be	AUX
ejpam-48	19	7	central	central	ADJ
ejpam-48	19	8	to	to	ADP
ejpam-48	19	9	many	many	ADJ
ejpam-48	19	10	topics	topic	NOUN
ejpam-48	19	11	in	in	ADP
ejpam-48	19	12	the	the	DET
ejpam-48	19	13	undergraduate	undergraduate	NOUN
ejpam-48	19	14	curriculum	curriculum	NOUN
ejpam-48	19	15	,	,	PUNCT
ejpam-48	19	16	especially	especially	ADV
ejpam-48	19	17	the	the	DET
ejpam-48	19	18	study	study	NOUN
ejpam-48	19	19	of	of	ADP
ejpam-48	19	20	infinite	infinite	ADJ
ejpam-48	19	21	sequences	sequence	NOUN
ejpam-48	19	22	and	and	CCONJ
ejpam-48	19	23	countably	countably	ADV
ejpam-48	19	24	indexed	index	VERB
ejpam-48	19	25	collections	collection	NOUN
ejpam-48	19	26	.	.	PUNCT
ejpam-48	20	1	in	in	ADP
ejpam-48	20	2	their	their	PRON
ejpam-48	20	3	theory	theory	NOUN
ejpam-48	20	4	of	of	ADP
ejpam-48	20	5	embodied	embody	VERB
ejpam-48	20	6	cognition	cognition	NOUN
ejpam-48	20	7	,	,	PUNCT
ejpam-48	20	8	lakoff	lakoff	NOUN
ejpam-48	20	9	and	and	CCONJ
ejpam-48	20	10	núñez	núñez	VERB
ejpam-48	21	1	[	[	X
ejpam-48	21	2	1	1	AUX
ejpam-48	21	3	]	]	PUNCT
ejpam-48	21	4	suggest	suggest	VERB
ejpam-48	21	5	that	that	SCONJ
ejpam-48	21	6	iteration	iteration	NOUN
ejpam-48	21	7	forms	form	VERB
ejpam-48	21	8	the	the	DET
ejpam-48	21	9	conceptual	conceptual	ADJ
ejpam-48	21	10	basis	basis	NOUN
ejpam-48	21	11	of	of	ADP
ejpam-48	21	12	many	many	ADJ
ejpam-48	21	13	instances	instance	NOUN
ejpam-48	21	14	of	of	ADP
ejpam-48	21	15	actual	actual	ADJ
ejpam-48	21	16	infinity	infinity	NOUN
ejpam-48	21	17	.	.	PUNCT
ejpam-48	22	1	dubinsky	dubinsky	NOUN
ejpam-48	22	2	,	,	PUNCT
ejpam-48	22	3	weller	weller	NOUN
ejpam-48	22	4	,	,	PUNCT
ejpam-48	22	5	mcdonald	mcdonald	NOUN
ejpam-48	22	6	,	,	PUNCT
ejpam-48	22	7	and	and	CCONJ
ejpam-48	22	8	brown	brown	ADJ
ejpam-48	22	9	(	(	PUNCT
ejpam-48	22	10	[	[	X
ejpam-48	22	11	2	2	NUM
ejpam-48	22	12	]	]	PUNCT
ejpam-48	22	13	;	;	PUNCT
ejpam-48	23	1	[	[	X
ejpam-48	23	2	3	3	NUM
ejpam-48	23	3	]	]	PUNCT
ejpam-48	23	4	)	)	PUNCT
ejpam-48	23	5	illustrate	illustrate	VERB
ejpam-48	23	6	the	the	DET
ejpam-48	23	7	importance	importance	NOUN
ejpam-48	23	8	of	of	ADP
ejpam-48	23	9	infinite	infinite	ADJ
ejpam-48	23	10	iteration	iteration	NOUN
ejpam-48	23	11	in	in	ADP
ejpam-48	23	12	the	the	DET
ejpam-48	23	13	historical	historical	ADJ
ejpam-48	23	14	development	development	NOUN
ejpam-48	23	15	of	of	ADP
ejpam-48	23	16	mathematical	mathematical	ADJ
ejpam-48	23	17	infinity	infinity	NOUN
ejpam-48	23	18	.	.	PUNCT
ejpam-48	24	1	hence	hence	ADV
ejpam-48	24	2	,	,	PUNCT
ejpam-48	24	3	research	research	NOUN
ejpam-48	24	4	on	on	ADP
ejpam-48	24	5	students	student	NOUN
ejpam-48	24	6	’	'	PUNCT
ejpam-48	24	7	understandings	understanding	NOUN
ejpam-48	24	8	of	of	ADP
ejpam-48	24	9	infinite	infinite	ADJ
ejpam-48	24	10	iteration	iteration	NOUN
ejpam-48	24	11	has	have	VERB
ejpam-48	24	12	the	the	DET
ejpam-48	24	13	potential	potential	NOUN
ejpam-48	24	14	to	to	PART
ejpam-48	24	15	make	make	VERB
ejpam-48	24	16	an	an	DET
ejpam-48	24	17	important	important	ADJ
ejpam-48	24	18	contribution	contribution	NOUN
ejpam-48	24	19	to	to	AUX
ejpam-48	24	20	research	research	NOUN
ejpam-48	24	21	in	in	ADP
ejpam-48	24	22	mathematics	mathematic	NOUN
ejpam-48	24	23	education	education	NOUN
ejpam-48	24	24	.	.	PUNCT
ejpam-48	25	1	brown	brown	PROPN
ejpam-48	25	2	et	et	PROPN
ejpam-48	25	3	al	al	PROPN
ejpam-48	25	4	.	.	PUNCT
ejpam-48	26	1	[	[	X
ejpam-48	26	2	4	4	X
ejpam-48	26	3	]	]	PUNCT
ejpam-48	26	4	used	use	VERB
ejpam-48	26	5	apos	apos	PROPN
ejpam-48	26	6	theory	theory	NOUN
ejpam-48	26	7	to	to	PART
ejpam-48	26	8	offer	offer	VERB
ejpam-48	26	9	an	an	DET
ejpam-48	26	10	empirically	empirically	ADV
ejpam-48	26	11	-	-	PUNCT
ejpam-48	26	12	based	base	VERB
ejpam-48	26	13	description	description	NOUN
ejpam-48	26	14	of	of	ADP
ejpam-48	26	15	the	the	DET
ejpam-48	26	16	construction	construction	NOUN
ejpam-48	26	17	of	of	ADP
ejpam-48	26	18	infinite	infinite	ADJ
ejpam-48	26	19	iterative	iterative	NOUN
ejpam-48	26	20	processes	process	NOUN
ejpam-48	26	21	and	and	CCONJ
ejpam-48	26	22	their	their	PRON
ejpam-48	26	23	states	state	NOUN
ejpam-48	26	24	at	at	ADP
ejpam-48	26	25	infinity	infinity	NOUN
ejpam-48	26	26	.	.	PUNCT
ejpam-48	27	1	their	their	PRON
ejpam-48	27	2	description	description	NOUN
ejpam-48	27	3	was	be	AUX
ejpam-48	27	4	based	base	VERB
ejpam-48	27	5	on	on	ADP
ejpam-48	27	6	the	the	DET
ejpam-48	27	7	analysis	analysis	NOUN
ejpam-48	27	8	of	of	ADP
ejpam-48	27	9	interviews	interview	NOUN
ejpam-48	27	10	with	with	ADP
ejpam-48	27	11	12	12	NUM
ejpam-48	27	12	college	college	NOUN
ejpam-48	27	13	students	student	NOUN
ejpam-48	27	14	,	,	PUNCT
ejpam-48	27	15	who	who	PRON
ejpam-48	27	16	attempted	attempt	VERB
ejpam-48	27	17	to	to	PART
ejpam-48	27	18	solve	solve	VERB
ejpam-48	27	19	the	the	DET
ejpam-48	27	20	following	following	ADJ
ejpam-48	27	21	problem	problem	NOUN
ejpam-48	27	22	in	in	ADP
ejpam-48	27	23	elementary	elementary	ADJ
ejpam-48	27	24	set	set	PROPN
ejpam-48	27	25	theory	theory	NOUN
ejpam-48	27	26	,	,	PUNCT
ejpam-48	27	27	true	true	ADJ
ejpam-48	27	28	or	or	CCONJ
ejpam-48	27	29	false	false	ADJ
ejpam-48	27	30	:	:	PUNCT
ejpam-48	27	31			NOUN
ejpam-48	27	32			NUM
ejpam-48	27	33	∞	∞	NUM
ejpam-48	27	34	=	=	PUNCT
ejpam-48	27	35	=	=	SYM
ejpam-48	27	36	1	1	X
ejpam-48	27	37	)	)	PUNCT
ejpam-48	27	38	(	(	PUNCT
ejpam-48	27	39	}	}	PUNCT
ejpam-48	27	40	)	)	PUNCT
ejpam-48	27	41	,	,	PUNCT
ejpam-48	27	42	,	,	PUNCT
ejpam-48	27	43	2,1	2,1	NUM
ejpam-48	27	44	(	(	PUNCT
ejpam-48	27	45	{	{	PUNCT
ejpam-48	27	46	k	k	X
ejpam-48	27	47	npkp	npkp	X
ejpam-48	27	48	(	(	PUNCT
ejpam-48	27	49	*	*	NOUN
ejpam-48	27	50	)	)	PUNCT
ejpam-48	27	51	.	.	PUNCT
ejpam-48	28	1	e.	e.	PROPN
ejpam-48	28	2	dubinsky	dubinsky	PROPN
ejpam-48	28	3	et	et	PROPN
ejpam-48	28	4	al	al	PROPN
ejpam-48	28	5	.	.	PUNCT
ejpam-48	28	6	/	/	SYM
ejpam-48	28	7	eur	eur	PROPN
ejpam-48	28	8	.	.	PUNCT
ejpam-48	29	1	j.	j.	PROPN
ejpam-48	29	2	pure	pure	PROPN
ejpam-48	29	3	.	.	PUNCT
ejpam-48	30	1	appl	appl	PROPN
ejpam-48	30	2	.	.	PUNCT
ejpam-48	30	3	math	math	NOUN
ejpam-48	30	4	.	.	PUNCT
ejpam-48	31	1	1	1	NUM
ejpam-48	31	2	,	,	PUNCT
ejpam-48	31	3	(	(	PUNCT
ejpam-48	31	4	2008	2008	NUM
ejpam-48	31	5	)	)	PUNCT
ejpam-48	31	6	,	,	PUNCT
ejpam-48	31	7	(	(	PUNCT
ejpam-48	31	8	99	99	NUM
ejpam-48	31	9	-	-	SYM
ejpam-48	31	10	121	121	NUM
ejpam-48	31	11	)	)	PUNCT
ejpam-48	31	12	100	100	NUM
ejpam-48	31	13	in	in	ADP
ejpam-48	31	14	this	this	DET
ejpam-48	31	15	problem	problem	NOUN
ejpam-48	31	16	,	,	PUNCT
ejpam-48	31	17	pdenotes	pdenote	VERB
ejpam-48	31	18	the	the	DET
ejpam-48	31	19	power	power	NOUN
ejpam-48	31	20	set	set	NOUN
ejpam-48	31	21	operator	operator	NOUN
ejpam-48	31	22	,	,	PUNCT
ejpam-48	31	23	andnrepresents	andnrepresent	VERB
ejpam-48	31	24	the	the	DET
ejpam-48	31	25	set	set	NOUN
ejpam-48	31	26	of	of	ADP
ejpam-48	31	27	natural	natural	ADJ
ejpam-48	31	28	numbers	number	NOUN
ejpam-48	31	29	.	.	PUNCT
ejpam-48	32	1	although	although	SCONJ
ejpam-48	32	2	the	the	DET
ejpam-48	32	3	problem	problem	NOUN
ejpam-48	32	4	could	could	AUX
ejpam-48	32	5	be	be	AUX
ejpam-48	32	6	solved	solve	VERB
ejpam-48	32	7	using	use	VERB
ejpam-48	32	8	formal	formal	ADJ
ejpam-48	32	9	set	set	NOUN
ejpam-48	32	10	theory	theory	NOUN
ejpam-48	32	11	arguments	argument	NOUN
ejpam-48	32	12	,	,	PUNCT
ejpam-48	32	13	all	all	PRON
ejpam-48	32	14	of	of	ADP
ejpam-48	32	15	the	the	DET
ejpam-48	32	16	students	student	NOUN
ejpam-48	32	17	,	,	PUNCT
ejpam-48	32	18	at	at	ADP
ejpam-48	32	19	least	least	ADJ
ejpam-48	32	20	initially	initially	ADV
ejpam-48	32	21	,	,	PUNCT
ejpam-48	32	22	tried	try	VERB
ejpam-48	32	23	to	to	PART
ejpam-48	32	24	make	make	VERB
ejpam-48	32	25	sense	sense	NOUN
ejpam-48	32	26	of	of	ADP
ejpam-48	32	27	the	the	DET
ejpam-48	32	28	infinite	infinite	ADJ
ejpam-48	32	29	union	union	NOUN
ejpam-48	32	30	by	by	ADP
ejpam-48	32	31	constructing	construct	VERB
ejpam-48	32	32	iterative	iterative	NOUN
ejpam-48	32	33	processes	process	NOUN
ejpam-48	32	34	.	.	PUNCT
ejpam-48	33	1	the	the	DET
ejpam-48	33	2	present	present	ADJ
ejpam-48	33	3	study	study	NOUN
ejpam-48	33	4	extends	extend	VERB
ejpam-48	33	5	this	this	DET
ejpam-48	33	6	research	research	NOUN
ejpam-48	33	7	by	by	ADP
ejpam-48	33	8	analyzing	analyze	VERB
ejpam-48	33	9	the	the	DET
ejpam-48	33	10	thinking	thinking	NOUN
ejpam-48	33	11	of	of	ADP
ejpam-48	33	12	15	15	NUM
ejpam-48	33	13	college	college	NOUN
ejpam-48	33	14	students	student	NOUN
ejpam-48	33	15	in	in	ADP
ejpam-48	33	16	their	their	PRON
ejpam-48	33	17	attempts	attempt	NOUN
ejpam-48	33	18	to	to	PART
ejpam-48	33	19	solve	solve	VERB
ejpam-48	33	20	the	the	DET
ejpam-48	33	21	following	follow	VERB
ejpam-48	33	22	“	"	PUNCT
ejpam-48	33	23	tennis	tennis	NOUN
ejpam-48	33	24	ball	ball	NOUN
ejpam-48	33	25	problem	problem	NOUN
ejpam-48	33	26	”	"	PUNCT
ejpam-48	33	27	adapted	adapt	VERB
ejpam-48	33	28	from	from	ADP
ejpam-48	33	29	falk	falk	NOUN
ejpam-48	33	30	[	[	X
ejpam-48	33	31	5	5	NUM
ejpam-48	33	32	]	]	PUNCT
ejpam-48	33	33	:	:	PUNCT
ejpam-48	33	34	suppose	suppose	VERB
ejpam-48	33	35	that	that	SCONJ
ejpam-48	33	36	we	we	PRON
ejpam-48	33	37	have	have	VERB
ejpam-48	33	38	three	three	NUM
ejpam-48	33	39	bins	bin	NOUN
ejpam-48	33	40	of	of	ADP
ejpam-48	33	41	unlimited	unlimited	ADJ
ejpam-48	33	42	capacity	capacity	NOUN
ejpam-48	33	43	,	,	PUNCT
ejpam-48	33	44	labeled	label	VERB
ejpam-48	33	45	holding	hold	VERB
ejpam-48	33	46	bin	bin	PROPN
ejpam-48	33	47	,	,	PUNCT
ejpam-48	33	48	bin	bin	PROPN
ejpam-48	33	49	a	a	PRON
ejpam-48	33	50	,	,	PUNCT
ejpam-48	33	51	and	and	CCONJ
ejpam-48	33	52	bin	bin	PROPN
ejpam-48	33	53	t	t	PROPN
ejpam-48	33	54	,	,	PUNCT
ejpam-48	33	55	with	with	ADP
ejpam-48	33	56	a	a	DET
ejpam-48	33	57	dispenser	dispenser	NOUN
ejpam-48	33	58	button	button	NOUN
ejpam-48	33	59	that	that	SCONJ
ejpam-48	33	60	when	when	SCONJ
ejpam-48	33	61	pushed	push	VERB
ejpam-48	33	62	,	,	PUNCT
ejpam-48	33	63	moves	move	VERB
ejpam-48	33	64	balls	ball	NOUN
ejpam-48	33	65	from	from	ADP
ejpam-48	33	66	the	the	DET
ejpam-48	33	67	holding	hold	VERB
ejpam-48	33	68	bin	bin	NOUN
ejpam-48	33	69	to	to	ADP
ejpam-48	33	70	bin	bin	NOUN
ejpam-48	33	71	a.	a.	NOUN
ejpam-48	33	72	the	the	DET
ejpam-48	33	73	holding	hold	VERB
ejpam-48	33	74	bin	bin	PROPN
ejpam-48	33	75	contains	contain	VERB
ejpam-48	33	76	an	an	DET
ejpam-48	33	77	infinite	infinite	ADJ
ejpam-48	33	78	quantity	quantity	NOUN
ejpam-48	33	79	of	of	ADP
ejpam-48	33	80	tennis	tennis	NOUN
ejpam-48	33	81	balls	ball	NOUN
ejpam-48	33	82	,	,	PUNCT
ejpam-48	33	83	numbered	number	VERB
ejpam-48	33	84	1	1	NUM
ejpam-48	33	85	,	,	PUNCT
ejpam-48	33	86	2	2	NUM
ejpam-48	33	87	,	,	PUNCT
ejpam-48	33	88	3	3	NUM
ejpam-48	33	89	,	,	PUNCT
ejpam-48	33	90	…	…	PUNCT
ejpam-48	33	91	.	.	PUNCT
ejpam-48	34	1	half	half	DET
ejpam-48	34	2	a	a	DET
ejpam-48	34	3	minute	minute	NOUN
ejpam-48	34	4	before	before	ADP
ejpam-48	34	5	12:00	12:00	NUM
ejpam-48	34	6	noon	noon	NOUN
ejpam-48	34	7	,	,	PUNCT
ejpam-48	34	8	the	the	DET
ejpam-48	34	9	dispenser	dispenser	NOUN
ejpam-48	34	10	is	be	AUX
ejpam-48	34	11	pressed	press	VERB
ejpam-48	34	12	and	and	CCONJ
ejpam-48	34	13	balls	ball	VERB
ejpam-48	34	14	#	#	SYM
ejpam-48	34	15	1	1	NUM
ejpam-48	34	16	and	and	CCONJ
ejpam-48	34	17	#	#	SYM
ejpam-48	34	18	2	2	NUM
ejpam-48	34	19	drop	drop	NOUN
ejpam-48	34	20	into	into	ADP
ejpam-48	34	21	bin	bin	PROPN
ejpam-48	34	22	a	a	NOUN
ejpam-48	34	23	,	,	PUNCT
ejpam-48	34	24	and	and	CCONJ
ejpam-48	34	25	ball	ball	NOUN
ejpam-48	34	26	#	#	SYM
ejpam-48	34	27	1	1	NUM
ejpam-48	34	28	is	be	AUX
ejpam-48	34	29	moved	move	VERB
ejpam-48	34	30	instantaneously	instantaneously	ADV
ejpam-48	34	31	from	from	ADP
ejpam-48	34	32	a	a	PRON
ejpam-48	34	33	to	to	ADP
ejpam-48	34	34	t.	t.	PROPN
ejpam-48	34	35	a	a	DET
ejpam-48	34	36	quarter	quarter	NOUN
ejpam-48	34	37	of	of	ADP
ejpam-48	34	38	a	a	DET
ejpam-48	34	39	minute	minute	NOUN
ejpam-48	34	40	before	before	ADP
ejpam-48	34	41	12:00	12:00	NUM
ejpam-48	34	42	noon	noon	NOUN
ejpam-48	34	43	,	,	PUNCT
ejpam-48	34	44	the	the	DET
ejpam-48	34	45	dispenser	dispenser	NOUN
ejpam-48	34	46	is	be	AUX
ejpam-48	34	47	pressed	press	VERB
ejpam-48	34	48	again	again	ADV
ejpam-48	34	49	and	and	CCONJ
ejpam-48	34	50	balls	ball	NOUN
ejpam-48	34	51	#	#	SYM
ejpam-48	34	52	3	3	NUM
ejpam-48	34	53	and	and	CCONJ
ejpam-48	34	54	#	#	SYM
ejpam-48	34	55	4	4	NUM
ejpam-48	34	56	drop	drop	NOUN
ejpam-48	34	57	into	into	ADP
ejpam-48	34	58	bin	bin	PROPN
ejpam-48	34	59	a	a	NOUN
ejpam-48	34	60	,	,	PUNCT
ejpam-48	34	61	with	with	ADP
ejpam-48	34	62	the	the	DET
ejpam-48	34	63	smallest	small	ADJ
ejpam-48	34	64	numbered	number	VERB
ejpam-48	34	65	ball	ball	NOUN
ejpam-48	34	66	in	in	ADP
ejpam-48	34	67	bin	bin	PROPN
ejpam-48	34	68	a	a	PRON
ejpam-48	34	69	immediately	immediately	ADV
ejpam-48	34	70	moved	move	VERB
ejpam-48	34	71	into	into	ADP
ejpam-48	34	72	t.	t.	PROPN
ejpam-48	34	73	in	in	ADP
ejpam-48	34	74	the	the	DET
ejpam-48	34	75	next	next	ADJ
ejpam-48	34	76	step	step	NOUN
ejpam-48	34	77	,	,	PUNCT
ejpam-48	34	78	1/8th	1/8th	NUM
ejpam-48	34	79	of	of	ADP
ejpam-48	34	80	a	a	DET
ejpam-48	34	81	minute	minute	NOUN
ejpam-48	34	82	before	before	ADP
ejpam-48	34	83	12:00	12:00	NUM
ejpam-48	34	84	noon	noon	NOUN
ejpam-48	34	85	,	,	PUNCT
ejpam-48	34	86	the	the	DET
ejpam-48	34	87	dispenser	dispenser	NOUN
ejpam-48	34	88	is	be	AUX
ejpam-48	34	89	pressed	press	VERB
ejpam-48	34	90	and	and	CCONJ
ejpam-48	34	91	balls	ball	NOUN
ejpam-48	34	92	numbered	number	VERB
ejpam-48	34	93	#	#	SYM
ejpam-48	34	94	5	5	NUM
ejpam-48	34	95	and	and	CCONJ
ejpam-48	34	96	#	#	SYM
ejpam-48	34	97	6	6	NUM
ejpam-48	34	98	drop	drop	NOUN
ejpam-48	34	99	from	from	ADP
ejpam-48	34	100	the	the	DET
ejpam-48	34	101	holding	hold	VERB
ejpam-48	34	102	bin	bin	NOUN
ejpam-48	34	103	into	into	ADP
ejpam-48	34	104	bin	bin	PROPN
ejpam-48	34	105	a	a	PROPN
ejpam-48	34	106	,	,	PUNCT
ejpam-48	34	107	with	with	ADP
ejpam-48	34	108	the	the	DET
ejpam-48	34	109	smallest	small	ADJ
ejpam-48	34	110	numbered	number	VERB
ejpam-48	34	111	ball	ball	NOUN
ejpam-48	34	112	in	in	ADP
ejpam-48	34	113	bin	bin	PROPN
ejpam-48	34	114	a	a	PRON
ejpam-48	34	115	immediately	immediately	ADV
ejpam-48	34	116	moved	move	VERB
ejpam-48	34	117	into	into	ADP
ejpam-48	34	118	t.	t.	PROPN
ejpam-48	34	119	if	if	SCONJ
ejpam-48	34	120	the	the	DET
ejpam-48	34	121	pattern	pattern	NOUN
ejpam-48	34	122	just	just	ADV
ejpam-48	34	123	mentioned	mention	VERB
ejpam-48	34	124	continues	continue	VERB
ejpam-48	34	125	,	,	PUNCT
ejpam-48	34	126	what	what	PRON
ejpam-48	34	127	will	will	AUX
ejpam-48	34	128	be	be	AUX
ejpam-48	34	129	the	the	DET
ejpam-48	34	130	contents	content	NOUN
ejpam-48	34	131	of	of	ADP
ejpam-48	34	132	bin	bin	PROPN
ejpam-48	34	133	a	a	PROPN
ejpam-48	34	134	and	and	CCONJ
ejpam-48	34	135	bin	bin	PROPN
ejpam-48	34	136	t	t	PROPN
ejpam-48	34	137	at	at	ADP
ejpam-48	34	138	12	12	NUM
ejpam-48	34	139	noon	noon	NOUN
ejpam-48	34	140	?	?	PUNCT
ejpam-48	35	1	to	to	PART
ejpam-48	35	2	solve	solve	VERB
ejpam-48	35	3	the	the	DET
ejpam-48	35	4	tennis	tennis	NOUN
ejpam-48	35	5	ball	ball	NOUN
ejpam-48	35	6	problem	problem	NOUN
ejpam-48	35	7	,	,	PUNCT
ejpam-48	35	8	we	we	PRON
ejpam-48	35	9	hypothesize	hypothesize	VERB
ejpam-48	35	10	that	that	SCONJ
ejpam-48	35	11	an	an	DET
ejpam-48	35	12	individual	individual	NOUN
ejpam-48	35	13	needs	need	VERB
ejpam-48	35	14	to	to	PART
ejpam-48	35	15	coordinate	coordinate	VERB
ejpam-48	35	16	three	three	NUM
ejpam-48	35	17	infinite	infinite	ADJ
ejpam-48	35	18	iterative	iterative	NOUN
ejpam-48	35	19	processes	process	NOUN
ejpam-48	35	20	:	:	PUNCT
ejpam-48	35	21	between	between	ADP
ejpam-48	35	22	iteration	iteration	NOUN
ejpam-48	35	23	throughnand	throughnand	NOUN
ejpam-48	35	24	time	time	NOUN
ejpam-48	35	25	;	;	PUNCT
ejpam-48	35	26	between	between	ADP
ejpam-48	35	27	iteration	iteration	NOUN
ejpam-48	35	28	through	through	ADP
ejpam-48	35	29	n	n	NOUN
ejpam-48	35	30	and	and	CCONJ
ejpam-48	35	31	the	the	DET
ejpam-48	35	32	movements	movement	NOUN
ejpam-48	35	33	of	of	ADP
ejpam-48	35	34	the	the	DET
ejpam-48	35	35	tennis	tennis	NOUN
ejpam-48	35	36	balls	ball	NOUN
ejpam-48	35	37	;	;	PUNCT
ejpam-48	35	38	and	and	CCONJ
ejpam-48	35	39	between	between	ADP
ejpam-48	35	40	the	the	DET
ejpam-48	35	41	process	process	NOUN
ejpam-48	35	42	resulting	result	VERB
ejpam-48	35	43	from	from	ADP
ejpam-48	35	44	the	the	DET
ejpam-48	35	45	first	first	ADJ
ejpam-48	35	46	two	two	NUM
ejpam-48	35	47	coordinations	coordination	NOUN
ejpam-48	35	48	.	.	PUNCT
ejpam-48	36	1	as	as	ADP
ejpam-48	36	2	a	a	DET
ejpam-48	36	3	result	result	NOUN
ejpam-48	36	4	,	,	PUNCT
ejpam-48	36	5	the	the	DET
ejpam-48	36	6	tennis	tennis	NOUN
ejpam-48	36	7	ball	ball	NOUN
ejpam-48	36	8	problem	problem	NOUN
ejpam-48	36	9	is	be	AUX
ejpam-48	36	10	a	a	DET
ejpam-48	36	11	two	two	NUM
ejpam-48	36	12	-	-	PUNCT
ejpam-48	36	13	dimensional	dimensional	ADJ
ejpam-48	36	14	infinite	infinite	ADJ
ejpam-48	36	15	iterative	iterative	NOUN
ejpam-48	36	16	process	process	NOUN
ejpam-48	36	17	whose	whose	DET
ejpam-48	36	18	cognition	cognition	NOUN
ejpam-48	36	19	raises	raise	VERB
ejpam-48	36	20	issues	issue	NOUN
ejpam-48	36	21	not	not	PART
ejpam-48	36	22	found	find	VERB
ejpam-48	36	23	in	in	ADP
ejpam-48	36	24	[	[	X
ejpam-48	36	25	4	4	NUM
ejpam-48	36	26	]	]	PUNCT
ejpam-48	36	27	,	,	PUNCT
ejpam-48	36	28	where	where	SCONJ
ejpam-48	36	29	only	only	ADV
ejpam-48	36	30	a	a	DET
ejpam-48	36	31	single	single	ADJ
ejpam-48	36	32	iterative	iterative	NOUN
ejpam-48	36	33	process	process	NOUN
ejpam-48	36	34	was	be	AUX
ejpam-48	36	35	studied	study	VERB
ejpam-48	36	36	.	.	PUNCT
ejpam-48	37	1	this	this	DET
ejpam-48	37	2	study	study	NOUN
ejpam-48	37	3	follows	follow	VERB
ejpam-48	37	4	the	the	DET
ejpam-48	37	5	paradigm	paradigm	NOUN
ejpam-48	37	6	presented	present	VERB
ejpam-48	37	7	in	in	ADP
ejpam-48	37	8	asiala	asiala	PROPN
ejpam-48	37	9	et	et	PROPN
ejpam-48	37	10	al	al	PROPN
ejpam-48	37	11	.	.	PUNCT
ejpam-48	38	1	[	[	X
ejpam-48	38	2	6	6	NUM
ejpam-48	38	3	]	]	PUNCT
ejpam-48	38	4	.	.	PUNCT
ejpam-48	39	1	we	we	PRON
ejpam-48	39	2	begin	begin	VERB
ejpam-48	39	3	with	with	ADP
ejpam-48	39	4	a	a	DET
ejpam-48	39	5	preliminary	preliminary	ADJ
ejpam-48	39	6	genetic	genetic	ADJ
ejpam-48	39	7	decomposition	decomposition	NOUN
ejpam-48	39	8	of	of	ADP
ejpam-48	39	9	a	a	DET
ejpam-48	39	10	two	two	NUM
ejpam-48	39	11	-	-	PUNCT
ejpam-48	39	12	dimensional	dimensional	ADJ
ejpam-48	39	13	infinite	infinite	ADJ
ejpam-48	39	14	iterative	iterative	NOUN
ejpam-48	39	15	process	process	NOUN
ejpam-48	39	16	,	,	PUNCT
ejpam-48	39	17	which	which	PRON
ejpam-48	39	18	is	be	AUX
ejpam-48	39	19	rooted	root	VERB
ejpam-48	39	20	in	in	ADP
ejpam-48	39	21	the	the	DET
ejpam-48	39	22	theoretical	theoretical	ADJ
ejpam-48	39	23	description	description	NOUN
ejpam-48	39	24	of	of	ADP
ejpam-48	39	25	a	a	DET
ejpam-48	39	26	single	single	ADJ
ejpam-48	39	27	infinite	infinite	ADJ
ejpam-48	39	28	iterative	iterative	NOUN
ejpam-48	39	29	process	process	NOUN
ejpam-48	39	30	offered	offer	VERB
ejpam-48	39	31	by	by	ADP
ejpam-48	39	32	brown	brown	PROPN
ejpam-48	39	33	et	et	PROPN
ejpam-48	39	34	al	al	PROPN
ejpam-48	39	35	.	.	PUNCT
ejpam-48	40	1	[	[	X
ejpam-48	40	2	4	4	NUM
ejpam-48	40	3	]	]	PUNCT
ejpam-48	40	4	.	.	PUNCT
ejpam-48	41	1	we	we	PRON
ejpam-48	41	2	then	then	ADV
ejpam-48	41	3	make	make	VERB
ejpam-48	41	4	an	an	DET
ejpam-48	41	5	apos	apos	NOUN
ejpam-48	41	6	-	-	PUNCT
ejpam-48	41	7	based	base	VERB
ejpam-48	41	8	analysis	analysis	NOUN
ejpam-48	41	9	of	of	ADP
ejpam-48	41	10	interviews	interview	NOUN
ejpam-48	41	11	of	of	ADP
ejpam-48	41	12	students	student	NOUN
ejpam-48	41	13	who	who	PRON
ejpam-48	41	14	tried	try	VERB
ejpam-48	41	15	to	to	PART
ejpam-48	41	16	solve	solve	VERB
ejpam-48	41	17	the	the	DET
ejpam-48	41	18	tennis	tennis	NOUN
ejpam-48	41	19	ball	ball	NOUN
ejpam-48	41	20	problem	problem	NOUN
ejpam-48	41	21	.	.	PUNCT
ejpam-48	42	1	our	our	PRON
ejpam-48	42	2	analysis	analysis	NOUN
ejpam-48	42	3	will	will	AUX
ejpam-48	42	4	reveal	reveal	VERB
ejpam-48	42	5	that	that	SCONJ
ejpam-48	42	6	our	our	PRON
ejpam-48	42	7	preliminary	preliminary	ADJ
ejpam-48	42	8	genetic	genetic	ADJ
ejpam-48	42	9	decomposition	decomposition	NOUN
ejpam-48	42	10	appears	appear	VERB
ejpam-48	42	11	to	to	PART
ejpam-48	42	12	effectively	effectively	ADV
ejpam-48	42	13	describe	describe	VERB
ejpam-48	42	14	their	their	PRON
ejpam-48	42	15	thinking	thinking	NOUN
ejpam-48	42	16	:	:	PUNCT
ejpam-48	42	17	the	the	DET
ejpam-48	42	18	lone	lone	ADJ
ejpam-48	42	19	student	student	NOUN
ejpam-48	42	20	who	who	PRON
ejpam-48	42	21	gave	give	VERB
ejpam-48	42	22	a	a	DET
ejpam-48	42	23	mathematically	mathematically	ADV
ejpam-48	42	24	correct	correct	ADJ
ejpam-48	42	25	solution	solution	NOUN
ejpam-48	42	26	of	of	ADP
ejpam-48	42	27	the	the	DET
ejpam-48	42	28	problem	problem	NOUN
ejpam-48	42	29	made	make	VERB
ejpam-48	42	30	the	the	DET
ejpam-48	42	31	mental	mental	ADJ
ejpam-48	42	32	constructions	construction	NOUN
ejpam-48	42	33	called	call	VERB
ejpam-48	42	34	for	for	ADP
ejpam-48	42	35	by	by	ADP
ejpam-48	42	36	the	the	DET
ejpam-48	42	37	analysis	analysis	NOUN
ejpam-48	42	38	;	;	PUNCT
ejpam-48	42	39	students	student	NOUN
ejpam-48	42	40	who	who	PRON
ejpam-48	42	41	were	be	AUX
ejpam-48	42	42	not	not	PART
ejpam-48	42	43	successful	successful	ADJ
ejpam-48	42	44	failed	fail	VERB
ejpam-48	42	45	to	to	PART
ejpam-48	42	46	make	make	VERB
ejpam-48	42	47	one	one	NUM
ejpam-48	42	48	or	or	CCONJ
ejpam-48	42	49	more	more	ADJ
ejpam-48	42	50	of	of	ADP
ejpam-48	42	51	those	those	DET
ejpam-48	42	52	constructions	construction	NOUN
ejpam-48	42	53	.	.	PUNCT
ejpam-48	43	1	in	in	ADP
ejpam-48	43	2	the	the	DET
ejpam-48	43	3	next	next	ADJ
ejpam-48	43	4	section	section	NOUN
ejpam-48	43	5	,	,	PUNCT
ejpam-48	43	6	we	we	PRON
ejpam-48	43	7	briefly	briefly	ADV
ejpam-48	43	8	describe	describe	VERB
ejpam-48	43	9	apos	apos	NOUN
ejpam-48	43	10	theory	theory	NOUN
ejpam-48	43	11	,	,	PUNCT
ejpam-48	43	12	present	present	VERB
ejpam-48	43	13	the	the	DET
ejpam-48	43	14	description	description	NOUN
ejpam-48	43	15	of	of	ADP
ejpam-48	43	16	infinite	infinite	ADJ
ejpam-48	43	17	iterative	iterative	NOUN
ejpam-48	43	18	processes	process	NOUN
ejpam-48	43	19	offered	offer	VERB
ejpam-48	43	20	by	by	ADP
ejpam-48	43	21	brown	brown	PROPN
ejpam-48	43	22	et	et	PROPN
ejpam-48	43	23	al	al	PROPN
ejpam-48	43	24	.	.	PUNCT
ejpam-48	44	1	[	[	X
ejpam-48	44	2	4	4	NUM
ejpam-48	44	3	]	]	PUNCT
ejpam-48	44	4	,	,	PUNCT
ejpam-48	44	5	discuss	discuss	VERB
ejpam-48	44	6	the	the	DET
ejpam-48	44	7	preliminary	preliminary	ADJ
ejpam-48	44	8	genetic	genetic	ADJ
ejpam-48	44	9	decomposition	decomposition	NOUN
ejpam-48	44	10	of	of	ADP
ejpam-48	44	11	the	the	DET
ejpam-48	44	12	two	two	NUM
ejpam-48	44	13	-	-	PUNCT
ejpam-48	44	14	dimensional	dimensional	ADJ
ejpam-48	44	15	infinite	infinite	ADJ
ejpam-48	44	16	iterative	iterative	NOUN
ejpam-48	44	17	process	process	NOUN
ejpam-48	44	18	motivated	motivate	VERB
ejpam-48	44	19	by	by	ADP
ejpam-48	44	20	the	the	DET
ejpam-48	44	21	tennis	tennis	NOUN
ejpam-48	44	22	ball	ball	NOUN
ejpam-48	44	23	problem	problem	NOUN
ejpam-48	44	24	,	,	PUNCT
ejpam-48	44	25	and	and	CCONJ
ejpam-48	44	26	relate	relate	VERB
ejpam-48	44	27	the	the	DET
ejpam-48	44	28	present	present	ADJ
ejpam-48	44	29	study	study	NOUN
ejpam-48	44	30	with	with	ADP
ejpam-48	44	31	other	other	ADJ
ejpam-48	44	32	related	related	ADJ
ejpam-48	44	33	literature	literature	NOUN
ejpam-48	44	34	,	,	PUNCT
ejpam-48	44	35	particularly	particularly	ADV
ejpam-48	44	36	lakoff	lakoff	NOUN
ejpam-48	44	37	and	and	CCONJ
ejpam-48	44	38	núñez	núñez	VERB
ejpam-48	45	1	[	[	X
ejpam-48	45	2	1	1	X
ejpam-48	45	3	]	]	PUNCT
ejpam-48	45	4	and	and	CCONJ
ejpam-48	45	5	fischbein	fischbein	NOUN
ejpam-48	46	1	[	[	X
ejpam-48	46	2	7	7	NUM
ejpam-48	46	3	]	]	PUNCT
ejpam-48	46	4	.	.	PUNCT
ejpam-48	47	1	we	we	PRON
ejpam-48	47	2	then	then	ADV
ejpam-48	47	3	describe	describe	VERB
ejpam-48	47	4	the	the	DET
ejpam-48	47	5	methodology	methodology	NOUN
ejpam-48	47	6	used	use	VERB
ejpam-48	47	7	to	to	PART
ejpam-48	47	8	analyze	analyze	VERB
ejpam-48	47	9	the	the	DET
ejpam-48	47	10	data	datum	NOUN
ejpam-48	47	11	.	.	PUNCT
ejpam-48	48	1	in	in	ADP
ejpam-48	48	2	the	the	DET
ejpam-48	48	3	main	main	ADJ
ejpam-48	48	4	part	part	NOUN
ejpam-48	48	5	of	of	ADP
ejpam-48	48	6	the	the	DET
ejpam-48	48	7	paper	paper	NOUN
ejpam-48	48	8	,	,	PUNCT
ejpam-48	48	9	we	we	PRON
ejpam-48	48	10	analyze	analyze	VERB
ejpam-48	48	11	the	the	DET
ejpam-48	48	12	thinking	thinking	NOUN
ejpam-48	48	13	of	of	ADP
ejpam-48	48	14	five	five	NUM
ejpam-48	48	15	students	student	NOUN
ejpam-48	48	16	whose	whose	DET
ejpam-48	48	17	responses	response	NOUN
ejpam-48	48	18	represent	represent	VERB
ejpam-48	48	19	the	the	DET
ejpam-48	48	20	full	full	ADJ
ejpam-48	48	21	range	range	NOUN
ejpam-48	48	22	of	of	ADP
ejpam-48	48	23	comments	comment	NOUN
ejpam-48	48	24	made	make	VERB
ejpam-48	48	25	by	by	ADP
ejpam-48	48	26	students	student	NOUN
ejpam-48	48	27	in	in	ADP
ejpam-48	48	28	this	this	DET
ejpam-48	48	29	study	study	NOUN
ejpam-48	48	30	.	.	PUNCT
ejpam-48	49	1	in	in	ADP
ejpam-48	49	2	the	the	DET
ejpam-48	49	3	last	last	ADJ
ejpam-48	49	4	section	section	NOUN
ejpam-48	49	5	,	,	PUNCT
ejpam-48	49	6	we	we	PRON
ejpam-48	49	7	summarize	summarize	VERB
ejpam-48	49	8	our	our	PRON
ejpam-48	49	9	findings	finding	NOUN
ejpam-48	49	10	,	,	PUNCT
ejpam-48	49	11	relate	relate	VERB
ejpam-48	49	12	our	our	PRON
ejpam-48	49	13	results	result	NOUN
ejpam-48	49	14	to	to	ADP
ejpam-48	49	15	existing	exist	VERB
ejpam-48	49	16	literature	literature	NOUN
ejpam-48	49	17	,	,	PUNCT
ejpam-48	49	18	suggest	suggest	VERB
ejpam-48	49	19	possible	possible	ADJ
ejpam-48	49	20	pedagogical	pedagogical	ADJ
ejpam-48	49	21	implications	implication	NOUN
ejpam-48	49	22	,	,	PUNCT
ejpam-48	49	23	and	and	CCONJ
ejpam-48	49	24	consider	consider	VERB
ejpam-48	49	25	potential	potential	ADJ
ejpam-48	49	26	avenues	avenue	NOUN
ejpam-48	49	27	for	for	ADP
ejpam-48	49	28	future	future	ADJ
ejpam-48	49	29	research	research	NOUN
ejpam-48	49	30	.	.	PUNCT
ejpam-48	50	1	apos	apos	PROPN
ejpam-48	50	2	and	and	CCONJ
ejpam-48	50	3	related	relate	VERB
ejpam-48	50	4	literature	literature	NOUN
ejpam-48	50	5	in	in	ADP
ejpam-48	50	6	this	this	DET
ejpam-48	50	7	section	section	NOUN
ejpam-48	50	8	,	,	PUNCT
ejpam-48	50	9	we	we	PRON
ejpam-48	50	10	describe	describe	VERB
ejpam-48	50	11	some	some	PRON
ejpam-48	50	12	of	of	ADP
ejpam-48	50	13	the	the	DET
ejpam-48	50	14	literature	literature	NOUN
ejpam-48	50	15	related	relate	VERB
ejpam-48	50	16	to	to	ADP
ejpam-48	50	17	this	this	DET
ejpam-48	50	18	study	study	NOUN
ejpam-48	50	19	.	.	PUNCT
ejpam-48	51	1	we	we	PRON
ejpam-48	51	2	begin	begin	VERB
ejpam-48	51	3	with	with	ADP
ejpam-48	51	4	an	an	DET
ejpam-48	51	5	explanation	explanation	NOUN
ejpam-48	51	6	of	of	ADP
ejpam-48	51	7	apos	apos	PROPN
ejpam-48	51	8	theory	theory	NOUN
ejpam-48	51	9	.	.	PUNCT
ejpam-48	52	1	a	a	DET
ejpam-48	52	2	description	description	NOUN
ejpam-48	52	3	of	of	ADP
ejpam-48	52	4	apos	apos	PROPN
ejpam-48	52	5	theory	theory	NOUN
ejpam-48	52	6	apos	apos	PROPN
ejpam-48	52	7	theory	theory	NOUN
ejpam-48	52	8	,	,	PUNCT
ejpam-48	52	9	a	a	DET
ejpam-48	52	10	constructivist	constructivist	ADJ
ejpam-48	52	11	theory	theory	NOUN
ejpam-48	52	12	of	of	ADP
ejpam-48	52	13	learning	learning	NOUN
ejpam-48	52	14	,	,	PUNCT
ejpam-48	52	15	is	be	AUX
ejpam-48	52	16	an	an	DET
ejpam-48	52	17	extension	extension	NOUN
ejpam-48	52	18	of	of	ADP
ejpam-48	52	19	piaget	piaget	PROPN
ejpam-48	52	20	’s	’s	PART
ejpam-48	52	21	theory	theory	NOUN
ejpam-48	52	22	of	of	ADP
ejpam-48	52	23	reflective	reflective	ADJ
ejpam-48	52	24	abstraction	abstraction	NOUN
ejpam-48	52	25	applied	apply	VERB
ejpam-48	52	26	to	to	ADP
ejpam-48	52	27	the	the	DET
ejpam-48	52	28	study	study	NOUN
ejpam-48	52	29	of	of	ADP
ejpam-48	52	30	the	the	DET
ejpam-48	52	31	cognition	cognition	NOUN
ejpam-48	52	32	of	of	ADP
ejpam-48	52	33	mathematical	mathematical	ADJ
ejpam-48	52	34	concepts	concept	NOUN
ejpam-48	52	35	at	at	ADP
ejpam-48	52	36	the	the	DET
ejpam-48	52	37	undergraduate	undergraduate	ADJ
ejpam-48	52	38	level	level	NOUN
ejpam-48	52	39	.	.	PUNCT
ejpam-48	53	1	piaget	piaget	NOUN
ejpam-48	54	1	[	[	X
ejpam-48	54	2	8	8	NUM
ejpam-48	54	3	]	]	PUNCT
ejpam-48	54	4	noted	note	VERB
ejpam-48	54	5	a	a	DET
ejpam-48	54	6	close	close	ADJ
ejpam-48	54	7	relationship	relationship	NOUN
ejpam-48	54	8	between	between	ADP
ejpam-48	54	9	the	the	DET
ejpam-48	54	10	nature	nature	NOUN
ejpam-48	54	11	of	of	ADP
ejpam-48	54	12	a	a	DET
ejpam-48	54	13	mathematical	mathematical	ADJ
ejpam-48	54	14	concept	concept	NOUN
ejpam-48	54	15	and	and	CCONJ
ejpam-48	54	16	its	its	PRON
ejpam-48	54	17	development	development	NOUN
ejpam-48	54	18	in	in	ADP
ejpam-48	54	19	the	the	DET
ejpam-48	54	20	mind	mind	NOUN
ejpam-48	54	21	of	of	ADP
ejpam-48	54	22	an	an	DET
ejpam-48	54	23	individual	individual	NOUN
ejpam-48	54	24	.	.	PUNCT
ejpam-48	55	1	hence	hence	ADV
ejpam-48	55	2	,	,	PUNCT
ejpam-48	55	3	analysis	analysis	NOUN
ejpam-48	55	4	based	base	VERB
ejpam-48	55	5	on	on	ADP
ejpam-48	55	6	apos	apos	PROPN
ejpam-48	55	7	theory	theory	NOUN
ejpam-48	55	8	is	be	AUX
ejpam-48	55	9	both	both	PRON
ejpam-48	55	10	epistemological	epistemological	ADJ
ejpam-48	55	11	and	and	CCONJ
ejpam-48	55	12	psychological	psychological	ADJ
ejpam-48	55	13	.	.	PUNCT
ejpam-48	56	1	e.	e.	PROPN
ejpam-48	56	2	dubinsky	dubinsky	PROPN
ejpam-48	56	3	et	et	PROPN
ejpam-48	56	4	al	al	PROPN
ejpam-48	56	5	.	.	PUNCT
ejpam-48	56	6	/	/	SYM
ejpam-48	56	7	eur	eur	PROPN
ejpam-48	56	8	.	.	PUNCT
ejpam-48	57	1	j.	j.	PROPN
ejpam-48	57	2	pure	pure	PROPN
ejpam-48	57	3	.	.	PUNCT
ejpam-48	58	1	appl	appl	PROPN
ejpam-48	58	2	.	.	PUNCT
ejpam-48	58	3	math	math	NOUN
ejpam-48	58	4	.	.	PUNCT
ejpam-48	59	1	1	1	NUM
ejpam-48	59	2	,	,	PUNCT
ejpam-48	59	3	(	(	PUNCT
ejpam-48	59	4	2008	2008	NUM
ejpam-48	59	5	)	)	PUNCT
ejpam-48	60	1	,	,	PUNCT
ejpam-48	60	2	(	(	PUNCT
ejpam-48	60	3	99	99	NUM
ejpam-48	60	4	-	-	SYM
ejpam-48	60	5	121	121	NUM
ejpam-48	60	6	)	)	PUNCT
ejpam-48	60	7	101	101	NUM
ejpam-48	60	8	the	the	DET
ejpam-48	60	9	acronym	acronym	NOUN
ejpam-48	60	10	apos	apos	NOUN
ejpam-48	60	11	,	,	PUNCT
ejpam-48	60	12	denoting	denote	VERB
ejpam-48	60	13	action	action	NOUN
ejpam-48	60	14	,	,	PUNCT
ejpam-48	60	15	process	process	NOUN
ejpam-48	60	16	,	,	PUNCT
ejpam-48	60	17	object	object	NOUN
ejpam-48	60	18	,	,	PUNCT
ejpam-48	60	19	schema	schema	NOUN
ejpam-48	60	20	,	,	PUNCT
ejpam-48	60	21	refers	refer	VERB
ejpam-48	60	22	to	to	ADP
ejpam-48	60	23	the	the	DET
ejpam-48	60	24	types	type	NOUN
ejpam-48	60	25	of	of	ADP
ejpam-48	60	26	mental	mental	ADJ
ejpam-48	60	27	structures	structure	NOUN
ejpam-48	60	28	an	an	DET
ejpam-48	60	29	individual	individual	NOUN
ejpam-48	60	30	builds	build	VERB
ejpam-48	60	31	in	in	ADP
ejpam-48	60	32	responding	respond	VERB
ejpam-48	60	33	to	to	ADP
ejpam-48	60	34	certain	certain	ADJ
ejpam-48	60	35	problem	problem	NOUN
ejpam-48	60	36	solving	solving	NOUN
ejpam-48	60	37	situations	situation	NOUN
ejpam-48	60	38	.	.	PUNCT
ejpam-48	61	1	an	an	DET
ejpam-48	61	2	individual	individual	NOUN
ejpam-48	61	3	uses	use	VERB
ejpam-48	61	4	certain	certain	ADJ
ejpam-48	61	5	mental	mental	ADJ
ejpam-48	61	6	mechanisms	mechanism	NOUN
ejpam-48	61	7	,	,	PUNCT
ejpam-48	61	8	such	such	ADJ
ejpam-48	61	9	as	as	ADP
ejpam-48	61	10	interiorization	interiorization	NOUN
ejpam-48	61	11	,	,	PUNCT
ejpam-48	61	12	coordination	coordination	NOUN
ejpam-48	61	13	,	,	PUNCT
ejpam-48	61	14	and	and	CCONJ
ejpam-48	61	15	encapsulation	encapsulation	NOUN
ejpam-48	61	16	to	to	PART
ejpam-48	61	17	construct	construct	VERB
ejpam-48	61	18	these	these	DET
ejpam-48	61	19	structures	structure	NOUN
ejpam-48	61	20	.	.	PUNCT
ejpam-48	62	1	according	accord	VERB
ejpam-48	62	2	to	to	ADP
ejpam-48	62	3	the	the	DET
ejpam-48	62	4	theory	theory	NOUN
ejpam-48	62	5	,	,	PUNCT
ejpam-48	62	6	formation	formation	NOUN
ejpam-48	62	7	of	of	ADP
ejpam-48	62	8	a	a	DET
ejpam-48	62	9	mathematical	mathematical	ADJ
ejpam-48	62	10	concept	concept	NOUN
ejpam-48	62	11	begins	begin	VERB
ejpam-48	62	12	as	as	SCONJ
ejpam-48	62	13	one	one	NUM
ejpam-48	62	14	applies	apply	VERB
ejpam-48	62	15	a	a	DET
ejpam-48	62	16	transformation	transformation	NOUN
ejpam-48	62	17	to	to	ADP
ejpam-48	62	18	existing	exist	VERB
ejpam-48	62	19	mental	mental	ADJ
ejpam-48	62	20	objects	object	NOUN
ejpam-48	62	21	.	.	PUNCT
ejpam-48	63	1	the	the	DET
ejpam-48	63	2	transformation	transformation	NOUN
ejpam-48	63	3	is	be	AUX
ejpam-48	63	4	first	first	ADV
ejpam-48	63	5	conceived	conceive	VERB
ejpam-48	63	6	as	as	ADP
ejpam-48	63	7	an	an	DET
ejpam-48	63	8	action	action	NOUN
ejpam-48	63	9	.	.	PUNCT
ejpam-48	64	1	this	this	PRON
ejpam-48	64	2	is	be	AUX
ejpam-48	64	3	indicated	indicate	VERB
ejpam-48	64	4	by	by	ADP
ejpam-48	64	5	the	the	DET
ejpam-48	64	6	explicit	explicit	ADJ
ejpam-48	64	7	execution	execution	NOUN
ejpam-48	64	8	of	of	ADP
ejpam-48	64	9	all	all	DET
ejpam-48	64	10	the	the	DET
ejpam-48	64	11	steps	step	NOUN
ejpam-48	64	12	of	of	ADP
ejpam-48	64	13	the	the	DET
ejpam-48	64	14	transformation	transformation	NOUN
ejpam-48	64	15	,	,	PUNCT
ejpam-48	64	16	with	with	ADP
ejpam-48	64	17	each	each	DET
ejpam-48	64	18	step	step	NOUN
ejpam-48	64	19	triggering	trigger	VERB
ejpam-48	64	20	the	the	DET
ejpam-48	64	21	one	one	NOUN
ejpam-48	64	22	that	that	PRON
ejpam-48	64	23	follows	follow	VERB
ejpam-48	64	24	.	.	PUNCT
ejpam-48	65	1	as	as	ADP
ejpam-48	65	2	an	an	DET
ejpam-48	65	3	individual	individual	ADJ
ejpam-48	65	4	repeats	repeat	NOUN
ejpam-48	65	5	and	and	CCONJ
ejpam-48	65	6	reflects	reflect	VERB
ejpam-48	65	7	on	on	ADP
ejpam-48	65	8	an	an	DET
ejpam-48	65	9	action	action	NOUN
ejpam-48	65	10	,	,	PUNCT
ejpam-48	65	11	it	it	PRON
ejpam-48	65	12	may	may	AUX
ejpam-48	65	13	be	be	AUX
ejpam-48	65	14	interiorized	interiorize	VERB
ejpam-48	65	15	into	into	ADP
ejpam-48	65	16	a	a	DET
ejpam-48	65	17	mental	mental	ADJ
ejpam-48	65	18	process	process	NOUN
ejpam-48	65	19	.	.	PUNCT
ejpam-48	66	1	at	at	ADP
ejpam-48	66	2	this	this	DET
ejpam-48	66	3	point	point	NOUN
ejpam-48	66	4	,	,	PUNCT
ejpam-48	66	5	the	the	DET
ejpam-48	66	6	individual	individual	NOUN
ejpam-48	66	7	reconstructs	reconstruct	VERB
ejpam-48	66	8	the	the	DET
ejpam-48	66	9	action	action	NOUN
ejpam-48	66	10	in	in	ADP
ejpam-48	66	11	her	she	PRON
ejpam-48	66	12	or	or	CCONJ
ejpam-48	66	13	his	his	PRON
ejpam-48	66	14	mind	mind	NOUN
ejpam-48	66	15	and	and	CCONJ
ejpam-48	66	16	perceives	perceive	VERB
ejpam-48	66	17	it	it	PRON
ejpam-48	66	18	as	as	ADP
ejpam-48	66	19	being	be	AUX
ejpam-48	66	20	wholly	wholly	ADV
ejpam-48	66	21	under	under	ADP
ejpam-48	66	22	her	she	PRON
ejpam-48	66	23	or	or	CCONJ
ejpam-48	66	24	his	his	PRON
ejpam-48	66	25	control	control	NOUN
ejpam-48	66	26	,	,	PUNCT
ejpam-48	66	27	demonstrating	demonstrate	VERB
ejpam-48	66	28	an	an	DET
ejpam-48	66	29	ability	ability	NOUN
ejpam-48	66	30	to	to	PART
ejpam-48	66	31	apply	apply	VERB
ejpam-48	66	32	the	the	DET
ejpam-48	66	33	transformation	transformation	NOUN
ejpam-48	66	34	without	without	ADP
ejpam-48	66	35	needing	need	VERB
ejpam-48	66	36	to	to	PART
ejpam-48	66	37	perform	perform	VERB
ejpam-48	66	38	each	each	DET
ejpam-48	66	39	step	step	NOUN
ejpam-48	66	40	explicitly	explicitly	ADV
ejpam-48	66	41	.	.	PUNCT
ejpam-48	67	1	when	when	SCONJ
ejpam-48	67	2	necessary	necessary	ADJ
ejpam-48	67	3	,	,	PUNCT
ejpam-48	67	4	the	the	DET
ejpam-48	67	5	individual	individual	NOUN
ejpam-48	67	6	can	can	AUX
ejpam-48	67	7	mentally	mentally	ADV
ejpam-48	67	8	reverse	reverse	VERB
ejpam-48	67	9	the	the	DET
ejpam-48	67	10	steps	step	NOUN
ejpam-48	67	11	of	of	ADP
ejpam-48	67	12	the	the	DET
ejpam-48	67	13	process	process	NOUN
ejpam-48	67	14	,	,	PUNCT
ejpam-48	67	15	as	as	ADV
ejpam-48	67	16	well	well	ADV
ejpam-48	67	17	as	as	ADP
ejpam-48	67	18	make	make	VERB
ejpam-48	67	19	coordinations	coordination	NOUN
ejpam-48	67	20	with	with	ADP
ejpam-48	67	21	previously	previously	ADV
ejpam-48	67	22	constructed	construct	VERB
ejpam-48	67	23	processes	process	NOUN
ejpam-48	67	24	.	.	PUNCT
ejpam-48	68	1	some	some	DET
ejpam-48	68	2	problem	problem	NOUN
ejpam-48	68	3	solving	solve	VERB
ejpam-48	68	4	situations	situation	NOUN
ejpam-48	68	5	involve	involve	VERB
ejpam-48	68	6	transformation	transformation	NOUN
ejpam-48	68	7	of	of	ADP
ejpam-48	68	8	the	the	DET
ejpam-48	68	9	process	process	NOUN
ejpam-48	68	10	itself	itself	PRON
ejpam-48	68	11	.	.	PUNCT
ejpam-48	69	1	this	this	PRON
ejpam-48	69	2	requires	require	VERB
ejpam-48	69	3	a	a	DET
ejpam-48	69	4	shift	shift	NOUN
ejpam-48	69	5	in	in	ADP
ejpam-48	69	6	thinking	thinking	NOUN
ejpam-48	69	7	,	,	PUNCT
ejpam-48	69	8	from	from	ADP
ejpam-48	69	9	seeing	see	VERB
ejpam-48	69	10	the	the	DET
ejpam-48	69	11	original	original	ADJ
ejpam-48	69	12	transformation	transformation	NOUN
ejpam-48	69	13	as	as	SCONJ
ejpam-48	69	14	something	something	PRON
ejpam-48	69	15	one	one	NUM
ejpam-48	69	16	does	do	VERB
ejpam-48	69	17	,	,	PUNCT
ejpam-48	69	18	with	with	ADP
ejpam-48	69	19	a	a	DET
ejpam-48	69	20	focus	focus	NOUN
ejpam-48	69	21	on	on	ADP
ejpam-48	69	22	the	the	DET
ejpam-48	69	23	steps	step	NOUN
ejpam-48	69	24	that	that	PRON
ejpam-48	69	25	constitute	constitute	VERB
ejpam-48	69	26	it	it	PRON
ejpam-48	69	27	,	,	PUNCT
ejpam-48	69	28	to	to	ADP
ejpam-48	69	29	a	a	DET
ejpam-48	69	30	conception	conception	NOUN
ejpam-48	69	31	of	of	ADP
ejpam-48	69	32	the	the	DET
ejpam-48	69	33	transformation	transformation	NOUN
ejpam-48	69	34	as	as	ADP
ejpam-48	69	35	a	a	DET
ejpam-48	69	36	static	static	ADJ
ejpam-48	69	37	entity	entity	NOUN
ejpam-48	69	38	,	,	PUNCT
ejpam-48	69	39	something	something	PRON
ejpam-48	69	40	to	to	PART
ejpam-48	69	41	which	which	PRON
ejpam-48	69	42	actions	action	NOUN
ejpam-48	69	43	can	can	AUX
ejpam-48	69	44	be	be	AUX
ejpam-48	69	45	applied	apply	VERB
ejpam-48	69	46	.	.	PUNCT
ejpam-48	70	1	to	to	PART
ejpam-48	70	2	engender	engender	VERB
ejpam-48	70	3	this	this	DET
ejpam-48	70	4	shift	shift	NOUN
ejpam-48	70	5	,	,	PUNCT
ejpam-48	70	6	the	the	DET
ejpam-48	70	7	individual	individual	NOUN
ejpam-48	70	8	needs	need	VERB
ejpam-48	70	9	to	to	PART
ejpam-48	70	10	encapsulate	encapsulate	VERB
ejpam-48	70	11	the	the	DET
ejpam-48	70	12	process	process	NOUN
ejpam-48	70	13	into	into	ADP
ejpam-48	70	14	a	a	DET
ejpam-48	70	15	mental	mental	ADJ
ejpam-48	70	16	object	object	NOUN
ejpam-48	70	17	.	.	PUNCT
ejpam-48	71	1	in	in	ADP
ejpam-48	71	2	order	order	NOUN
ejpam-48	71	3	for	for	ADP
ejpam-48	71	4	encapsulation	encapsulation	NOUN
ejpam-48	71	5	to	to	PART
ejpam-48	71	6	occur	occur	VERB
ejpam-48	71	7	,	,	PUNCT
ejpam-48	71	8	the	the	DET
ejpam-48	71	9	individual	individual	ADJ
ejpam-48	71	10	first	first	ADV
ejpam-48	71	11	needs	need	VERB
ejpam-48	71	12	to	to	PART
ejpam-48	71	13	see	see	VERB
ejpam-48	71	14	the	the	DET
ejpam-48	71	15	process	process	NOUN
ejpam-48	71	16	as	as	ADV
ejpam-48	71	17	complete	complete	ADJ
ejpam-48	71	18	,	,	PUNCT
ejpam-48	71	19	that	that	ADV
ejpam-48	71	20	is	is	ADV
ejpam-48	71	21	,	,	PUNCT
ejpam-48	71	22	he	he	PRON
ejpam-48	71	23	or	or	CCONJ
ejpam-48	71	24	she	she	PRON
ejpam-48	71	25	needs	need	VERB
ejpam-48	71	26	to	to	PART
ejpam-48	71	27	be	be	AUX
ejpam-48	71	28	able	able	ADJ
ejpam-48	71	29	to	to	PART
ejpam-48	71	30	imagine	imagine	VERB
ejpam-48	71	31	that	that	SCONJ
ejpam-48	71	32	all	all	PRON
ejpam-48	71	33	of	of	ADP
ejpam-48	71	34	the	the	DET
ejpam-48	71	35	steps	step	NOUN
ejpam-48	71	36	have	have	AUX
ejpam-48	71	37	been	be	AUX
ejpam-48	71	38	carried	carry	VERB
ejpam-48	71	39	out	out	ADP
ejpam-48	71	40	and	and	CCONJ
ejpam-48	71	41	to	to	PART
ejpam-48	71	42	know	know	VERB
ejpam-48	71	43	the	the	DET
ejpam-48	71	44	salient	salient	NOUN
ejpam-48	71	45	properties	property	NOUN
ejpam-48	71	46	of	of	ADP
ejpam-48	71	47	each	each	DET
ejpam-48	71	48	step	step	NOUN
ejpam-48	71	49	.	.	PUNCT
ejpam-48	72	1	this	this	PRON
ejpam-48	72	2	has	have	AUX
ejpam-48	72	3	always	always	ADV
ejpam-48	72	4	been	be	AUX
ejpam-48	72	5	a	a	DET
ejpam-48	72	6	feature	feature	NOUN
ejpam-48	72	7	of	of	ADP
ejpam-48	72	8	any	any	DET
ejpam-48	72	9	fully	fully	ADV
ejpam-48	72	10	developed	develop	VERB
ejpam-48	72	11	process	process	NOUN
ejpam-48	72	12	conception	conception	NOUN
ejpam-48	72	13	,	,	PUNCT
ejpam-48	72	14	but	but	CCONJ
ejpam-48	72	15	is	be	AUX
ejpam-48	72	16	particularly	particularly	ADV
ejpam-48	72	17	important	important	ADJ
ejpam-48	72	18	in	in	ADP
ejpam-48	72	19	the	the	DET
ejpam-48	72	20	case	case	NOUN
ejpam-48	72	21	of	of	ADP
ejpam-48	72	22	infinite	infinite	ADJ
ejpam-48	72	23	processes	process	NOUN
ejpam-48	72	24	where	where	SCONJ
ejpam-48	72	25	there	there	PRON
ejpam-48	72	26	is	be	VERB
ejpam-48	72	27	no	no	DET
ejpam-48	72	28	last	last	ADJ
ejpam-48	72	29	step	step	NOUN
ejpam-48	72	30	.	.	PUNCT
ejpam-48	73	1	the	the	DET
ejpam-48	73	2	ability	ability	NOUN
ejpam-48	73	3	to	to	PART
ejpam-48	73	4	conceive	conceive	VERB
ejpam-48	73	5	of	of	ADP
ejpam-48	73	6	a	a	DET
ejpam-48	73	7	process	process	NOUN
ejpam-48	73	8	as	as	ADP
ejpam-48	73	9	complete	complete	ADJ
ejpam-48	73	10	is	be	AUX
ejpam-48	73	11	nevertheless	nevertheless	ADV
ejpam-48	73	12	insufficient	insufficient	ADJ
ejpam-48	73	13	for	for	ADP
ejpam-48	73	14	encapsulation	encapsulation	NOUN
ejpam-48	73	15	.	.	PUNCT
ejpam-48	74	1	this	this	PRON
ejpam-48	74	2	was	be	AUX
ejpam-48	74	3	demonstrated	demonstrate	VERB
ejpam-48	74	4	empirically	empirically	ADV
ejpam-48	74	5	in	in	ADP
ejpam-48	74	6	[	[	X
ejpam-48	74	7	4	4	NUM
ejpam-48	74	8	]	]	PUNCT
ejpam-48	74	9	,	,	PUNCT
ejpam-48	74	10	where	where	SCONJ
ejpam-48	74	11	one	one	NUM
ejpam-48	74	12	student	student	NOUN
ejpam-48	74	13	,	,	PUNCT
ejpam-48	74	14	who	who	PRON
ejpam-48	74	15	conceived	conceive	VERB
ejpam-48	74	16	of	of	ADP
ejpam-48	74	17	the	the	DET
ejpam-48	74	18	iterative	iterative	NOUN
ejpam-48	74	19	process	process	NOUN
ejpam-48	74	20	corresponding	correspond	VERB
ejpam-48	74	21	to	to	ADP
ejpam-48	74	22	the	the	DET
ejpam-48	74	23	infinite	infinite	ADJ
ejpam-48	74	24	unions	union	NOUN
ejpam-48	74	25	as	as	ADP
ejpam-48	74	26	complete	complete	ADJ
ejpam-48	74	27	,	,	PUNCT
ejpam-48	74	28	could	could	AUX
ejpam-48	74	29	not	not	PART
ejpam-48	74	30	successfully	successfully	ADV
ejpam-48	74	31	construct	construct	VERB
ejpam-48	74	32	the	the	DET
ejpam-48	74	33	state	state	NOUN
ejpam-48	74	34	at	at	ADP
ejpam-48	74	35	infinity	infinity	NOUN
ejpam-48	74	36	.	.	PUNCT
ejpam-48	75	1	what	what	PRON
ejpam-48	75	2	was	be	AUX
ejpam-48	75	3	missing	missing	ADJ
ejpam-48	75	4	was	be	AUX
ejpam-48	75	5	that	that	SCONJ
ejpam-48	75	6	the	the	DET
ejpam-48	75	7	student	student	NOUN
ejpam-48	75	8	had	have	AUX
ejpam-48	75	9	not	not	PART
ejpam-48	75	10	yet	yet	ADV
ejpam-48	75	11	made	make	VERB
ejpam-48	75	12	the	the	DET
ejpam-48	75	13	transition	transition	NOUN
ejpam-48	75	14	from	from	ADP
ejpam-48	75	15	seeing	see	VERB
ejpam-48	75	16	the	the	DET
ejpam-48	75	17	steps	step	NOUN
ejpam-48	75	18	of	of	ADP
ejpam-48	75	19	the	the	DET
ejpam-48	75	20	process	process	NOUN
ejpam-48	75	21	as	as	SCONJ
ejpam-48	75	22	carried	carry	VERB
ejpam-48	75	23	out	out	ADP
ejpam-48	75	24	over	over	ADP
ejpam-48	75	25	time	time	NOUN
ejpam-48	75	26	to	to	ADP
ejpam-48	75	27	thinking	thinking	NOUN
ejpam-48	75	28	of	of	ADP
ejpam-48	75	29	the	the	DET
ejpam-48	75	30	steps	step	NOUN
ejpam-48	75	31	of	of	ADP
ejpam-48	75	32	the	the	DET
ejpam-48	75	33	process	process	NOUN
ejpam-48	75	34	as	as	ADP
ejpam-48	75	35	being	be	AUX
ejpam-48	75	36	carried	carry	VERB
ejpam-48	75	37	out	out	ADP
ejpam-48	75	38	at	at	ADP
ejpam-48	75	39	a	a	DET
ejpam-48	75	40	moment	moment	NOUN
ejpam-48	75	41	in	in	ADP
ejpam-48	75	42	time	time	NOUN
ejpam-48	75	43	.	.	PUNCT
ejpam-48	76	1	that	that	PRON
ejpam-48	76	2	is	is	ADV
ejpam-48	76	3	,	,	PUNCT
ejpam-48	76	4	the	the	DET
ejpam-48	76	5	student	student	NOUN
ejpam-48	76	6	did	do	AUX
ejpam-48	76	7	not	not	PART
ejpam-48	76	8	yet	yet	ADV
ejpam-48	76	9	see	see	VERB
ejpam-48	76	10	the	the	DET
ejpam-48	76	11	process	process	NOUN
ejpam-48	76	12	as	as	ADP
ejpam-48	76	13	a	a	DET
ejpam-48	76	14	totality	totality	NOUN
ejpam-48	76	15	,	,	PUNCT
ejpam-48	76	16	or	or	CCONJ
ejpam-48	76	17	single	single	ADJ
ejpam-48	76	18	operation	operation	NOUN
ejpam-48	76	19	.	.	PUNCT
ejpam-48	77	1	although	although	SCONJ
ejpam-48	77	2	totality	totality	NOUN
ejpam-48	77	3	,	,	PUNCT
ejpam-48	77	4	like	like	ADP
ejpam-48	77	5	completeness	completeness	NOUN
ejpam-48	77	6	,	,	PUNCT
ejpam-48	77	7	is	be	AUX
ejpam-48	77	8	always	always	ADV
ejpam-48	77	9	part	part	NOUN
ejpam-48	77	10	of	of	ADP
ejpam-48	77	11	the	the	DET
ejpam-48	77	12	transition	transition	NOUN
ejpam-48	77	13	from	from	ADP
ejpam-48	77	14	process	process	NOUN
ejpam-48	77	15	to	to	PART
ejpam-48	77	16	object	object	VERB
ejpam-48	77	17	in	in	ADP
ejpam-48	77	18	apos	apos	PROPN
ejpam-48	77	19	theory	theory	NOUN
ejpam-48	77	20	,	,	PUNCT
ejpam-48	77	21	brown	brown	PROPN
ejpam-48	77	22	et	et	PROPN
ejpam-48	77	23	al	al	PROPN
ejpam-48	77	24	.	.	PUNCT
ejpam-48	78	1	[	[	X
ejpam-48	78	2	4	4	X
ejpam-48	78	3	]	]	PUNCT
ejpam-48	78	4	highlighted	highlight	VERB
ejpam-48	78	5	its	its	PRON
ejpam-48	78	6	importance	importance	NOUN
ejpam-48	78	7	in	in	ADP
ejpam-48	78	8	the	the	DET
ejpam-48	78	9	case	case	NOUN
ejpam-48	78	10	of	of	ADP
ejpam-48	78	11	infinite	infinite	ADJ
ejpam-48	78	12	processes	process	NOUN
ejpam-48	78	13	,	,	PUNCT
ejpam-48	78	14	where	where	SCONJ
ejpam-48	78	15	it	it	PRON
ejpam-48	78	16	is	be	AUX
ejpam-48	78	17	particularly	particularly	ADV
ejpam-48	78	18	difficult	difficult	ADJ
ejpam-48	78	19	for	for	SCONJ
ejpam-48	78	20	an	an	DET
ejpam-48	78	21	individual	individual	NOUN
ejpam-48	78	22	to	to	PART
ejpam-48	78	23	consider	consider	VERB
ejpam-48	78	24	infinitely	infinitely	ADV
ejpam-48	78	25	many	many	ADJ
ejpam-48	78	26	steps	step	NOUN
ejpam-48	78	27	simultaneously	simultaneously	ADV
ejpam-48	78	28	.	.	PUNCT
ejpam-48	79	1	when	when	SCONJ
ejpam-48	79	2	an	an	DET
ejpam-48	79	3	individual	individual	NOUN
ejpam-48	79	4	sees	see	VERB
ejpam-48	79	5	a	a	DET
ejpam-48	79	6	process	process	NOUN
ejpam-48	79	7	as	as	ADP
ejpam-48	79	8	both	both	CCONJ
ejpam-48	79	9	complete	complete	ADJ
ejpam-48	79	10	and	and	CCONJ
ejpam-48	79	11	as	as	ADP
ejpam-48	79	12	a	a	DET
ejpam-48	79	13	totality	totality	NOUN
ejpam-48	79	14	,	,	PUNCT
ejpam-48	79	15	we	we	PRON
ejpam-48	79	16	say	say	VERB
ejpam-48	79	17	that	that	SCONJ
ejpam-48	79	18	the	the	DET
ejpam-48	79	19	individual	individual	NOUN
ejpam-48	79	20	sees	see	VERB
ejpam-48	79	21	the	the	DET
ejpam-48	79	22	transformation	transformation	NOUN
ejpam-48	79	23	as	as	ADP
ejpam-48	79	24	a	a	DET
ejpam-48	79	25	completed	complete	VERB
ejpam-48	79	26	totality	totality	NOUN
ejpam-48	79	27	.	.	PUNCT
ejpam-48	80	1	such	such	DET
ejpam-48	80	2	a	a	DET
ejpam-48	80	3	conception	conception	NOUN
ejpam-48	80	4	corresponds	correspond	VERB
ejpam-48	80	5	to	to	ADP
ejpam-48	80	6	sfard	sfard	NOUN
ejpam-48	80	7	’s	’s	NOUN
ejpam-48	80	8	[	[	X
ejpam-48	80	9	9	9	NUM
ejpam-48	80	10	]	]	PUNCT
ejpam-48	80	11	notion	notion	NOUN
ejpam-48	80	12	of	of	ADP
ejpam-48	80	13	condensation	condensation	NOUN
ejpam-48	80	14	,	,	PUNCT
ejpam-48	80	15	which	which	PRON
ejpam-48	80	16	refers	refer	VERB
ejpam-48	80	17	to	to	ADP
ejpam-48	80	18	the	the	DET
ejpam-48	80	19	mental	mental	ADJ
ejpam-48	80	20	compression	compression	NOUN
ejpam-48	80	21	of	of	ADP
ejpam-48	80	22	a	a	DET
ejpam-48	80	23	process	process	NOUN
ejpam-48	80	24	into	into	ADP
ejpam-48	80	25	a	a	DET
ejpam-48	80	26	unified	unified	ADJ
ejpam-48	80	27	whole	whole	NOUN
ejpam-48	80	28	.	.	PUNCT
ejpam-48	81	1	the	the	DET
ejpam-48	81	2	ability	ability	NOUN
ejpam-48	81	3	to	to	PART
ejpam-48	81	4	apply	apply	VERB
ejpam-48	81	5	an	an	DET
ejpam-48	81	6	action	action	NOUN
ejpam-48	81	7	or	or	CCONJ
ejpam-48	81	8	process	process	NOUN
ejpam-48	81	9	to	to	ADP
ejpam-48	81	10	a	a	DET
ejpam-48	81	11	completed	complete	VERB
ejpam-48	81	12	totality	totality	NOUN
ejpam-48	81	13	indicates	indicate	VERB
ejpam-48	81	14	that	that	SCONJ
ejpam-48	81	15	an	an	DET
ejpam-48	81	16	encapsulation	encapsulation	NOUN
ejpam-48	81	17	has	have	AUX
ejpam-48	81	18	taken	take	VERB
ejpam-48	81	19	place	place	NOUN
ejpam-48	81	20	in	in	ADP
ejpam-48	81	21	the	the	DET
ejpam-48	81	22	mind	mind	NOUN
ejpam-48	81	23	of	of	ADP
ejpam-48	81	24	the	the	DET
ejpam-48	81	25	individual	individual	NOUN
ejpam-48	81	26	and	and	CCONJ
ejpam-48	81	27	that	that	SCONJ
ejpam-48	81	28	he	he	PRON
ejpam-48	81	29	or	or	CCONJ
ejpam-48	81	30	she	she	PRON
ejpam-48	81	31	sees	see	VERB
ejpam-48	81	32	the	the	DET
ejpam-48	81	33	transformation	transformation	NOUN
ejpam-48	81	34	as	as	ADP
ejpam-48	81	35	a	a	DET
ejpam-48	81	36	mental	mental	ADJ
ejpam-48	81	37	object	object	NOUN
ejpam-48	81	38	.	.	PUNCT
ejpam-48	82	1	in	in	ADP
ejpam-48	82	2	developing	develop	VERB
ejpam-48	82	3	an	an	DET
ejpam-48	82	4	understanding	understanding	NOUN
ejpam-48	82	5	of	of	ADP
ejpam-48	82	6	a	a	DET
ejpam-48	82	7	mathematical	mathematical	ADJ
ejpam-48	82	8	topic	topic	NOUN
ejpam-48	82	9	,	,	PUNCT
ejpam-48	82	10	an	an	DET
ejpam-48	82	11	individual	individual	NOUN
ejpam-48	82	12	often	often	ADV
ejpam-48	82	13	constructs	construct	VERB
ejpam-48	82	14	many	many	ADJ
ejpam-48	82	15	actions	action	NOUN
ejpam-48	82	16	,	,	PUNCT
ejpam-48	82	17	processes	process	NOUN
ejpam-48	82	18	,	,	PUNCT
ejpam-48	82	19	and	and	CCONJ
ejpam-48	82	20	objects	object	NOUN
ejpam-48	82	21	.	.	PUNCT
ejpam-48	83	1	when	when	SCONJ
ejpam-48	83	2	these	these	DET
ejpam-48	83	3	structures	structure	NOUN
ejpam-48	83	4	are	be	AUX
ejpam-48	83	5	organized	organize	VERB
ejpam-48	83	6	and	and	CCONJ
ejpam-48	83	7	linked	link	VERB
ejpam-48	83	8	into	into	ADP
ejpam-48	83	9	a	a	DET
ejpam-48	83	10	coherent	coherent	ADJ
ejpam-48	83	11	framework	framework	NOUN
ejpam-48	83	12	,	,	PUNCT
ejpam-48	83	13	characterized	characterize	VERB
ejpam-48	83	14	in	in	ADP
ejpam-48	83	15	part	part	NOUN
ejpam-48	83	16	by	by	ADP
ejpam-48	83	17	an	an	DET
ejpam-48	83	18	ability	ability	NOUN
ejpam-48	83	19	to	to	PART
ejpam-48	83	20	determine	determine	VERB
ejpam-48	83	21	which	which	PRON
ejpam-48	83	22	phenomena	phenomenon	NOUN
ejpam-48	83	23	can	can	AUX
ejpam-48	83	24	be	be	AUX
ejpam-48	83	25	assimilated	assimilate	VERB
ejpam-48	83	26	,	,	PUNCT
ejpam-48	83	27	that	that	ADV
ejpam-48	83	28	is	is	ADV
ejpam-48	83	29	,	,	PUNCT
ejpam-48	83	30	dealt	deal	VERB
ejpam-48	83	31	with	with	ADP
ejpam-48	83	32	,	,	PUNCT
ejpam-48	83	33	by	by	ADP
ejpam-48	83	34	these	these	DET
ejpam-48	83	35	constructions	construction	NOUN
ejpam-48	83	36	,	,	PUNCT
ejpam-48	83	37	we	we	PRON
ejpam-48	83	38	say	say	VERB
ejpam-48	83	39	that	that	SCONJ
ejpam-48	83	40	the	the	DET
ejpam-48	83	41	individual	individual	NOUN
ejpam-48	83	42	has	have	AUX
ejpam-48	83	43	constructed	construct	VERB
ejpam-48	83	44	a	a	DET
ejpam-48	83	45	schema	schema	NOUN
ejpam-48	83	46	for	for	ADP
ejpam-48	83	47	the	the	DET
ejpam-48	83	48	topic	topic	NOUN
ejpam-48	83	49	.	.	PUNCT
ejpam-48	84	1	although	although	SCONJ
ejpam-48	84	2	action	action	NOUN
ejpam-48	84	3	,	,	PUNCT
ejpam-48	84	4	process	process	NOUN
ejpam-48	84	5	,	,	PUNCT
ejpam-48	84	6	and	and	CCONJ
ejpam-48	84	7	object	object	VERB
ejpam-48	84	8	conceptions	conception	NOUN
ejpam-48	84	9	constitute	constitute	VERB
ejpam-48	84	10	a	a	DET
ejpam-48	84	11	hierarchy	hierarchy	NOUN
ejpam-48	84	12	of	of	ADP
ejpam-48	84	13	the	the	DET
ejpam-48	84	14	development	development	NOUN
ejpam-48	84	15	of	of	ADP
ejpam-48	84	16	a	a	DET
ejpam-48	84	17	concept	concept	NOUN
ejpam-48	84	18	,	,	PUNCT
ejpam-48	84	19	the	the	DET
ejpam-48	84	20	mental	mental	ADJ
ejpam-48	84	21	formation	formation	NOUN
ejpam-48	84	22	of	of	ADP
ejpam-48	84	23	one	one	NUM
ejpam-48	84	24	conception	conception	NOUN
ejpam-48	84	25	does	do	AUX
ejpam-48	84	26	not	not	PART
ejpam-48	84	27	replace	replace	VERB
ejpam-48	84	28	that	that	PRON
ejpam-48	84	29	of	of	ADP
ejpam-48	84	30	another	another	PRON
ejpam-48	84	31	.	.	PUNCT
ejpam-48	85	1	when	when	SCONJ
ejpam-48	85	2	necessary	necessary	ADJ
ejpam-48	85	3	,	,	PUNCT
ejpam-48	85	4	an	an	DET
ejpam-48	85	5	individual	individual	NOUN
ejpam-48	85	6	may	may	AUX
ejpam-48	85	7	de	de	VERB
ejpam-48	85	8	-	-	VERB
ejpam-48	85	9	encapsulate	encapsulate	VERB
ejpam-48	85	10	an	an	DET
ejpam-48	85	11	object	object	NOUN
ejpam-48	85	12	back	back	ADV
ejpam-48	85	13	to	to	ADP
ejpam-48	85	14	its	its	PRON
ejpam-48	85	15	underlying	underlie	VERB
ejpam-48	85	16	process	process	NOUN
ejpam-48	85	17	.	.	PUNCT
ejpam-48	86	1	in	in	ADP
ejpam-48	86	2	other	other	ADJ
ejpam-48	86	3	situations	situation	NOUN
ejpam-48	86	4	,	,	PUNCT
ejpam-48	86	5	the	the	DET
ejpam-48	86	6	individual	individual	NOUN
ejpam-48	86	7	may	may	AUX
ejpam-48	86	8	think	think	VERB
ejpam-48	86	9	of	of	ADP
ejpam-48	86	10	the	the	DET
ejpam-48	86	11	transformation	transformation	NOUN
ejpam-48	86	12	in	in	ADP
ejpam-48	86	13	terms	term	NOUN
ejpam-48	86	14	of	of	ADP
ejpam-48	86	15	actions	action	NOUN
ejpam-48	86	16	.	.	PUNCT
ejpam-48	87	1	hence	hence	ADV
ejpam-48	87	2	,	,	PUNCT
ejpam-48	87	3	formation	formation	NOUN
ejpam-48	87	4	of	of	ADP
ejpam-48	87	5	action	action	NOUN
ejpam-48	87	6	,	,	PUNCT
ejpam-48	87	7	process	process	NOUN
ejpam-48	87	8	,	,	PUNCT
ejpam-48	87	9	and	and	CCONJ
ejpam-48	87	10	object	object	VERB
ejpam-48	87	11	conceptions	conception	NOUN
ejpam-48	87	12	constitutes	constitute	VERB
ejpam-48	87	13	the	the	DET
ejpam-48	87	14	full	full	ADJ
ejpam-48	87	15	mental	mental	ADJ
ejpam-48	87	16	conceptualization	conceptualization	NOUN
ejpam-48	87	17	of	of	ADP
ejpam-48	87	18	a	a	DET
ejpam-48	87	19	transformation	transformation	NOUN
ejpam-48	87	20	.	.	PUNCT
ejpam-48	88	1	in	in	ADP
ejpam-48	88	2	trying	try	VERB
ejpam-48	88	3	to	to	PART
ejpam-48	88	4	develop	develop	VERB
ejpam-48	88	5	a	a	DET
ejpam-48	88	6	theoretical	theoretical	ADJ
ejpam-48	88	7	description	description	NOUN
ejpam-48	88	8	of	of	ADP
ejpam-48	88	9	students	student	NOUN
ejpam-48	88	10	’	'	PUNCT
ejpam-48	88	11	thinking	think	VERB
ejpam-48	88	12	about	about	ADP
ejpam-48	88	13	a	a	DET
ejpam-48	88	14	concept	concept	NOUN
ejpam-48	88	15	,	,	PUNCT
ejpam-48	88	16	researchers	researcher	NOUN
ejpam-48	88	17	devise	devise	VERB
ejpam-48	88	18	a	a	DET
ejpam-48	88	19	preliminary	preliminary	ADJ
ejpam-48	88	20	genetic	genetic	ADJ
ejpam-48	88	21	decomposition	decomposition	NOUN
ejpam-48	88	22	.	.	PUNCT
ejpam-48	89	1	this	this	PRON
ejpam-48	89	2	is	be	AUX
ejpam-48	89	3	a	a	DET
ejpam-48	89	4	detailed	detailed	ADJ
ejpam-48	89	5	description	description	NOUN
ejpam-48	89	6	of	of	ADP
ejpam-48	89	7	the	the	DET
ejpam-48	89	8	mental	mental	ADJ
ejpam-48	89	9	constructions	construction	NOUN
ejpam-48	89	10	and	and	CCONJ
ejpam-48	89	11	mental	mental	ADJ
ejpam-48	89	12	mechanisms	mechanism	NOUN
ejpam-48	89	13	that	that	PRON
ejpam-48	89	14	students	student	NOUN
ejpam-48	89	15	may	may	AUX
ejpam-48	89	16	employ	employ	VERB
ejpam-48	89	17	in	in	ADP
ejpam-48	89	18	formulating	formulate	VERB
ejpam-48	89	19	their	their	PRON
ejpam-48	89	20	e.	e.	PROPN
ejpam-48	89	21	dubinsky	dubinsky	PROPN
ejpam-48	89	22	et	et	PROPN
ejpam-48	89	23	al	al	PROPN
ejpam-48	89	24	.	.	PUNCT
ejpam-48	89	25	/	/	SYM
ejpam-48	89	26	eur	eur	PROPN
ejpam-48	89	27	.	.	PUNCT
ejpam-48	90	1	j.	j.	PROPN
ejpam-48	90	2	pure	pure	PROPN
ejpam-48	90	3	.	.	PUNCT
ejpam-48	91	1	appl	appl	PROPN
ejpam-48	91	2	.	.	PUNCT
ejpam-48	91	3	math	math	NOUN
ejpam-48	91	4	.	.	PUNCT
ejpam-48	92	1	1	1	NUM
ejpam-48	92	2	,	,	PUNCT
ejpam-48	92	3	(	(	PUNCT
ejpam-48	92	4	2008	2008	NUM
ejpam-48	92	5	)	)	PUNCT
ejpam-48	92	6	,	,	PUNCT
ejpam-48	92	7	(	(	PUNCT
ejpam-48	92	8	99	99	NUM
ejpam-48	92	9	-	-	SYM
ejpam-48	92	10	121	121	NUM
ejpam-48	92	11	)	)	PUNCT
ejpam-48	92	12	102	102	NUM
ejpam-48	92	13	understanding	understanding	NOUN
ejpam-48	92	14	.	.	PUNCT
ejpam-48	93	1	a	a	DET
ejpam-48	93	2	preliminary	preliminary	ADJ
ejpam-48	93	3	genetic	genetic	ADJ
ejpam-48	93	4	decomposition	decomposition	NOUN
ejpam-48	93	5	is	be	AUX
ejpam-48	93	6	informed	inform	VERB
ejpam-48	93	7	by	by	ADP
ejpam-48	93	8	apos	apos	PROPN
ejpam-48	93	9	theory	theory	NOUN
ejpam-48	93	10	,	,	PUNCT
ejpam-48	93	11	the	the	DET
ejpam-48	93	12	researchers	researcher	NOUN
ejpam-48	93	13	’	’	PART
ejpam-48	93	14	understandings	understanding	NOUN
ejpam-48	93	15	of	of	ADP
ejpam-48	93	16	the	the	DET
ejpam-48	93	17	concept	concept	NOUN
ejpam-48	93	18	,	,	PUNCT
ejpam-48	93	19	existing	exist	VERB
ejpam-48	93	20	research	research	NOUN
ejpam-48	93	21	on	on	ADP
ejpam-48	93	22	its	its	PRON
ejpam-48	93	23	cognition	cognition	NOUN
ejpam-48	93	24	and	and	CCONJ
ejpam-48	93	25	its	its	PRON
ejpam-48	93	26	historical	historical	ADJ
ejpam-48	93	27	development	development	NOUN
ejpam-48	93	28	.	.	PUNCT
ejpam-48	94	1	the	the	DET
ejpam-48	94	2	preliminary	preliminary	ADJ
ejpam-48	94	3	genetic	genetic	ADJ
ejpam-48	94	4	decomposition	decomposition	NOUN
ejpam-48	94	5	is	be	AUX
ejpam-48	94	6	tested	test	VERB
ejpam-48	94	7	empirically	empirically	ADV
ejpam-48	94	8	by	by	ADP
ejpam-48	94	9	having	have	VERB
ejpam-48	94	10	students	student	NOUN
ejpam-48	94	11	complete	complete	VERB
ejpam-48	94	12	an	an	DET
ejpam-48	94	13	instructional	instructional	ADJ
ejpam-48	94	14	treatment	treatment	NOUN
ejpam-48	94	15	that	that	PRON
ejpam-48	94	16	reflects	reflect	VERB
ejpam-48	94	17	the	the	DET
ejpam-48	94	18	preliminary	preliminary	ADJ
ejpam-48	94	19	genetic	genetic	ADJ
ejpam-48	94	20	decomposition	decomposition	NOUN
ejpam-48	94	21	or	or	CCONJ
ejpam-48	94	22	by	by	ADP
ejpam-48	94	23	placing	place	VERB
ejpam-48	94	24	students	student	NOUN
ejpam-48	94	25	in	in	ADP
ejpam-48	94	26	problem	problem	NOUN
ejpam-48	94	27	solving	solving	NOUN
ejpam-48	94	28	situations	situation	NOUN
ejpam-48	94	29	where	where	SCONJ
ejpam-48	94	30	their	their	PRON
ejpam-48	94	31	thinking	thinking	NOUN
ejpam-48	94	32	can	can	AUX
ejpam-48	94	33	be	be	AUX
ejpam-48	94	34	studied	study	VERB
ejpam-48	94	35	.	.	PUNCT
ejpam-48	95	1	in	in	ADP
ejpam-48	95	2	either	either	DET
ejpam-48	95	3	case	case	NOUN
ejpam-48	95	4	,	,	PUNCT
ejpam-48	95	5	observations	observation	NOUN
ejpam-48	95	6	of	of	ADP
ejpam-48	95	7	student	student	NOUN
ejpam-48	95	8	thinking	thinking	NOUN
ejpam-48	95	9	provide	provide	VERB
ejpam-48	95	10	researchers	researcher	NOUN
ejpam-48	95	11	an	an	DET
ejpam-48	95	12	opportunity	opportunity	NOUN
ejpam-48	95	13	to	to	PART
ejpam-48	95	14	gather	gather	VERB
ejpam-48	95	15	data	datum	NOUN
ejpam-48	95	16	.	.	PUNCT
ejpam-48	96	1	analysis	analysis	NOUN
ejpam-48	96	2	of	of	ADP
ejpam-48	96	3	the	the	DET
ejpam-48	96	4	data	datum	NOUN
ejpam-48	96	5	provides	provide	VERB
ejpam-48	96	6	an	an	DET
ejpam-48	96	7	opportunity	opportunity	NOUN
ejpam-48	96	8	to	to	PART
ejpam-48	96	9	see	see	VERB
ejpam-48	96	10	whether	whether	SCONJ
ejpam-48	96	11	the	the	DET
ejpam-48	96	12	preliminary	preliminary	ADJ
ejpam-48	96	13	genetic	genetic	ADJ
ejpam-48	96	14	decomposition	decomposition	NOUN
ejpam-48	96	15	adequately	adequately	ADV
ejpam-48	96	16	describes	describe	VERB
ejpam-48	96	17	the	the	DET
ejpam-48	96	18	students	student	NOUN
ejpam-48	96	19	’	'	PUNCT
ejpam-48	96	20	thinking	thinking	NOUN
ejpam-48	96	21	or	or	CCONJ
ejpam-48	96	22	whether	whether	SCONJ
ejpam-48	96	23	revision	revision	NOUN
ejpam-48	96	24	is	be	AUX
ejpam-48	96	25	needed	need	VERB
ejpam-48	96	26	.	.	PUNCT
ejpam-48	97	1	once	once	ADV
ejpam-48	97	2	revised	revise	VERB
ejpam-48	97	3	,	,	PUNCT
ejpam-48	97	4	an	an	DET
ejpam-48	97	5	empirically	empirically	ADV
ejpam-48	97	6	-	-	PUNCT
ejpam-48	97	7	based	base	VERB
ejpam-48	97	8	genetic	genetic	ADJ
ejpam-48	97	9	decomposition	decomposition	NOUN
ejpam-48	97	10	is	be	AUX
ejpam-48	97	11	obtained	obtain	VERB
ejpam-48	97	12	.	.	PUNCT
ejpam-48	98	1	the	the	DET
ejpam-48	98	2	revised	revise	VERB
ejpam-48	98	3	description	description	NOUN
ejpam-48	98	4	leads	lead	VERB
ejpam-48	98	5	to	to	ADP
ejpam-48	98	6	the	the	DET
ejpam-48	98	7	revision	revision	NOUN
ejpam-48	98	8	of	of	ADP
ejpam-48	98	9	the	the	DET
ejpam-48	98	10	instructional	instructional	ADJ
ejpam-48	98	11	treatment	treatment	NOUN
ejpam-48	98	12	,	,	PUNCT
ejpam-48	98	13	or	or	CCONJ
ejpam-48	98	14	development	development	NOUN
ejpam-48	98	15	of	of	ADP
ejpam-48	98	16	one	one	NUM
ejpam-48	98	17	.	.	PUNCT
ejpam-48	99	1	implementation	implementation	NOUN
ejpam-48	99	2	of	of	ADP
ejpam-48	99	3	this	this	DET
ejpam-48	99	4	instruction	instruction	NOUN
ejpam-48	99	5	provides	provide	VERB
ejpam-48	99	6	further	further	ADJ
ejpam-48	99	7	opportunity	opportunity	NOUN
ejpam-48	99	8	for	for	ADP
ejpam-48	99	9	data	data	NOUN
ejpam-48	99	10	analysis	analysis	NOUN
ejpam-48	99	11	,	,	PUNCT
ejpam-48	99	12	which	which	PRON
ejpam-48	99	13	leads	lead	VERB
ejpam-48	99	14	to	to	ADP
ejpam-48	99	15	additional	additional	ADJ
ejpam-48	99	16	revisions	revision	NOUN
ejpam-48	99	17	of	of	ADP
ejpam-48	99	18	the	the	DET
ejpam-48	99	19	genetic	genetic	ADJ
ejpam-48	99	20	decomposition	decomposition	NOUN
ejpam-48	99	21	.	.	PUNCT
ejpam-48	100	1	the	the	DET
ejpam-48	100	2	cycle	cycle	NOUN
ejpam-48	100	3	is	be	AUX
ejpam-48	100	4	repeated	repeat	VERB
ejpam-48	100	5	until	until	SCONJ
ejpam-48	100	6	it	it	PRON
ejpam-48	100	7	appears	appear	VERB
ejpam-48	100	8	that	that	SCONJ
ejpam-48	100	9	a	a	DET
ejpam-48	100	10	reasonable	reasonable	ADJ
ejpam-48	100	11	understanding	understanding	NOUN
ejpam-48	100	12	has	have	AUX
ejpam-48	100	13	been	be	AUX
ejpam-48	100	14	developed	develop	VERB
ejpam-48	100	15	and	and	CCONJ
ejpam-48	100	16	an	an	DET
ejpam-48	100	17	effective	effective	ADJ
ejpam-48	100	18	pedagogical	pedagogical	ADJ
ejpam-48	100	19	approach	approach	NOUN
ejpam-48	100	20	,	,	PUNCT
ejpam-48	100	21	which	which	PRON
ejpam-48	100	22	may	may	AUX
ejpam-48	100	23	now	now	ADV
ejpam-48	100	24	be	be	AUX
ejpam-48	100	25	considered	consider	VERB
ejpam-48	100	26	to	to	PART
ejpam-48	100	27	be	be	AUX
ejpam-48	100	28	research	research	NOUN
ejpam-48	100	29	-	-	PUNCT
ejpam-48	100	30	based	base	VERB
ejpam-48	100	31	,	,	PUNCT
ejpam-48	100	32	has	have	AUX
ejpam-48	100	33	emerged	emerge	VERB
ejpam-48	100	34	.	.	PUNCT
ejpam-48	101	1	explanations	explanation	NOUN
ejpam-48	101	2	based	base	VERB
ejpam-48	101	3	on	on	ADP
ejpam-48	101	4	apos	apos	PROPN
ejpam-48	101	5	theory	theory	NOUN
ejpam-48	101	6	describe	describe	VERB
ejpam-48	101	7	only	only	ADV
ejpam-48	101	8	the	the	DET
ejpam-48	101	9	types	type	NOUN
ejpam-48	101	10	of	of	ADP
ejpam-48	101	11	thinking	thinking	NOUN
ejpam-48	101	12	of	of	ADP
ejpam-48	101	13	which	which	PRON
ejpam-48	101	14	individuals	individual	NOUN
ejpam-48	101	15	might	might	AUX
ejpam-48	101	16	be	be	AUX
ejpam-48	101	17	capable	capable	ADJ
ejpam-48	101	18	in	in	ADP
ejpam-48	101	19	dealing	deal	VERB
ejpam-48	101	20	with	with	ADP
ejpam-48	101	21	a	a	DET
ejpam-48	101	22	problem	problem	NOUN
ejpam-48	101	23	situation	situation	NOUN
ejpam-48	101	24	.	.	PUNCT
ejpam-48	102	1	the	the	DET
ejpam-48	102	2	structures	structure	NOUN
ejpam-48	102	3	we	we	PRON
ejpam-48	102	4	describe	describe	VERB
ejpam-48	102	5	and	and	CCONJ
ejpam-48	102	6	the	the	DET
ejpam-48	102	7	way	way	NOUN
ejpam-48	102	8	in	in	ADP
ejpam-48	102	9	which	which	PRON
ejpam-48	102	10	these	these	DET
ejpam-48	102	11	structures	structure	NOUN
ejpam-48	102	12	may	may	AUX
ejpam-48	102	13	be	be	AUX
ejpam-48	102	14	constructed	construct	VERB
ejpam-48	102	15	do	do	AUX
ejpam-48	102	16	not	not	PART
ejpam-48	102	17	necessarily	necessarily	ADV
ejpam-48	102	18	describe	describe	VERB
ejpam-48	102	19	what	what	PRON
ejpam-48	102	20	“	"	PUNCT
ejpam-48	102	21	really	really	ADV
ejpam-48	102	22	”	"	PUNCT
ejpam-48	102	23	occurs	occur	VERB
ejpam-48	102	24	in	in	ADP
ejpam-48	102	25	an	an	DET
ejpam-48	102	26	individual	individual	NOUN
ejpam-48	102	27	’s	’s	PART
ejpam-48	102	28	mind	mind	NOUN
ejpam-48	102	29	,	,	PUNCT
ejpam-48	102	30	but	but	CCONJ
ejpam-48	102	31	provide	provide	VERB
ejpam-48	102	32	a	a	DET
ejpam-48	102	33	model	model	NOUN
ejpam-48	102	34	for	for	ADP
ejpam-48	102	35	understanding	understand	VERB
ejpam-48	102	36	her	she	PRON
ejpam-48	102	37	or	or	CCONJ
ejpam-48	102	38	his	his	PRON
ejpam-48	102	39	thinking	thinking	NOUN
ejpam-48	102	40	.	.	PUNCT
ejpam-48	103	1	although	although	SCONJ
ejpam-48	103	2	an	an	DET
ejpam-48	103	3	individual	individual	NOUN
ejpam-48	103	4	may	may	AUX
ejpam-48	103	5	give	give	VERB
ejpam-48	103	6	evidence	evidence	NOUN
ejpam-48	103	7	of	of	ADP
ejpam-48	103	8	making	make	VERB
ejpam-48	103	9	certain	certain	ADJ
ejpam-48	103	10	mental	mental	ADJ
ejpam-48	103	11	constructions	construction	NOUN
ejpam-48	103	12	,	,	PUNCT
ejpam-48	103	13	it	it	PRON
ejpam-48	103	14	is	be	AUX
ejpam-48	103	15	not	not	PART
ejpam-48	103	16	always	always	ADV
ejpam-48	103	17	the	the	DET
ejpam-48	103	18	case	case	NOUN
ejpam-48	103	19	that	that	SCONJ
ejpam-48	103	20	the	the	DET
ejpam-48	103	21	knowledge	knowledge	NOUN
ejpam-48	103	22	constructed	construct	VERB
ejpam-48	103	23	will	will	AUX
ejpam-48	103	24	be	be	AUX
ejpam-48	103	25	applied	apply	VERB
ejpam-48	103	26	to	to	ADP
ejpam-48	103	27	a	a	DET
ejpam-48	103	28	given	give	VERB
ejpam-48	103	29	situation	situation	NOUN
ejpam-48	103	30	.	.	PUNCT
ejpam-48	104	1	other	other	ADJ
ejpam-48	104	2	individual	individual	ADJ
ejpam-48	104	3	factors	factor	NOUN
ejpam-48	104	4	,	,	PUNCT
ejpam-48	104	5	possibly	possibly	ADV
ejpam-48	104	6	environmental	environmental	ADJ
ejpam-48	104	7	or	or	CCONJ
ejpam-48	104	8	social	social	ADJ
ejpam-48	104	9	,	,	PUNCT
ejpam-48	104	10	may	may	AUX
ejpam-48	104	11	affect	affect	VERB
ejpam-48	104	12	one	one	NUM
ejpam-48	104	13	’s	’s	PART
ejpam-48	104	14	thinking	thinking	NOUN
ejpam-48	104	15	in	in	ADP
ejpam-48	104	16	ways	way	NOUN
ejpam-48	104	17	not	not	PART
ejpam-48	104	18	accounted	account	VERB
ejpam-48	104	19	for	for	ADP
ejpam-48	104	20	by	by	ADP
ejpam-48	104	21	the	the	DET
ejpam-48	104	22	theory	theory	NOUN
ejpam-48	104	23	.	.	PUNCT
ejpam-48	105	1	in	in	ADP
ejpam-48	105	2	this	this	DET
ejpam-48	105	3	sense	sense	NOUN
ejpam-48	105	4	,	,	PUNCT
ejpam-48	105	5	apos	apos	PROPN
ejpam-48	105	6	theory	theory	NOUN
ejpam-48	105	7	only	only	ADV
ejpam-48	105	8	tells	tell	VERB
ejpam-48	105	9	part	part	NOUN
ejpam-48	105	10	of	of	ADP
ejpam-48	105	11	the	the	DET
ejpam-48	105	12	story	story	NOUN
ejpam-48	105	13	,	,	PUNCT
ejpam-48	105	14	although	although	SCONJ
ejpam-48	105	15	a	a	DET
ejpam-48	105	16	part	part	NOUN
ejpam-48	105	17	that	that	PRON
ejpam-48	105	18	has	have	AUX
ejpam-48	105	19	proven	prove	VERB
ejpam-48	105	20	useful	useful	ADJ
ejpam-48	105	21	in	in	ADP
ejpam-48	105	22	other	other	ADJ
ejpam-48	105	23	studies	study	NOUN
ejpam-48	105	24	and	and	CCONJ
ejpam-48	105	25	shown	show	VERB
ejpam-48	105	26	to	to	PART
ejpam-48	105	27	lead	lead	VERB
ejpam-48	105	28	to	to	ADP
ejpam-48	105	29	the	the	DET
ejpam-48	105	30	design	design	NOUN
ejpam-48	105	31	of	of	ADP
ejpam-48	105	32	effective	effective	ADJ
ejpam-48	105	33	pedagogical	pedagogical	ADJ
ejpam-48	105	34	strategies	strategy	NOUN
ejpam-48	105	35	(	(	PUNCT
ejpam-48	105	36	see	see	VERB
ejpam-48	105	37	[	[	X
ejpam-48	105	38	10	10	NUM
ejpam-48	105	39	]	]	NUM
ejpam-48	105	40	)	)	PUNCT
ejpam-48	105	41	.	.	PUNCT
ejpam-48	106	1	for	for	ADP
ejpam-48	106	2	a	a	DET
ejpam-48	106	3	more	more	ADV
ejpam-48	106	4	detailed	detailed	ADJ
ejpam-48	106	5	description	description	NOUN
ejpam-48	106	6	of	of	ADP
ejpam-48	106	7	the	the	DET
ejpam-48	106	8	theory	theory	NOUN
ejpam-48	106	9	and	and	CCONJ
ejpam-48	106	10	its	its	PRON
ejpam-48	106	11	use	use	NOUN
ejpam-48	106	12	as	as	ADP
ejpam-48	106	13	a	a	DET
ejpam-48	106	14	theoretical	theoretical	ADJ
ejpam-48	106	15	tool	tool	NOUN
ejpam-48	106	16	in	in	ADP
ejpam-48	106	17	the	the	DET
ejpam-48	106	18	analysis	analysis	NOUN
ejpam-48	106	19	of	of	ADP
ejpam-48	106	20	topics	topic	NOUN
ejpam-48	106	21	in	in	ADP
ejpam-48	106	22	the	the	DET
ejpam-48	106	23	undergraduate	undergraduate	NOUN
ejpam-48	106	24	curriculum	curriculum	NOUN
ejpam-48	106	25	,	,	PUNCT
ejpam-48	106	26	see	see	VERB
ejpam-48	106	27	[	[	X
ejpam-48	106	28	6	6	NUM
ejpam-48	106	29	]	]	PUNCT
ejpam-48	106	30	and	and	CCONJ
ejpam-48	106	31	[	[	X
ejpam-48	106	32	11	11	NUM
ejpam-48	106	33	]	]	PUNCT
ejpam-48	106	34	.	.	PUNCT
ejpam-48	107	1	an	an	DET
ejpam-48	107	2	apos	apos	NOUN
ejpam-48	107	3	analysis	analysis	NOUN
ejpam-48	107	4	of	of	ADP
ejpam-48	107	5	a	a	DET
ejpam-48	107	6	single	single	ADJ
ejpam-48	107	7	infinite	infinite	ADJ
ejpam-48	107	8	iterative	iterative	NOUN
ejpam-48	107	9	processes	process	NOUN
ejpam-48	107	10	in	in	ADP
ejpam-48	107	11	their	their	PRON
ejpam-48	107	12	analysis	analysis	NOUN
ejpam-48	107	13	of	of	ADP
ejpam-48	107	14	student	student	NOUN
ejpam-48	107	15	’s	’s	PART
ejpam-48	107	16	thinking	think	VERB
ejpam-48	107	17	about	about	ADP
ejpam-48	107	18	the	the	DET
ejpam-48	107	19	problem	problem	NOUN
ejpam-48	107	20	(	(	PUNCT
ejpam-48	107	21	*	*	NOUN
ejpam-48	107	22	)	)	PUNCT
ejpam-48	107	23	,	,	PUNCT
ejpam-48	107	24	brown	brown	PROPN
ejpam-48	107	25	et	et	PROPN
ejpam-48	107	26	al	al	PROPN
ejpam-48	107	27	.	.	PUNCT
ejpam-48	108	1	[	[	X
ejpam-48	108	2	4	4	X
ejpam-48	108	3	]	]	PUNCT
ejpam-48	108	4	found	find	VERB
ejpam-48	108	5	that	that	SCONJ
ejpam-48	108	6	their	their	PRON
ejpam-48	108	7	subjects	subject	NOUN
ejpam-48	108	8	tried	try	VERB
ejpam-48	108	9	to	to	PART
ejpam-48	108	10	make	make	VERB
ejpam-48	108	11	sense	sense	NOUN
ejpam-48	108	12	of	of	ADP
ejpam-48	108	13	the	the	DET
ejpam-48	108	14	infinite	infinite	ADJ
ejpam-48	108	15	union	union	NOUN
ejpam-48	108	16	of	of	ADP
ejpam-48	108	17	power	power	NOUN
ejpam-48	108	18	sets	set	NOUN
ejpam-48	108	19	by	by	ADP
ejpam-48	108	20	constructing	construct	VERB
ejpam-48	108	21	,	,	PUNCT
ejpam-48	108	22	or	or	CCONJ
ejpam-48	108	23	attempting	attempt	VERB
ejpam-48	108	24	to	to	PART
ejpam-48	108	25	construct	construct	VERB
ejpam-48	108	26	,	,	PUNCT
ejpam-48	108	27	infinite	infinite	ADJ
ejpam-48	108	28	iterative	iterative	NOUN
ejpam-48	108	29	processes	process	NOUN
ejpam-48	108	30	and	and	CCONJ
ejpam-48	108	31	their	their	PRON
ejpam-48	108	32	states	state	NOUN
ejpam-48	108	33	at	at	ADP
ejpam-48	108	34	infinity	infinity	NOUN
ejpam-48	108	35	.	.	PUNCT
ejpam-48	109	1	the	the	DET
ejpam-48	109	2	authors	author	NOUN
ejpam-48	109	3	used	use	VERB
ejpam-48	109	4	apos	apos	PROPN
ejpam-48	109	5	theory	theory	NOUN
ejpam-48	109	6	to	to	PART
ejpam-48	109	7	develop	develop	VERB
ejpam-48	109	8	an	an	DET
ejpam-48	109	9	empirically	empirically	ADV
ejpam-48	109	10	-	-	PUNCT
ejpam-48	109	11	based	base	VERB
ejpam-48	109	12	theoretical	theoretical	ADJ
ejpam-48	109	13	description	description	NOUN
ejpam-48	109	14	of	of	ADP
ejpam-48	109	15	the	the	DET
ejpam-48	109	16	mental	mental	ADJ
ejpam-48	109	17	construction	construction	NOUN
ejpam-48	109	18	of	of	ADP
ejpam-48	109	19	such	such	ADJ
ejpam-48	109	20	processes	process	NOUN
ejpam-48	109	21	.	.	PUNCT
ejpam-48	110	1	in	in	ADP
ejpam-48	110	2	their	their	PRON
ejpam-48	110	3	description	description	NOUN
ejpam-48	110	4	,	,	PUNCT
ejpam-48	110	5	the	the	DET
ejpam-48	110	6	authors	author	NOUN
ejpam-48	110	7	argued	argue	VERB
ejpam-48	110	8	that	that	SCONJ
ejpam-48	110	9	an	an	DET
ejpam-48	110	10	infinite	infinite	ADJ
ejpam-48	110	11	iterative	iterative	NOUN
ejpam-48	110	12	process	process	NOUN
ejpam-48	110	13	is	be	AUX
ejpam-48	110	14	a	a	DET
ejpam-48	110	15	coordination	coordination	NOUN
ejpam-48	110	16	of	of	ADP
ejpam-48	110	17	a	a	DET
ejpam-48	110	18	process	process	NOUN
ejpam-48	110	19	of	of	ADP
ejpam-48	110	20	iterating	iterate	VERB
ejpam-48	110	21	throughnwith	throughnwith	ADP
ejpam-48	110	22	a	a	DET
ejpam-48	110	23	transformation	transformation	NOUN
ejpam-48	110	24	that	that	PRON
ejpam-48	110	25	can	can	AUX
ejpam-48	110	26	be	be	AUX
ejpam-48	110	27	applied	apply	VERB
ejpam-48	110	28	repeatedly	repeatedly	ADV
ejpam-48	110	29	.	.	PUNCT
ejpam-48	111	1	this	this	PRON
ejpam-48	111	2	typically	typically	ADV
ejpam-48	111	3	begins	begin	VERB
ejpam-48	111	4	with	with	ADP
ejpam-48	111	5	the	the	DET
ejpam-48	111	6	construction	construction	NOUN
ejpam-48	111	7	of	of	ADP
ejpam-48	111	8	actions	action	NOUN
ejpam-48	111	9	;	;	PUNCT
ejpam-48	111	10	the	the	DET
ejpam-48	111	11	individual	individual	NOUN
ejpam-48	111	12	explicitly	explicitly	ADV
ejpam-48	111	13	steps	step	VERB
ejpam-48	111	14	through	through	ADP
ejpam-48	111	15	a	a	DET
ejpam-48	111	16	finite	finite	ADJ
ejpam-48	111	17	segment	segment	NOUN
ejpam-48	111	18	ofn	ofn	NOUN
ejpam-48	111	19	,	,	PUNCT
ejpam-48	111	20	typically	typically	ADV
ejpam-48	111	21	writing	write	VERB
ejpam-48	111	22	or	or	CCONJ
ejpam-48	111	23	speaking	speak	VERB
ejpam-48	111	24	the	the	DET
ejpam-48	111	25	values	value	NOUN
ejpam-48	111	26	assumed	assume	VERB
ejpam-48	111	27	in	in	ADP
ejpam-48	111	28	sequence	sequence	NOUN
ejpam-48	111	29	.	.	PUNCT
ejpam-48	112	1	the	the	DET
ejpam-48	112	2	individual	individual	NOUN
ejpam-48	112	3	may	may	AUX
ejpam-48	112	4	repeatedly	repeatedly	ADV
ejpam-48	112	5	add	add	VERB
ejpam-48	112	6	1	1	NUM
ejpam-48	112	7	,	,	PUNCT
ejpam-48	112	8	or	or	CCONJ
ejpam-48	112	9	use	use	VERB
ejpam-48	112	10	other	other	ADJ
ejpam-48	112	11	terminology	terminology	NOUN
ejpam-48	112	12	that	that	PRON
ejpam-48	112	13	suggests	suggest	VERB
ejpam-48	112	14	passing	pass	VERB
ejpam-48	112	15	from	from	ADP
ejpam-48	112	16	a	a	DET
ejpam-48	112	17	natural	natural	ADJ
ejpam-48	112	18	number	number	NOUN
ejpam-48	112	19	to	to	ADP
ejpam-48	112	20	its	its	PRON
ejpam-48	112	21	successor	successor	NOUN
ejpam-48	112	22	.	.	PUNCT
ejpam-48	113	1	the	the	DET
ejpam-48	113	2	action	action	NOUN
ejpam-48	113	3	of	of	ADP
ejpam-48	113	4	finite	finite	ADJ
ejpam-48	113	5	iteration	iteration	NOUN
ejpam-48	113	6	through	through	ADP
ejpam-48	113	7	a	a	DET
ejpam-48	113	8	small	small	ADJ
ejpam-48	113	9	segment	segment	NOUN
ejpam-48	113	10	ofnis	ofni	NOUN
ejpam-48	113	11	interiorized	interiorize	VERB
ejpam-48	113	12	to	to	ADP
ejpam-48	113	13	a	a	DET
ejpam-48	113	14	mental	mental	ADJ
ejpam-48	113	15	process	process	NOUN
ejpam-48	113	16	of	of	ADP
ejpam-48	113	17	iterating	iterate	VERB
ejpam-48	113	18	through	through	ADP
ejpam-48	113	19	any	any	DET
ejpam-48	113	20	finite	finite	ADJ
ejpam-48	113	21	segment	segment	NOUN
ejpam-48	113	22	ofn	ofn	PROPN
ejpam-48	113	23	.	.	PUNCT
ejpam-48	114	1	multiple	multiple	ADJ
ejpam-48	114	2	instantiations	instantiation	NOUN
ejpam-48	114	3	of	of	ADP
ejpam-48	114	4	iterating	iterate	VERB
ejpam-48	114	5	through	through	ADP
ejpam-48	114	6	finite	finite	NOUN
ejpam-48	114	7	,	,	PUNCT
ejpam-48	114	8	but	but	CCONJ
ejpam-48	114	9	not	not	PART
ejpam-48	114	10	necessarily	necessarily	ADV
ejpam-48	114	11	initial	initial	ADJ
ejpam-48	114	12	,	,	PUNCT
ejpam-48	114	13	segments	segment	NOUN
ejpam-48	114	14	ofnare	ofnare	AUX
ejpam-48	114	15	coordinated	coordinate	VERB
ejpam-48	114	16	to	to	PART
ejpam-48	114	17	construct	construct	VERB
ejpam-48	114	18	an	an	DET
ejpam-48	114	19	infinite	infinite	ADJ
ejpam-48	114	20	process	process	NOUN
ejpam-48	114	21	of	of	ADP
ejpam-48	114	22	iteration	iteration	NOUN
ejpam-48	114	23	throughn	throughn	NOUN
ejpam-48	114	24	.	.	PUNCT
ejpam-48	115	1	when	when	SCONJ
ejpam-48	115	2	an	an	DET
ejpam-48	115	3	individual	individual	NOUN
ejpam-48	115	4	understands	understand	VERB
ejpam-48	115	5	that	that	SCONJ
ejpam-48	115	6	each	each	DET
ejpam-48	115	7	natural	natural	ADJ
ejpam-48	115	8	number	number	NOUN
ejpam-48	115	9	has	have	AUX
ejpam-48	115	10	been	be	AUX
ejpam-48	115	11	reached	reach	VERB
ejpam-48	115	12	,	,	PUNCT
ejpam-48	115	13	and	and	CCONJ
ejpam-48	115	14	acknowledges	acknowledge	VERB
ejpam-48	115	15	that	that	SCONJ
ejpam-48	115	16	only	only	ADJ
ejpam-48	115	17	natural	natural	ADJ
ejpam-48	115	18	numbers	number	NOUN
ejpam-48	115	19	have	have	AUX
ejpam-48	115	20	been	be	AUX
ejpam-48	115	21	reached	reach	VERB
ejpam-48	115	22	,	,	PUNCT
ejpam-48	115	23	completeness	completeness	NOUN
ejpam-48	115	24	is	be	AUX
ejpam-48	115	25	indicated	indicate	VERB
ejpam-48	115	26	.	.	PUNCT
ejpam-48	116	1	once	once	ADV
ejpam-48	116	2	viewed	view	VERB
ejpam-48	116	3	as	as	ADP
ejpam-48	116	4	a	a	DET
ejpam-48	116	5	totality	totality	NOUN
ejpam-48	116	6	,	,	PUNCT
ejpam-48	116	7	the	the	DET
ejpam-48	116	8	infinite	infinite	ADJ
ejpam-48	116	9	iterative	iterative	NOUN
ejpam-48	116	10	process	process	NOUN
ejpam-48	116	11	might	might	AUX
ejpam-48	116	12	be	be	AUX
ejpam-48	116	13	encapsulated	encapsulate	VERB
ejpam-48	116	14	in	in	ADP
ejpam-48	116	15	an	an	DET
ejpam-48	116	16	attempt	attempt	NOUN
ejpam-48	116	17	to	to	PART
ejpam-48	116	18	apply	apply	VERB
ejpam-48	116	19	an	an	DET
ejpam-48	116	20	action	action	NOUN
ejpam-48	116	21	of	of	ADP
ejpam-48	116	22	evaluation	evaluation	NOUN
ejpam-48	116	23	to	to	PART
ejpam-48	116	24	determine	determine	VERB
ejpam-48	116	25	what	what	PRON
ejpam-48	116	26	is	be	AUX
ejpam-48	116	27	“	"	PUNCT
ejpam-48	116	28	next	next	PROPN
ejpam-48	116	29	”	"	PUNCT
ejpam-48	116	30	;	;	PUNCT
ejpam-48	116	31	the	the	DET
ejpam-48	116	32	resulting	result	VERB
ejpam-48	116	33	object	object	NOUN
ejpam-48	116	34	is	be	AUX
ejpam-48	116	35	conventionally	conventionally	ADV
ejpam-48	116	36	labeled	label	VERB
ejpam-48	116	37	∞.	∞.	PROPN
ejpam-48	116	38	this	this	DET
ejpam-48	116	39	object	object	NOUN
ejpam-48	116	40	may	may	AUX
ejpam-48	116	41	be	be	AUX
ejpam-48	116	42	viewed	view	VERB
ejpam-48	116	43	as	as	ADP
ejpam-48	116	44	a	a	DET
ejpam-48	116	45	value	value	NOUN
ejpam-48	116	46	of	of	ADP
ejpam-48	116	47	an	an	DET
ejpam-48	116	48	iterating	iterate	VERB
ejpam-48	116	49	variable	variable	NOUN
ejpam-48	116	50	that	that	PRON
ejpam-48	116	51	is	be	AUX
ejpam-48	116	52	beyond	beyond	ADP
ejpam-48	116	53	all	all	DET
ejpam-48	116	54	natural	natural	ADJ
ejpam-48	116	55	numbers	number	NOUN
ejpam-48	116	56	,	,	PUNCT
ejpam-48	116	57	but	but	CCONJ
ejpam-48	116	58	it	it	PRON
ejpam-48	116	59	must	must	AUX
ejpam-48	116	60	be	be	AUX
ejpam-48	116	61	understood	understand	VERB
ejpam-48	116	62	that	that	SCONJ
ejpam-48	116	63	this	this	DET
ejpam-48	116	64	object	object	NOUN
ejpam-48	116	65	is	be	AUX
ejpam-48	116	66	not	not	PART
ejpam-48	116	67	obtained	obtain	VERB
ejpam-48	116	68	in	in	ADP
ejpam-48	116	69	the	the	DET
ejpam-48	116	70	process	process	NOUN
ejpam-48	116	71	of	of	ADP
ejpam-48	116	72	iterating	iterate	VERB
ejpam-48	116	73	throughn	throughn	NOUN
ejpam-48	116	74	,	,	PUNCT
ejpam-48	116	75	but	but	CCONJ
ejpam-48	116	76	through	through	ADP
ejpam-48	116	77	encapsulation	encapsulation	NOUN
ejpam-48	116	78	of	of	ADP
ejpam-48	116	79	that	that	DET
ejpam-48	116	80	process	process	NOUN
ejpam-48	116	81	.	.	PUNCT
ejpam-48	117	1	iteration	iteration	NOUN
ejpam-48	117	2	throughnis	throughnis	PROPN
ejpam-48	117	3	then	then	ADV
ejpam-48	117	4	coordinated	coordinate	VERB
ejpam-48	117	5	with	with	ADP
ejpam-48	117	6	a	a	DET
ejpam-48	117	7	transformation	transformation	NOUN
ejpam-48	117	8	applied	apply	VERB
ejpam-48	117	9	repeatedly	repeatedly	ADV
ejpam-48	117	10	.	.	PUNCT
ejpam-48	118	1	this	this	PRON
ejpam-48	118	2	can	can	AUX
ejpam-48	118	3	be	be	AUX
ejpam-48	118	4	thought	think	VERB
ejpam-48	118	5	of	of	ADP
ejpam-48	118	6	as	as	ADP
ejpam-48	118	7	a	a	DET
ejpam-48	118	8	function	function	NOUN
ejpam-48	118	9	that	that	PRON
ejpam-48	118	10	accepts	accept	VERB
ejpam-48	118	11	a	a	DET
ejpam-48	118	12	natural	natural	ADJ
ejpam-48	118	13	number	number	NOUN
ejpam-48	118	14	as	as	ADP
ejpam-48	118	15	input	input	NOUN
ejpam-48	118	16	and	and	CCONJ
ejpam-48	118	17	returns	return	VERB
ejpam-48	118	18	the	the	DET
ejpam-48	118	19	object	object	NOUN
ejpam-48	118	20	assigned	assign	VERB
ejpam-48	118	21	e.	e.	PROPN
ejpam-48	118	22	dubinsky	dubinsky	PROPN
ejpam-48	118	23	et	et	PROPN
ejpam-48	118	24	al	al	PROPN
ejpam-48	118	25	.	.	PUNCT
ejpam-48	118	26	/	/	SYM
ejpam-48	118	27	eur	eur	PROPN
ejpam-48	118	28	.	.	PUNCT
ejpam-48	119	1	j.	j.	PROPN
ejpam-48	119	2	pure	pure	PROPN
ejpam-48	119	3	.	.	PUNCT
ejpam-48	120	1	appl	appl	PROPN
ejpam-48	120	2	.	.	PUNCT
ejpam-48	120	3	math	math	NOUN
ejpam-48	120	4	.	.	PUNCT
ejpam-48	121	1	1	1	NUM
ejpam-48	121	2	,	,	PUNCT
ejpam-48	121	3	(	(	PUNCT
ejpam-48	121	4	2008	2008	NUM
ejpam-48	121	5	)	)	PUNCT
ejpam-48	121	6	,	,	PUNCT
ejpam-48	121	7	(	(	PUNCT
ejpam-48	121	8	99	99	NUM
ejpam-48	121	9	-	-	SYM
ejpam-48	121	10	121	121	NUM
ejpam-48	121	11	)	)	PUNCT
ejpam-48	121	12	103	103	NUM
ejpam-48	121	13	to	to	ADP
ejpam-48	121	14	that	that	DET
ejpam-48	121	15	natural	natural	ADJ
ejpam-48	121	16	number	number	NOUN
ejpam-48	121	17	as	as	ADP
ejpam-48	121	18	output	output	NOUN
ejpam-48	121	19	.	.	PUNCT
ejpam-48	122	1	explicitly	explicitly	ADV
ejpam-48	122	2	performing	perform	VERB
ejpam-48	122	3	a	a	DET
ejpam-48	122	4	small	small	ADJ
ejpam-48	122	5	number	number	NOUN
ejpam-48	122	6	of	of	ADP
ejpam-48	122	7	such	such	ADJ
ejpam-48	122	8	assignments	assignment	NOUN
ejpam-48	122	9	is	be	AUX
ejpam-48	122	10	considered	consider	VERB
ejpam-48	122	11	to	to	PART
ejpam-48	122	12	be	be	AUX
ejpam-48	122	13	an	an	DET
ejpam-48	122	14	action	action	NOUN
ejpam-48	122	15	.	.	PUNCT
ejpam-48	123	1	for	for	ADP
ejpam-48	123	2	example	example	NOUN
ejpam-48	123	3	,	,	PUNCT
ejpam-48	123	4	an	an	DET
ejpam-48	123	5	individual	individual	NOUN
ejpam-48	123	6	might	might	AUX
ejpam-48	123	7	perceive	perceive	VERB
ejpam-48	123	8	the	the	DET
ejpam-48	123	9	presence	presence	NOUN
ejpam-48	123	10	of	of	ADP
ejpam-48	123	11	an	an	DET
ejpam-48	123	12	indexing	indexing	NOUN
ejpam-48	123	13	variable	variable	NOUN
ejpam-48	123	14	in	in	ADP
ejpam-48	123	15	given	give	VERB
ejpam-48	123	16	mathematical	mathematical	ADJ
ejpam-48	123	17	notation	notation	NOUN
ejpam-48	123	18	as	as	ADP
ejpam-48	123	19	a	a	DET
ejpam-48	123	20	cue	cue	NOUN
ejpam-48	123	21	to	to	PART
ejpam-48	123	22	start	start	VERB
ejpam-48	123	23	with	with	ADP
ejpam-48	123	24	1	1	NUM
ejpam-48	123	25	=	=	SYM
ejpam-48	123	26	k	k	X
ejpam-48	123	27	,	,	PUNCT
ejpam-48	123	28	obtain	obtain	VERB
ejpam-48	123	29	the	the	DET
ejpam-48	123	30	first	first	ADJ
ejpam-48	123	31	object	object	NOUN
ejpam-48	123	32	using	use	VERB
ejpam-48	123	33	the	the	DET
ejpam-48	123	34	transformation	transformation	NOUN
ejpam-48	123	35	,	,	PUNCT
ejpam-48	123	36	add	add	VERB
ejpam-48	123	37	1	1	NUM
ejpam-48	123	38	to	to	PART
ejpam-48	123	39	get	get	VERB
ejpam-48	123	40	2	2	NUM
ejpam-48	123	41	=	=	SYM
ejpam-48	123	42	k	k	X
ejpam-48	123	43	,	,	PUNCT
ejpam-48	123	44	obtain	obtain	VERB
ejpam-48	123	45	the	the	DET
ejpam-48	123	46	second	second	ADJ
ejpam-48	123	47	object	object	NOUN
ejpam-48	123	48	,	,	PUNCT
ejpam-48	123	49	and	and	CCONJ
ejpam-48	123	50	so	so	ADV
ejpam-48	123	51	forth	forth	ADV
ejpam-48	123	52	.	.	PUNCT
ejpam-48	124	1	the	the	DET
ejpam-48	124	2	action	action	NOUN
ejpam-48	124	3	of	of	ADP
ejpam-48	124	4	finite	finite	ADJ
ejpam-48	124	5	iteration	iteration	NOUN
ejpam-48	124	6	is	be	AUX
ejpam-48	124	7	interiorized	interiorize	VERB
ejpam-48	124	8	to	to	ADP
ejpam-48	124	9	a	a	DET
ejpam-48	124	10	mental	mental	ADJ
ejpam-48	124	11	process	process	NOUN
ejpam-48	124	12	of	of	ADP
ejpam-48	124	13	finite	finite	ADJ
ejpam-48	124	14	iteration	iteration	NOUN
ejpam-48	124	15	by	by	ADP
ejpam-48	124	16	coordinating	coordinate	VERB
ejpam-48	124	17	a	a	DET
ejpam-48	124	18	process	process	NOUN
ejpam-48	124	19	of	of	ADP
ejpam-48	124	20	iterating	iterate	VERB
ejpam-48	124	21	through	through	ADP
ejpam-48	124	22	a	a	DET
ejpam-48	124	23	finite	finite	ADJ
ejpam-48	124	24	segment	segment	NOUN
ejpam-48	124	25	ofnwith	ofnwith	VERB
ejpam-48	124	26	the	the	DET
ejpam-48	124	27	transformation	transformation	NOUN
ejpam-48	124	28	.	.	PUNCT
ejpam-48	125	1	multiple	multiple	ADJ
ejpam-48	125	2	instantiations	instantiation	NOUN
ejpam-48	125	3	of	of	ADP
ejpam-48	125	4	this	this	DET
ejpam-48	125	5	finite	finite	ADJ
ejpam-48	125	6	mental	mental	ADJ
ejpam-48	125	7	process	process	NOUN
ejpam-48	125	8	are	be	AUX
ejpam-48	125	9	coordinated	coordinate	VERB
ejpam-48	125	10	to	to	PART
ejpam-48	125	11	construct	construct	VERB
ejpam-48	125	12	an	an	DET
ejpam-48	125	13	infinite	infinite	ADJ
ejpam-48	125	14	iterative	iterative	NOUN
ejpam-48	125	15	process	process	NOUN
ejpam-48	125	16	.	.	PUNCT
ejpam-48	126	1	completeness	completeness	NOUN
ejpam-48	126	2	is	be	AUX
ejpam-48	126	3	evidenced	evidence	VERB
ejpam-48	126	4	when	when	SCONJ
ejpam-48	126	5	the	the	DET
ejpam-48	126	6	individual	individual	NOUN
ejpam-48	126	7	understands	understand	VERB
ejpam-48	126	8	that	that	SCONJ
ejpam-48	126	9	an	an	DET
ejpam-48	126	10	object	object	NOUN
ejpam-48	126	11	is	be	AUX
ejpam-48	126	12	obtained	obtain	VERB
ejpam-48	126	13	for	for	ADP
ejpam-48	126	14	each	each	DET
ejpam-48	126	15	natural	natural	ADJ
ejpam-48	126	16	number	number	NOUN
ejpam-48	126	17	in	in	ADP
ejpam-48	126	18	order	order	NOUN
ejpam-48	126	19	,	,	PUNCT
ejpam-48	126	20	and	and	CCONJ
ejpam-48	126	21	that	that	SCONJ
ejpam-48	126	22	objects	object	NOUN
ejpam-48	126	23	are	be	AUX
ejpam-48	126	24	obtained	obtain	VERB
ejpam-48	126	25	only	only	ADV
ejpam-48	126	26	for	for	ADP
ejpam-48	126	27	the	the	DET
ejpam-48	126	28	natural	natural	ADJ
ejpam-48	126	29	numbers	number	NOUN
ejpam-48	126	30	.	.	PUNCT
ejpam-48	127	1	the	the	DET
ejpam-48	127	2	ability	ability	NOUN
ejpam-48	127	3	to	to	PART
ejpam-48	127	4	conceive	conceive	VERB
ejpam-48	127	5	of	of	ADP
ejpam-48	127	6	a	a	DET
ejpam-48	127	7	process	process	NOUN
ejpam-48	127	8	as	as	ADP
ejpam-48	127	9	a	a	DET
ejpam-48	127	10	single	single	ADJ
ejpam-48	127	11	operation	operation	NOUN
ejpam-48	127	12	indicates	indicate	VERB
ejpam-48	127	13	that	that	SCONJ
ejpam-48	127	14	the	the	DET
ejpam-48	127	15	individual	individual	NOUN
ejpam-48	127	16	sees	see	VERB
ejpam-48	127	17	the	the	DET
ejpam-48	127	18	process	process	NOUN
ejpam-48	127	19	as	as	ADP
ejpam-48	127	20	a	a	DET
ejpam-48	127	21	totality	totality	NOUN
ejpam-48	127	22	.	.	PUNCT
ejpam-48	128	1	at	at	ADP
ejpam-48	128	2	this	this	DET
ejpam-48	128	3	point	point	NOUN
ejpam-48	128	4	,	,	PUNCT
ejpam-48	128	5	the	the	DET
ejpam-48	128	6	individual	individual	NOUN
ejpam-48	128	7	might	might	AUX
ejpam-48	128	8	attempt	attempt	VERB
ejpam-48	128	9	to	to	PART
ejpam-48	128	10	apply	apply	VERB
ejpam-48	128	11	an	an	DET
ejpam-48	128	12	action	action	NOUN
ejpam-48	128	13	,	,	PUNCT
ejpam-48	128	14	which	which	PRON
ejpam-48	128	15	might	might	AUX
ejpam-48	128	16	lead	lead	VERB
ejpam-48	128	17	to	to	ADP
ejpam-48	128	18	encapsulation	encapsulation	NOUN
ejpam-48	128	19	.	.	PUNCT
ejpam-48	129	1	the	the	DET
ejpam-48	129	2	resulting	result	VERB
ejpam-48	129	3	object	object	NOUN
ejpam-48	129	4	is	be	AUX
ejpam-48	129	5	the	the	DET
ejpam-48	129	6	state	state	NOUN
ejpam-48	129	7	at	at	ADP
ejpam-48	129	8	infinity	infinity	NOUN
ejpam-48	129	9	.	.	PUNCT
ejpam-48	130	1	since	since	SCONJ
ejpam-48	130	2	this	this	DET
ejpam-48	130	3	object	object	NOUN
ejpam-48	130	4	is	be	AUX
ejpam-48	130	5	beyond	beyond	ADP
ejpam-48	130	6	the	the	DET
ejpam-48	130	7	objects	object	NOUN
ejpam-48	130	8	that	that	PRON
ejpam-48	130	9	correspond	correspond	VERB
ejpam-48	130	10	to	to	ADP
ejpam-48	130	11	the	the	DET
ejpam-48	130	12	natural	natural	ADJ
ejpam-48	130	13	numbers	number	NOUN
ejpam-48	130	14	,	,	PUNCT
ejpam-48	130	15	and	and	CCONJ
ejpam-48	130	16	thus	thus	ADV
ejpam-48	130	17	not	not	PART
ejpam-48	130	18	directly	directly	ADV
ejpam-48	130	19	produced	produce	VERB
ejpam-48	130	20	by	by	ADP
ejpam-48	130	21	the	the	DET
ejpam-48	130	22	process	process	NOUN
ejpam-48	130	23	,	,	PUNCT
ejpam-48	130	24	brown	brown	PROPN
ejpam-48	130	25	et	et	PROPN
ejpam-48	130	26	al	al	PROPN
ejpam-48	130	27	.	.	PUNCT
ejpam-48	131	1	[	[	X
ejpam-48	131	2	4	4	NUM
ejpam-48	131	3	]	]	PUNCT
ejpam-48	131	4	refer	refer	VERB
ejpam-48	131	5	to	to	ADP
ejpam-48	131	6	the	the	DET
ejpam-48	131	7	object	object	NOUN
ejpam-48	131	8	as	as	ADP
ejpam-48	131	9	the	the	DET
ejpam-48	131	10	transcendent	transcendent	ADJ
ejpam-48	131	11	object	object	NOUN
ejpam-48	131	12	for	for	ADP
ejpam-48	131	13	the	the	DET
ejpam-48	131	14	process	process	NOUN
ejpam-48	131	15	.	.	PUNCT
ejpam-48	132	1	mathematical	mathematical	ADJ
ejpam-48	132	2	solution	solution	NOUN
ejpam-48	132	3	of	of	ADP
ejpam-48	132	4	the	the	DET
ejpam-48	132	5	tennis	tennis	NOUN
ejpam-48	132	6	ball	ball	NOUN
ejpam-48	132	7	problem	problem	NOUN
ejpam-48	132	8	the	the	DET
ejpam-48	132	9	tennis	tennis	NOUN
ejpam-48	132	10	ball	ball	NOUN
ejpam-48	132	11	problem	problem	NOUN
ejpam-48	132	12	is	be	AUX
ejpam-48	132	13	inherently	inherently	ADV
ejpam-48	132	14	iterative	iterative	ADJ
ejpam-48	132	15	and	and	CCONJ
ejpam-48	132	16	also	also	ADV
ejpam-48	132	17	paradoxical	paradoxical	ADJ
ejpam-48	132	18	.	.	PUNCT
ejpam-48	133	1	the	the	DET
ejpam-48	133	2	paradox	paradox	NOUN
ejpam-48	133	3	arises	arise	VERB
ejpam-48	133	4	from	from	ADP
ejpam-48	133	5	two	two	NUM
ejpam-48	133	6	seemingly	seemingly	ADV
ejpam-48	133	7	contradictory	contradictory	ADJ
ejpam-48	133	8	ideas	idea	NOUN
ejpam-48	133	9	.	.	PUNCT
ejpam-48	134	1	at	at	ADP
ejpam-48	134	2	each	each	DET
ejpam-48	134	3	step	step	NOUN
ejpam-48	134	4	,	,	PUNCT
ejpam-48	134	5	the	the	DET
ejpam-48	134	6	number	number	NOUN
ejpam-48	134	7	of	of	ADP
ejpam-48	134	8	balls	ball	NOUN
ejpam-48	134	9	in	in	ADP
ejpam-48	134	10	both	both	CCONJ
ejpam-48	134	11	bin	bin	NOUN
ejpam-48	134	12	a	a	PROPN
ejpam-48	134	13	and	and	CCONJ
ejpam-48	134	14	bin	bin	PROPN
ejpam-48	134	15	t	t	PROPN
ejpam-48	134	16	exceeds	exceed	VERB
ejpam-48	134	17	by	by	ADP
ejpam-48	134	18	one	one	NUM
ejpam-48	134	19	that	that	DET
ejpam-48	134	20	of	of	ADP
ejpam-48	134	21	the	the	DET
ejpam-48	134	22	previous	previous	ADJ
ejpam-48	134	23	step	step	NOUN
ejpam-48	134	24	;	;	PUNCT
ejpam-48	134	25	this	this	PRON
ejpam-48	134	26	suggests	suggest	VERB
ejpam-48	134	27	that	that	SCONJ
ejpam-48	134	28	bin	bin	PROPN
ejpam-48	134	29	a	a	PRON
ejpam-48	134	30	is	be	AUX
ejpam-48	134	31	not	not	PART
ejpam-48	134	32	empty	empty	ADJ
ejpam-48	134	33	at	at	ADP
ejpam-48	134	34	12	12	NUM
ejpam-48	134	35	noon	noon	NOUN
ejpam-48	134	36	.	.	PUNCT
ejpam-48	135	1	on	on	ADP
ejpam-48	135	2	the	the	DET
ejpam-48	135	3	other	other	ADJ
ejpam-48	135	4	hand	hand	NOUN
ejpam-48	135	5	,	,	PUNCT
ejpam-48	135	6	ballnis	ballnis	PROPN
ejpam-48	135	7	moved	move	VERB
ejpam-48	135	8	from	from	ADP
ejpam-48	135	9	bin	bin	PROPN
ejpam-48	135	10	a	a	PRON
ejpam-48	135	11	to	to	ADP
ejpam-48	135	12	bin	bin	PROPN
ejpam-48	135	13	t	t	PROPN
ejpam-48	135	14	at	at	ADP
ejpam-48	135	15	stepn	stepn	NOUN
ejpam-48	135	16	,	,	PUNCT
ejpam-48	135	17	which	which	PRON
ejpam-48	135	18	indicates	indicate	VERB
ejpam-48	135	19	that	that	SCONJ
ejpam-48	135	20	at	at	ADP
ejpam-48	135	21	12	12	NUM
ejpam-48	135	22	noon	noon	NOUN
ejpam-48	135	23	,	,	PUNCT
ejpam-48	135	24	a	a	PRON
ejpam-48	135	25	is	be	AUX
ejpam-48	135	26	empty	empty	ADJ
ejpam-48	135	27	and	and	CCONJ
ejpam-48	135	28	t	t	NOUN
ejpam-48	135	29	contains	contain	VERB
ejpam-48	135	30	all	all	PRON
ejpam-48	135	31	of	of	ADP
ejpam-48	135	32	the	the	DET
ejpam-48	135	33	natural	natural	ADJ
ejpam-48	135	34	numbers	number	NOUN
ejpam-48	135	35	.	.	PUNCT
ejpam-48	136	1	the	the	DET
ejpam-48	136	2	latter	latter	ADJ
ejpam-48	136	3	can	can	AUX
ejpam-48	136	4	be	be	AUX
ejpam-48	136	5	argued	argue	VERB
ejpam-48	136	6	mathematically	mathematically	ADV
ejpam-48	136	7	by	by	ADP
ejpam-48	136	8	assuming	assume	VERB
ejpam-48	136	9	the	the	DET
ejpam-48	136	10	contrary	contrary	NOUN
ejpam-48	136	11	:	:	PUNCT
ejpam-48	136	12	if	if	SCONJ
ejpam-48	136	13	we	we	PRON
ejpam-48	136	14	assume	assume	VERB
ejpam-48	136	15	that	that	SCONJ
ejpam-48	136	16	some	some	PRON
ejpam-48	136	17	ballpis	ballpis	VERB
ejpam-48	136	18	in	in	ADP
ejpam-48	136	19	bin	bin	PROPN
ejpam-48	136	20	a	a	PRON
ejpam-48	136	21	at	at	ADP
ejpam-48	136	22	12	12	NUM
ejpam-48	136	23	noon	noon	NOUN
ejpam-48	136	24	,	,	PUNCT
ejpam-48	136	25	this	this	PRON
ejpam-48	136	26	contradicts	contradict	VERB
ejpam-48	136	27	the	the	DET
ejpam-48	136	28	fact	fact	NOUN
ejpam-48	136	29	that	that	SCONJ
ejpam-48	136	30	ballpis	ballpis	ADV
ejpam-48	136	31	moved	move	VERB
ejpam-48	136	32	to	to	ADP
ejpam-48	136	33	bin	bin	PROPN
ejpam-48	136	34	t	t	PROPN
ejpam-48	136	35	at	at	ADP
ejpam-48	136	36	stepp	stepp	PROPN
ejpam-48	136	37	,	,	PUNCT
ejpam-48	136	38	p2	p2	PROPN
ejpam-48	136	39	1	1	NUM
ejpam-48	136	40	minutes	minute	NOUN
ejpam-48	136	41	before	before	ADP
ejpam-48	136	42	12	12	NUM
ejpam-48	136	43	noon	noon	NOUN
ejpam-48	136	44	.	.	PUNCT
ejpam-48	137	1	thus	thus	ADV
ejpam-48	137	2	,	,	PUNCT
ejpam-48	137	3	t	t	PROPN
ejpam-48	137	4	contains	contain	VERB
ejpam-48	137	5	the	the	DET
ejpam-48	137	6	set	set	NOUN
ejpam-48	137	7	of	of	ADP
ejpam-48	137	8	natural	natural	ADJ
ejpam-48	137	9	numbers	number	NOUN
ejpam-48	137	10	n	n	CCONJ
ejpam-48	137	11	,	,	PUNCT
ejpam-48	137	12	with	with	ADP
ejpam-48	137	13	both	both	CCONJ
ejpam-48	137	14	the	the	DET
ejpam-48	137	15	holding	hold	VERB
ejpam-48	137	16	bin	bin	PROPN
ejpam-48	137	17	and	and	CCONJ
ejpam-48	137	18	bin	bin	NOUN
ejpam-48	137	19	a	a	DET
ejpam-48	137	20	empty	empty	ADJ
ejpam-48	137	21	.	.	PUNCT
ejpam-48	138	1	preliminary	preliminary	ADJ
ejpam-48	138	2	genetic	genetic	ADJ
ejpam-48	138	3	decomposition	decomposition	NOUN
ejpam-48	138	4	of	of	ADP
ejpam-48	138	5	two	two	NUM
ejpam-48	138	6	-	-	PUNCT
ejpam-48	138	7	dimensional	dimensional	ADJ
ejpam-48	138	8	infinite	infinite	ADJ
ejpam-48	138	9	iterative	iterative	NOUN
ejpam-48	138	10	process	process	NOUN
ejpam-48	138	11	the	the	DET
ejpam-48	138	12	cognition	cognition	NOUN
ejpam-48	138	13	of	of	ADP
ejpam-48	138	14	the	the	DET
ejpam-48	138	15	tennis	tennis	NOUN
ejpam-48	138	16	ball	ball	NOUN
ejpam-48	138	17	problem	problem	NOUN
ejpam-48	138	18	is	be	AUX
ejpam-48	138	19	a	a	DET
ejpam-48	138	20	variation	variation	NOUN
ejpam-48	138	21	of	of	ADP
ejpam-48	138	22	the	the	DET
ejpam-48	138	23	cognition	cognition	NOUN
ejpam-48	138	24	of	of	ADP
ejpam-48	138	25	the	the	DET
ejpam-48	138	26	infinite	infinite	ADJ
ejpam-48	138	27	iterative	iterative	NOUN
ejpam-48	138	28	process	process	NOUN
ejpam-48	138	29	considered	consider	VERB
ejpam-48	138	30	by	by	ADP
ejpam-48	138	31	brown	brown	PROPN
ejpam-48	138	32	et	et	PROPN
ejpam-48	138	33	al	al	PROPN
ejpam-48	138	34	.	.	PUNCT
ejpam-48	139	1	[	[	X
ejpam-48	139	2	4	4	NUM
ejpam-48	139	3	]	]	PUNCT
ejpam-48	139	4	.	.	PUNCT
ejpam-48	140	1	the	the	DET
ejpam-48	140	2	latter	latter	ADJ
ejpam-48	140	3	involves	involve	VERB
ejpam-48	140	4	a	a	DET
ejpam-48	140	5	coordination	coordination	NOUN
ejpam-48	140	6	of	of	ADP
ejpam-48	140	7	two	two	NUM
ejpam-48	140	8	infinite	infinite	ADJ
ejpam-48	140	9	processes	process	NOUN
ejpam-48	140	10	:	:	PUNCT
ejpam-48	140	11	iteration	iteration	NOUN
ejpam-48	140	12	through	through	ADP
ejpam-48	140	13	the	the	DET
ejpam-48	140	14	set	set	NOUN
ejpam-48	140	15	n	n	PROPN
ejpam-48	140	16	of	of	ADP
ejpam-48	140	17	natural	natural	ADJ
ejpam-48	140	18	numbers	number	NOUN
ejpam-48	140	19	;	;	PUNCT
ejpam-48	140	20	and	and	CCONJ
ejpam-48	140	21	iteration	iteration	NOUN
ejpam-48	140	22	,	,	PUNCT
ejpam-48	140	23	indexed	indexed	ADJ
ejpam-48	140	24	byn	byn	PROPN
ejpam-48	140	25	,	,	PUNCT
ejpam-48	140	26	through	through	ADP
ejpam-48	140	27	the	the	DET
ejpam-48	140	28	unions	union	NOUN
ejpam-48	140	29	of	of	ADP
ejpam-48	140	30	certain	certain	ADJ
ejpam-48	140	31	subsets	subset	NOUN
ejpam-48	140	32	ofn	ofn	PROPN
ejpam-48	140	33	.	.	PUNCT
ejpam-48	141	1	the	the	DET
ejpam-48	141	2	tennis	tennis	NOUN
ejpam-48	141	3	ball	ball	NOUN
ejpam-48	141	4	problem	problem	NOUN
ejpam-48	141	5	considered	consider	VERB
ejpam-48	141	6	in	in	ADP
ejpam-48	141	7	the	the	DET
ejpam-48	141	8	present	present	ADJ
ejpam-48	141	9	study	study	NOUN
ejpam-48	141	10	involves	involve	VERB
ejpam-48	141	11	the	the	DET
ejpam-48	141	12	coordination	coordination	NOUN
ejpam-48	141	13	of	of	ADP
ejpam-48	141	14	three	three	NUM
ejpam-48	141	15	infinite	infinite	ADJ
ejpam-48	141	16	processes	process	NOUN
ejpam-48	141	17	:	:	PUNCT
ejpam-48	141	18	successive	successive	ADJ
ejpam-48	141	19	subdivision	subdivision	NOUN
ejpam-48	141	20	of	of	ADP
ejpam-48	141	21	the	the	DET
ejpam-48	141	22	one	one	NUM
ejpam-48	141	23	minute	minute	NOUN
ejpam-48	141	24	time	time	NOUN
ejpam-48	141	25	interval	interval	NOUN
ejpam-48	141	26	before	before	ADP
ejpam-48	141	27	12	12	NUM
ejpam-48	141	28	noon	noon	NOUN
ejpam-48	141	29	is	be	AUX
ejpam-48	141	30	a	a	DET
ejpam-48	141	31	coordination	coordination	NOUN
ejpam-48	141	32	of	of	ADP
ejpam-48	141	33	an	an	DET
ejpam-48	141	34	iteration	iteration	NOUN
ejpam-48	141	35	throughnwith	throughnwith	ADP
ejpam-48	141	36	a	a	DET
ejpam-48	141	37	process	process	NOUN
ejpam-48	141	38	of	of	ADP
ejpam-48	141	39	subdivision	subdivision	NOUN
ejpam-48	141	40	of	of	ADP
ejpam-48	141	41	the	the	DET
ejpam-48	141	42	time	time	NOUN
ejpam-48	141	43	that	that	PRON
ejpam-48	141	44	remains	remain	VERB
ejpam-48	141	45	before	before	ADP
ejpam-48	141	46	12	12	NUM
ejpam-48	141	47	noon	noon	NOUN
ejpam-48	141	48	.	.	PUNCT
ejpam-48	142	1	the	the	DET
ejpam-48	142	2	movement	movement	NOUN
ejpam-48	142	3	of	of	ADP
ejpam-48	142	4	the	the	DET
ejpam-48	142	5	tennis	tennis	NOUN
ejpam-48	142	6	balls	ball	NOUN
ejpam-48	142	7	is	be	AUX
ejpam-48	142	8	the	the	DET
ejpam-48	142	9	coordination	coordination	NOUN
ejpam-48	142	10	of	of	ADP
ejpam-48	142	11	an	an	DET
ejpam-48	142	12	iteration	iteration	NOUN
ejpam-48	142	13	throughnwith	throughnwith	ADP
ejpam-48	142	14	the	the	DET
ejpam-48	142	15	process	process	NOUN
ejpam-48	142	16	of	of	ADP
ejpam-48	142	17	moving	move	VERB
ejpam-48	142	18	the	the	DET
ejpam-48	142	19	balls	ball	NOUN
ejpam-48	142	20	.	.	PUNCT
ejpam-48	143	1	the	the	DET
ejpam-48	143	2	two	two	NUM
ejpam-48	143	3	iterative	iterative	NOUN
ejpam-48	143	4	processes	process	NOUN
ejpam-48	143	5	are	be	AUX
ejpam-48	143	6	then	then	ADV
ejpam-48	143	7	coordinated	coordinate	VERB
ejpam-48	143	8	into	into	ADP
ejpam-48	143	9	a	a	DET
ejpam-48	143	10	single	single	ADJ
ejpam-48	143	11	iterative	iterative	NOUN
ejpam-48	143	12	process	process	NOUN
ejpam-48	143	13	,	,	PUNCT
ejpam-48	143	14	where	where	SCONJ
ejpam-48	143	15	,	,	PUNCT
ejpam-48	143	16	at	at	ADP
ejpam-48	143	17	stepn	stepn	NOUN
ejpam-48	143	18	,	,	PUNCT
ejpam-48	143	19	which	which	PRON
ejpam-48	143	20	occurs	occur	VERB
ejpam-48	143	21	n2	n2	ADJ
ejpam-48	143	22	1	1	NUM
ejpam-48	143	23	minutes	minute	NOUN
ejpam-48	143	24	before	before	ADP
ejpam-48	143	25	12	12	NUM
ejpam-48	143	26	noon	noon	NOUN
ejpam-48	143	27	,	,	PUNCT
ejpam-48	143	28	balls	ball	NOUN
ejpam-48	143	29	numbered	number	VERB
ejpam-48	143	30	12	12	NUM
ejpam-48	143	31	−n	−n	ADJ
ejpam-48	143	32	and	and	CCONJ
ejpam-48	143	33	n2	n2	PROPN
ejpam-48	143	34	are	be	AUX
ejpam-48	143	35	moved	move	VERB
ejpam-48	143	36	from	from	ADP
ejpam-48	143	37	the	the	DET
ejpam-48	143	38	holding	hold	VERB
ejpam-48	143	39	bin	bin	NOUN
ejpam-48	143	40	to	to	ADP
ejpam-48	143	41	bin	bin	PROPN
ejpam-48	143	42	a	a	NOUN
ejpam-48	143	43	,	,	PUNCT
ejpam-48	143	44	and	and	CCONJ
ejpam-48	143	45	ballnis	ballnis	PROPN
ejpam-48	143	46	moved	move	VERB
ejpam-48	143	47	from	from	ADP
ejpam-48	143	48	bin	bin	PROPN
ejpam-48	143	49	a	a	PRON
ejpam-48	143	50	to	to	ADP
ejpam-48	143	51	bin	bin	PROPN
ejpam-48	143	52	t.	t.	PROPN
ejpam-48	143	53	encapsulation	encapsulation	NOUN
ejpam-48	143	54	of	of	ADP
ejpam-48	143	55	the	the	DET
ejpam-48	143	56	coordinated	coordinate	VERB
ejpam-48	143	57	iterative	iterative	NOUN
ejpam-48	143	58	process	process	NOUN
ejpam-48	143	59	yields	yield	VERB
ejpam-48	143	60	the	the	DET
ejpam-48	143	61	transcendent	transcendent	ADJ
ejpam-48	143	62	object	object	NOUN
ejpam-48	143	63	:	:	PUNCT
ejpam-48	143	64	at	at	ADP
ejpam-48	143	65	precisely	precisely	ADV
ejpam-48	143	66	12	12	NUM
ejpam-48	143	67	noon	noon	NOUN
ejpam-48	143	68	,	,	PUNCT
ejpam-48	143	69	the	the	DET
ejpam-48	143	70	holding	hold	VERB
ejpam-48	143	71	bin	bin	PROPN
ejpam-48	143	72	and	and	CCONJ
ejpam-48	143	73	bin	bin	PROPN
ejpam-48	143	74	a	a	PRON
ejpam-48	143	75	are	be	AUX
ejpam-48	143	76	empty	empty	ADJ
ejpam-48	143	77	,	,	PUNCT
ejpam-48	143	78	and	and	CCONJ
ejpam-48	143	79	the	the	DET
ejpam-48	143	80	contents	content	NOUN
ejpam-48	143	81	of	of	ADP
ejpam-48	143	82	bin	bin	PROPN
ejpam-48	143	83	t	t	PROPN
ejpam-48	143	84	is	be	AUX
ejpam-48	143	85	equal	equal	ADJ
ejpam-48	143	86	to	to	ADP
ejpam-48	143	87	the	the	DET
ejpam-48	143	88	natural	natural	ADJ
ejpam-48	143	89	numbers	number	NOUN
ejpam-48	143	90	n.	n.	VERB
ejpam-48	143	91	this	this	DET
ejpam-48	143	92	study	study	NOUN
ejpam-48	143	93	extends	extend	VERB
ejpam-48	143	94	[	[	X
ejpam-48	143	95	4	4	X
ejpam-48	143	96	]	]	PUNCT
ejpam-48	143	97	by	by	ADP
ejpam-48	143	98	considering	consider	VERB
ejpam-48	143	99	a	a	DET
ejpam-48	143	100	two	two	NUM
ejpam-48	143	101	-	-	PUNCT
ejpam-48	143	102	dimensional	dimensional	ADJ
ejpam-48	143	103	infinite	infinite	ADJ
ejpam-48	143	104	iterative	iterative	NOUN
ejpam-48	143	105	process	process	NOUN
ejpam-48	143	106	.	.	PUNCT
ejpam-48	144	1	an	an	DET
ejpam-48	144	2	additional	additional	ADJ
ejpam-48	144	3	extension	extension	NOUN
ejpam-48	144	4	involves	involve	VERB
ejpam-48	144	5	the	the	DET
ejpam-48	144	6	iterative	iterative	NOUN
ejpam-48	144	7	processes	process	NOUN
ejpam-48	144	8	themselves	themselves	PRON
ejpam-48	144	9	.	.	PUNCT
ejpam-48	145	1	the	the	DET
ejpam-48	145	2	problem	problem	NOUN
ejpam-48	145	3	in	in	ADP
ejpam-48	145	4	[	[	X
ejpam-48	145	5	4	4	NUM
ejpam-48	145	6	]	]	PUNCT
ejpam-48	145	7	was	be	AUX
ejpam-48	145	8	presented	present	VERB
ejpam-48	145	9	analytically	analytically	ADV
ejpam-48	145	10	,	,	PUNCT
ejpam-48	145	11	in	in	ADP
ejpam-48	145	12	the	the	DET
ejpam-48	145	13	form	form	NOUN
ejpam-48	145	14	given	give	VERB
ejpam-48	145	15	in	in	ADP
ejpam-48	145	16	(	(	PUNCT
ejpam-48	145	17	*	*	NOUN
ejpam-48	145	18	)	)	PUNCT
ejpam-48	145	19	above	above	ADV
ejpam-48	145	20	,	,	PUNCT
ejpam-48	145	21	and	and	CCONJ
ejpam-48	145	22	the	the	DET
ejpam-48	145	23	state	state	NOUN
ejpam-48	145	24	at	at	ADP
ejpam-48	145	25	infinity	infinity	NOUN
ejpam-48	145	26	is	be	AUX
ejpam-48	145	27	a	a	DET
ejpam-48	145	28	countable	countable	ADJ
ejpam-48	145	29	infinite	infinite	ADJ
ejpam-48	145	30	set	set	NOUN
ejpam-48	145	31	(	(	PUNCT
ejpam-48	145	32	the	the	DET
ejpam-48	145	33	union	union	NOUN
ejpam-48	145	34	of	of	ADP
ejpam-48	145	35	all	all	DET
ejpam-48	145	36	finite	finite	PROPN
ejpam-48	145	37	subsets	subset	NOUN
ejpam-48	145	38	ofn	ofn	PROPN
ejpam-48	145	39	)	)	PUNCT
ejpam-48	145	40	.	.	PUNCT
ejpam-48	146	1	in	in	ADP
ejpam-48	146	2	contrast	contrast	NOUN
ejpam-48	146	3	,	,	PUNCT
ejpam-48	146	4	in	in	ADP
ejpam-48	146	5	the	the	DET
ejpam-48	146	6	tennis	tennis	NOUN
ejpam-48	146	7	ball	ball	NOUN
ejpam-48	146	8	problem	problem	NOUN
ejpam-48	146	9	,	,	PUNCT
ejpam-48	146	10	the	the	DET
ejpam-48	146	11	passage	passage	NOUN
ejpam-48	146	12	of	of	ADP
ejpam-48	146	13	time	time	NOUN
ejpam-48	146	14	is	be	AUX
ejpam-48	146	15	an	an	DET
ejpam-48	146	16	infinite	infinite	ADJ
ejpam-48	146	17	division	division	NOUN
ejpam-48	146	18	of	of	ADP
ejpam-48	146	19	physical	physical	ADJ
ejpam-48	146	20	objects	object	NOUN
ejpam-48	146	21	(	(	PUNCT
ejpam-48	146	22	moments	moment	NOUN
ejpam-48	146	23	in	in	ADP
ejpam-48	146	24	time	time	NOUN
ejpam-48	146	25	)	)	PUNCT
ejpam-48	146	26	.	.	PUNCT
ejpam-48	147	1	additionally	additionally	ADV
ejpam-48	147	2	,	,	PUNCT
ejpam-48	147	3	both	both	DET
ejpam-48	147	4	time	time	NOUN
ejpam-48	147	5	and	and	CCONJ
ejpam-48	147	6	the	the	DET
ejpam-48	147	7	movement	movement	NOUN
ejpam-48	147	8	of	of	ADP
ejpam-48	147	9	the	the	DET
ejpam-48	147	10	tennis	tennis	NOUN
ejpam-48	147	11	balls	ball	NOUN
ejpam-48	147	12	feature	feature	VERB
ejpam-48	147	13	states	state	NOUN
ejpam-48	147	14	at	at	ADP
ejpam-48	147	15	infinity	infinity	NOUN
ejpam-48	147	16	that	that	PRON
ejpam-48	147	17	are	be	AUX
ejpam-48	147	18	finite	finite	ADJ
ejpam-48	147	19	.	.	PUNCT
ejpam-48	148	1	even	even	ADV
ejpam-48	148	2	though	though	SCONJ
ejpam-48	148	3	the	the	DET
ejpam-48	148	4	movement	movement	NOUN
ejpam-48	148	5	of	of	ADP
ejpam-48	148	6	the	the	DET
ejpam-48	148	7	balls	ball	NOUN
ejpam-48	148	8	in	in	ADP
ejpam-48	148	9	the	the	DET
ejpam-48	148	10	present	present	ADJ
ejpam-48	148	11	study	study	NOUN
ejpam-48	148	12	and	and	CCONJ
ejpam-48	148	13	the	the	DET
ejpam-48	148	14	infinite	infinite	ADJ
ejpam-48	148	15	union	union	NOUN
ejpam-48	148	16	in	in	ADP
ejpam-48	148	17	[	[	X
ejpam-48	148	18	4	4	X
ejpam-48	148	19	]	]	PUNCT
ejpam-48	148	20	involve	involve	VERB
ejpam-48	148	21	natural	natural	ADJ
ejpam-48	148	22	numbers	number	NOUN
ejpam-48	148	23	,	,	PUNCT
ejpam-48	148	24	e.	e.	PROPN
ejpam-48	148	25	dubinsky	dubinsky	PROPN
ejpam-48	148	26	et	et	PROPN
ejpam-48	148	27	al	al	PROPN
ejpam-48	148	28	.	.	PUNCT
ejpam-48	148	29	/	/	SYM
ejpam-48	148	30	eur	eur	PROPN
ejpam-48	148	31	.	.	PUNCT
ejpam-48	149	1	j.	j.	PROPN
ejpam-48	149	2	pure	pure	PROPN
ejpam-48	149	3	.	.	PUNCT
ejpam-48	150	1	appl	appl	PROPN
ejpam-48	150	2	.	.	PUNCT
ejpam-48	150	3	math	math	NOUN
ejpam-48	150	4	.	.	PUNCT
ejpam-48	151	1	1	1	NUM
ejpam-48	151	2	,	,	PUNCT
ejpam-48	151	3	(	(	PUNCT
ejpam-48	151	4	2008	2008	NUM
ejpam-48	151	5	)	)	PUNCT
ejpam-48	151	6	,	,	PUNCT
ejpam-48	151	7	(	(	PUNCT
ejpam-48	151	8	99	99	NUM
ejpam-48	151	9	-	-	SYM
ejpam-48	151	10	121	121	NUM
ejpam-48	151	11	)	)	PUNCT
ejpam-48	151	12	104	104	NUM
ejpam-48	151	13	the	the	DET
ejpam-48	151	14	former	former	ADJ
ejpam-48	151	15	involves	involve	VERB
ejpam-48	151	16	partitions	partition	NOUN
ejpam-48	151	17	of	of	ADP
ejpam-48	151	18	n	n	NOUN
ejpam-48	151	19	into	into	ADP
ejpam-48	151	20	two	two	NUM
ejpam-48	151	21	disjoint	disjoint	ADJ
ejpam-48	151	22	subsets	subset	NOUN
ejpam-48	151	23	of	of	ADP
ejpam-48	151	24	consecutive	consecutive	ADJ
ejpam-48	151	25	natural	natural	ADJ
ejpam-48	151	26	numbers	number	NOUN
ejpam-48	151	27	,	,	PUNCT
ejpam-48	151	28	whereas	whereas	SCONJ
ejpam-48	151	29	the	the	DET
ejpam-48	151	30	problem	problem	NOUN
ejpam-48	151	31	situation	situation	NOUN
ejpam-48	151	32	in	in	ADP
ejpam-48	151	33	[	[	X
ejpam-48	151	34	4	4	NUM
ejpam-48	151	35	]	]	PUNCT
ejpam-48	151	36	involves	involve	VERB
ejpam-48	151	37	arbitrary	arbitrary	ADJ
ejpam-48	151	38	subsets	subset	NOUN
ejpam-48	151	39	ofn	ofn	PROPN
ejpam-48	151	40	.	.	PUNCT
ejpam-48	152	1	other	other	ADJ
ejpam-48	152	2	related	relate	VERB
ejpam-48	152	3	literature	literature	NOUN
ejpam-48	152	4	for	for	ADP
ejpam-48	152	5	many	many	ADJ
ejpam-48	152	6	concepts	concept	NOUN
ejpam-48	152	7	,	,	PUNCT
ejpam-48	152	8	particularly	particularly	ADV
ejpam-48	152	9	those	those	PRON
ejpam-48	152	10	that	that	PRON
ejpam-48	152	11	are	be	AUX
ejpam-48	152	12	abstract	abstract	ADJ
ejpam-48	152	13	and/or	and/or	CCONJ
ejpam-48	152	14	complex	complex	ADJ
ejpam-48	152	15	,	,	PUNCT
ejpam-48	152	16	fischbein	fischbein	NOUN
ejpam-48	153	1	[	[	X
ejpam-48	153	2	7	7	NUM
ejpam-48	153	3	]	]	PUNCT
ejpam-48	153	4	says	say	VERB
ejpam-48	153	5	that	that	SCONJ
ejpam-48	153	6	we	we	PRON
ejpam-48	153	7	create	create	VERB
ejpam-48	153	8	models	model	NOUN
ejpam-48	153	9	.	.	PUNCT
ejpam-48	154	1	the	the	DET
ejpam-48	154	2	models	model	NOUN
ejpam-48	154	3	help	help	VERB
ejpam-48	154	4	us	we	PRON
ejpam-48	154	5	to	to	PART
ejpam-48	154	6	understand	understand	VERB
ejpam-48	154	7	the	the	DET
ejpam-48	154	8	concepts	concept	NOUN
ejpam-48	154	9	and	and	CCONJ
ejpam-48	154	10	to	to	PART
ejpam-48	154	11	reason	reason	NOUN
ejpam-48	154	12	about	about	ADP
ejpam-48	154	13	them	they	PRON
ejpam-48	154	14	.	.	PUNCT
ejpam-48	155	1	although	although	SCONJ
ejpam-48	155	2	an	an	DET
ejpam-48	155	3	aid	aid	NOUN
ejpam-48	155	4	to	to	ADP
ejpam-48	155	5	thinking	thinking	NOUN
ejpam-48	155	6	,	,	PUNCT
ejpam-48	155	7	a	a	DET
ejpam-48	155	8	model	model	NOUN
ejpam-48	155	9	can	can	AUX
ejpam-48	155	10	also	also	ADV
ejpam-48	155	11	be	be	AUX
ejpam-48	155	12	an	an	DET
ejpam-48	155	13	obstacle	obstacle	NOUN
ejpam-48	155	14	.	.	PUNCT
ejpam-48	156	1	specifically	specifically	ADV
ejpam-48	156	2	,	,	PUNCT
ejpam-48	156	3	a	a	DET
ejpam-48	156	4	model	model	NOUN
ejpam-48	156	5	may	may	AUX
ejpam-48	156	6	tacitly	tacitly	ADV
ejpam-48	156	7	intervene	intervene	VERB
ejpam-48	156	8	in	in	ADP
ejpam-48	156	9	one	one	NUM
ejpam-48	156	10	’s	’s	PART
ejpam-48	156	11	reasoning	reasoning	NOUN
ejpam-48	156	12	even	even	ADV
ejpam-48	156	13	when	when	SCONJ
ejpam-48	156	14	it	it	PRON
ejpam-48	156	15	needs	need	VERB
ejpam-48	156	16	to	to	PART
ejpam-48	156	17	be	be	AUX
ejpam-48	156	18	dropped	drop	VERB
ejpam-48	156	19	.	.	PUNCT
ejpam-48	157	1	for	for	ADP
ejpam-48	157	2	instance	instance	NOUN
ejpam-48	157	3	,	,	PUNCT
ejpam-48	157	4	an	an	DET
ejpam-48	157	5	individual	individual	NOUN
ejpam-48	157	6	may	may	AUX
ejpam-48	157	7	know	know	VERB
ejpam-48	157	8	that	that	SCONJ
ejpam-48	157	9	a	a	DET
ejpam-48	157	10	point	point	NOUN
ejpam-48	157	11	has	have	VERB
ejpam-48	157	12	no	no	DET
ejpam-48	157	13	dimension	dimension	NOUN
ejpam-48	157	14	,	,	PUNCT
ejpam-48	157	15	but	but	CCONJ
ejpam-48	157	16	,	,	PUNCT
ejpam-48	157	17	when	when	SCONJ
ejpam-48	157	18	presented	present	VERB
ejpam-48	157	19	with	with	ADP
ejpam-48	157	20	two	two	NUM
ejpam-48	157	21	segments	segment	NOUN
ejpam-48	157	22	of	of	ADP
ejpam-48	157	23	unequal	unequal	ADJ
ejpam-48	157	24	length	length	NOUN
ejpam-48	157	25	,	,	PUNCT
ejpam-48	157	26	believe	believe	VERB
ejpam-48	157	27	that	that	SCONJ
ejpam-48	157	28	the	the	DET
ejpam-48	157	29	longer	long	ADJ
ejpam-48	157	30	segment	segment	NOUN
ejpam-48	157	31	has	have	VERB
ejpam-48	157	32	more	more	ADJ
ejpam-48	157	33	points	point	NOUN
ejpam-48	157	34	than	than	ADP
ejpam-48	157	35	the	the	DET
ejpam-48	157	36	smaller	small	ADJ
ejpam-48	157	37	segment	segment	NOUN
ejpam-48	157	38	because	because	SCONJ
ejpam-48	157	39	geometric	geometric	ADJ
ejpam-48	157	40	points	point	NOUN
ejpam-48	157	41	are	be	AUX
ejpam-48	157	42	unconsciously	unconsciously	ADV
ejpam-48	157	43	conceived	conceive	VERB
ejpam-48	157	44	as	as	ADP
ejpam-48	157	45	smalls	smalls	ADJ
ejpam-48	157	46	dots	dot	NOUN
ejpam-48	157	47	.	.	PUNCT
ejpam-48	158	1	when	when	SCONJ
ejpam-48	158	2	thinking	think	VERB
ejpam-48	158	3	about	about	ADP
ejpam-48	158	4	time	time	NOUN
ejpam-48	158	5	,	,	PUNCT
ejpam-48	158	6	an	an	DET
ejpam-48	158	7	individual	individual	NOUN
ejpam-48	158	8	may	may	AUX
ejpam-48	158	9	tacitly	tacitly	ADV
ejpam-48	158	10	think	think	VERB
ejpam-48	158	11	in	in	ADP
ejpam-48	158	12	terms	term	NOUN
ejpam-48	158	13	of	of	ADP
ejpam-48	158	14	space	space	NOUN
ejpam-48	158	15	.	.	PUNCT
ejpam-48	159	1	given	give	VERB
ejpam-48	159	2	an	an	DET
ejpam-48	159	3	iterative	iterative	NOUN
ejpam-48	159	4	process	process	NOUN
ejpam-48	159	5	for	for	ADP
ejpam-48	159	6	subdividing	subdivide	VERB
ejpam-48	159	7	a	a	DET
ejpam-48	159	8	finite	finite	ADJ
ejpam-48	159	9	span	span	NOUN
ejpam-48	159	10	of	of	ADP
ejpam-48	159	11	time	time	NOUN
ejpam-48	159	12	,	,	PUNCT
ejpam-48	159	13	such	such	ADJ
ejpam-48	159	14	as	as	ADP
ejpam-48	159	15	that	that	PRON
ejpam-48	159	16	presented	present	VERB
ejpam-48	159	17	in	in	ADP
ejpam-48	159	18	the	the	DET
ejpam-48	159	19	tennis	tennis	NOUN
ejpam-48	159	20	ball	ball	NOUN
ejpam-48	159	21	problem	problem	NOUN
ejpam-48	159	22	,	,	PUNCT
ejpam-48	159	23	the	the	DET
ejpam-48	159	24	individual	individual	ADJ
ejpam-48	159	25	reasons	reason	NOUN
ejpam-48	159	26	in	in	ADP
ejpam-48	159	27	spatial	spatial	ADJ
ejpam-48	159	28	terms	term	NOUN
ejpam-48	159	29	,	,	PUNCT
ejpam-48	159	30	and	and	CCONJ
ejpam-48	159	31	may	may	AUX
ejpam-48	159	32	,	,	PUNCT
ejpam-48	159	33	as	as	ADP
ejpam-48	159	34	fischbein	fischbein	NOUN
ejpam-48	159	35	[	[	X
ejpam-48	159	36	7	7	NUM
ejpam-48	159	37	]	]	PUNCT
ejpam-48	159	38	contends	contend	VERB
ejpam-48	159	39	,	,	PUNCT
ejpam-48	159	40	fail	fail	VERB
ejpam-48	159	41	to	to	PART
ejpam-48	159	42	avoid	avoid	VERB
ejpam-48	159	43	zeno	zeno	PROPN
ejpam-48	159	44	’s	’s	PART
ejpam-48	159	45	paradox	paradox	NOUN
ejpam-48	159	46	.	.	PUNCT
ejpam-48	160	1	specifically	specifically	ADV
ejpam-48	160	2	,	,	PUNCT
ejpam-48	160	3	in	in	ADP
ejpam-48	160	4	order	order	NOUN
ejpam-48	160	5	to	to	PART
ejpam-48	160	6	get	get	VERB
ejpam-48	160	7	from	from	ADP
ejpam-48	160	8	one	one	NUM
ejpam-48	160	9	point	point	NOUN
ejpam-48	160	10	to	to	ADP
ejpam-48	160	11	another	another	PRON
ejpam-48	160	12	,	,	PUNCT
ejpam-48	160	13	one	one	PRON
ejpam-48	160	14	must	must	AUX
ejpam-48	160	15	first	first	ADV
ejpam-48	160	16	traverse	traverse	VERB
ejpam-48	160	17	half	half	DET
ejpam-48	160	18	the	the	DET
ejpam-48	160	19	distance	distance	NOUN
ejpam-48	160	20	,	,	PUNCT
ejpam-48	160	21	then	then	ADV
ejpam-48	160	22	half	half	NOUN
ejpam-48	160	23	of	of	ADP
ejpam-48	160	24	the	the	DET
ejpam-48	160	25	half	half	NOUN
ejpam-48	160	26	,	,	PUNCT
ejpam-48	160	27	and	and	CCONJ
ejpam-48	160	28	so	so	ADV
ejpam-48	160	29	on	on	ADV
ejpam-48	160	30	,	,	PUNCT
ejpam-48	160	31	indefinitely	indefinitely	ADV
ejpam-48	160	32	.	.	PUNCT
ejpam-48	161	1	this	this	PRON
ejpam-48	161	2	means	mean	VERB
ejpam-48	161	3	that	that	SCONJ
ejpam-48	161	4	in	in	ADP
ejpam-48	161	5	order	order	NOUN
ejpam-48	161	6	to	to	PART
ejpam-48	161	7	go	go	VERB
ejpam-48	161	8	from	from	ADP
ejpam-48	161	9	one	one	NUM
ejpam-48	161	10	point	point	NOUN
ejpam-48	161	11	to	to	ADP
ejpam-48	161	12	another	another	PRON
ejpam-48	161	13	,	,	PUNCT
ejpam-48	161	14	infinitely	infinitely	ADV
ejpam-48	161	15	many	many	ADJ
ejpam-48	161	16	distances	distance	NOUN
ejpam-48	161	17	have	have	VERB
ejpam-48	161	18	to	to	PART
ejpam-48	161	19	be	be	AUX
ejpam-48	161	20	covered	cover	VERB
ejpam-48	161	21	.	.	PUNCT
ejpam-48	162	1	however	however	ADV
ejpam-48	162	2	,	,	PUNCT
ejpam-48	162	3	an	an	DET
ejpam-48	162	4	infinity	infinity	NOUN
ejpam-48	162	5	of	of	ADP
ejpam-48	162	6	distances	distance	NOUN
ejpam-48	162	7	can	can	AUX
ejpam-48	162	8	not	not	PART
ejpam-48	162	9	be	be	AUX
ejpam-48	162	10	covered	cover	VERB
ejpam-48	162	11	in	in	ADP
ejpam-48	162	12	a	a	DET
ejpam-48	162	13	finite	finite	ADJ
ejpam-48	162	14	span	span	NOUN
ejpam-48	162	15	of	of	ADP
ejpam-48	162	16	time	time	NOUN
ejpam-48	162	17	.	.	PUNCT
ejpam-48	163	1	purely	purely	ADV
ejpam-48	163	2	potential	potential	ADJ
ejpam-48	163	3	views	view	NOUN
ejpam-48	163	4	of	of	ADP
ejpam-48	163	5	subdivision	subdivision	NOUN
ejpam-48	163	6	processes	process	NOUN
ejpam-48	163	7	abound	abound	NOUN
ejpam-48	163	8	,	,	PUNCT
ejpam-48	163	9	so	so	ADV
ejpam-48	163	10	much	much	ADV
ejpam-48	163	11	so	so	SCONJ
ejpam-48	163	12	that	that	SCONJ
ejpam-48	163	13	tirosh	tirosh	NOUN
ejpam-48	163	14	and	and	CCONJ
ejpam-48	163	15	stavy	stavy	VERB
ejpam-48	164	1	[	[	X
ejpam-48	164	2	12	12	NUM
ejpam-48	164	3	]	]	PUNCT
ejpam-48	164	4	used	use	VERB
ejpam-48	164	5	the	the	DET
ejpam-48	164	6	term	term	NOUN
ejpam-48	164	7	intuitive	intuitive	ADJ
ejpam-48	164	8	rule	rule	NOUN
ejpam-48	164	9	to	to	PART
ejpam-48	164	10	describe	describe	VERB
ejpam-48	164	11	students	student	NOUN
ejpam-48	164	12	’	’	PART
ejpam-48	164	13	predominant	predominant	ADJ
ejpam-48	164	14	tendencies	tendency	NOUN
ejpam-48	164	15	to	to	PART
ejpam-48	164	16	see	see	VERB
ejpam-48	164	17	the	the	DET
ejpam-48	164	18	divisibility	divisibility	NOUN
ejpam-48	164	19	of	of	ADP
ejpam-48	164	20	space	space	NOUN
ejpam-48	164	21	and	and	CCONJ
ejpam-48	164	22	material	material	NOUN
ejpam-48	164	23	objects	object	NOUN
ejpam-48	164	24	as	as	ADP
ejpam-48	164	25	infinite	infinite	ADJ
ejpam-48	164	26	and	and	CCONJ
ejpam-48	164	27	uncompletable	uncompletable	ADJ
ejpam-48	164	28	.	.	PUNCT
ejpam-48	165	1	in	in	ADP
ejpam-48	165	2	a	a	DET
ejpam-48	165	3	recent	recent	ADJ
ejpam-48	165	4	study	study	NOUN
ejpam-48	165	5	that	that	PRON
ejpam-48	165	6	asked	ask	VERB
ejpam-48	165	7	elementary	elementary	ADJ
ejpam-48	165	8	,	,	PUNCT
ejpam-48	165	9	secondary	secondary	ADJ
ejpam-48	165	10	,	,	PUNCT
ejpam-48	165	11	and	and	CCONJ
ejpam-48	165	12	university	university	NOUN
ejpam-48	165	13	students	student	NOUN
ejpam-48	165	14	to	to	PART
ejpam-48	165	15	determine	determine	VERB
ejpam-48	165	16	whether	whether	SCONJ
ejpam-48	165	17	the	the	DET
ejpam-48	165	18	number	number	NOUN
ejpam-48	165	19	of	of	ADP
ejpam-48	165	20	drops	drop	NOUN
ejpam-48	165	21	of	of	ADP
ejpam-48	165	22	water	water	NOUN
ejpam-48	165	23	in	in	ADP
ejpam-48	165	24	a	a	DET
ejpam-48	165	25	cup	cup	NOUN
ejpam-48	165	26	is	be	AUX
ejpam-48	165	27	finite	finite	ADJ
ejpam-48	165	28	or	or	CCONJ
ejpam-48	165	29	infinite	infinite	VERB
ejpam-48	165	30	,	,	PUNCT
ejpam-48	165	31	tirosh	tirosh	NOUN
ejpam-48	166	1	[	[	X
ejpam-48	166	2	13	13	NUM
ejpam-48	166	3	]	]	PUNCT
ejpam-48	166	4	found	find	VERB
ejpam-48	166	5	that	that	SCONJ
ejpam-48	166	6	fewer	few	ADJ
ejpam-48	166	7	than	than	ADP
ejpam-48	166	8	40	40	NUM
ejpam-48	166	9	%	%	NOUN
ejpam-48	166	10	of	of	ADP
ejpam-48	166	11	the	the	DET
ejpam-48	166	12	subjects	subject	NOUN
ejpam-48	166	13	believed	believe	VERB
ejpam-48	166	14	the	the	DET
ejpam-48	166	15	quantity	quantity	NOUN
ejpam-48	166	16	to	to	PART
ejpam-48	166	17	be	be	AUX
ejpam-48	166	18	finite	finite	ADJ
ejpam-48	166	19	.	.	PUNCT
ejpam-48	167	1	many	many	ADJ
ejpam-48	167	2	said	say	VERB
ejpam-48	167	3	that	that	SCONJ
ejpam-48	167	4	“	"	PUNCT
ejpam-48	167	5	everything	everything	PRON
ejpam-48	167	6	is	be	AUX
ejpam-48	167	7	divisible	divisible	ADJ
ejpam-48	167	8	by	by	ADP
ejpam-48	167	9	two	two	NUM
ejpam-48	167	10	,	,	PUNCT
ejpam-48	167	11	including	include	VERB
ejpam-48	167	12	drops	drop	NOUN
ejpam-48	167	13	of	of	ADP
ejpam-48	167	14	water	water	NOUN
ejpam-48	167	15	,	,	PUNCT
ejpam-48	167	16	”	"	PUNCT
ejpam-48	167	17	“	"	PUNCT
ejpam-48	167	18	every	every	DET
ejpam-48	167	19	drop	drop	NOUN
ejpam-48	167	20	can	can	AUX
ejpam-48	167	21	be	be	AUX
ejpam-48	167	22	divided	divide	VERB
ejpam-48	167	23	by	by	ADP
ejpam-48	167	24	two	two	NUM
ejpam-48	167	25	,	,	PUNCT
ejpam-48	167	26	”	"	PUNCT
ejpam-48	167	27	“	"	PUNCT
ejpam-48	167	28	every	every	DET
ejpam-48	167	29	drop	drop	NOUN
ejpam-48	167	30	is	be	AUX
ejpam-48	167	31	made	make	VERB
ejpam-48	167	32	up	up	ADP
ejpam-48	167	33	an	an	DET
ejpam-48	167	34	infinite	infinite	ADJ
ejpam-48	167	35	number	number	NOUN
ejpam-48	167	36	of	of	ADP
ejpam-48	167	37	drops	drop	NOUN
ejpam-48	167	38	,	,	PUNCT
ejpam-48	167	39	”	"	PUNCT
ejpam-48	167	40	or	or	CCONJ
ejpam-48	167	41	“	"	PUNCT
ejpam-48	167	42	you	you	PRON
ejpam-48	167	43	can	can	AUX
ejpam-48	167	44	reduce	reduce	VERB
ejpam-48	167	45	the	the	DET
ejpam-48	167	46	size	size	NOUN
ejpam-48	167	47	of	of	ADP
ejpam-48	167	48	the	the	DET
ejpam-48	167	49	drop	drop	NOUN
ejpam-48	167	50	as	as	ADV
ejpam-48	167	51	much	much	ADV
ejpam-48	167	52	as	as	SCONJ
ejpam-48	167	53	you	you	PRON
ejpam-48	167	54	wish	wish	VERB
ejpam-48	167	55	”	"	PUNCT
ejpam-48	167	56	(	(	PUNCT
ejpam-48	167	57	p.346	p.346	NUM
ejpam-48	167	58	)	)	PUNCT
ejpam-48	167	59	.	.	PUNCT
ejpam-48	168	1	deep	deep	ADV
ejpam-48	168	2	-	-	PUNCT
ejpam-48	168	3	seated	seat	VERB
ejpam-48	168	4	potential	potential	ADJ
ejpam-48	168	5	infinity	infinity	NOUN
ejpam-48	168	6	views	view	NOUN
ejpam-48	168	7	are	be	AUX
ejpam-48	168	8	not	not	PART
ejpam-48	168	9	limited	limit	VERB
ejpam-48	168	10	to	to	ADP
ejpam-48	168	11	subdivision	subdivision	NOUN
ejpam-48	168	12	processes	process	NOUN
ejpam-48	168	13	.	.	PUNCT
ejpam-48	169	1	throughout	throughout	ADP
ejpam-48	169	2	history	history	NOUN
ejpam-48	169	3	,	,	PUNCT
ejpam-48	169	4	many	many	ADJ
ejpam-48	169	5	philosophers	philosopher	NOUN
ejpam-48	169	6	and	and	CCONJ
ejpam-48	169	7	mathematicians	mathematician	NOUN
ejpam-48	169	8	rejected	reject	VERB
ejpam-48	169	9	the	the	DET
ejpam-48	169	10	existence	existence	NOUN
ejpam-48	169	11	of	of	ADP
ejpam-48	169	12	actual	actual	ADJ
ejpam-48	169	13	infinity	infinity	NOUN
ejpam-48	169	14	.	.	PUNCT
ejpam-48	170	1	aristotle	aristotle	PROPN
ejpam-48	170	2	considered	consider	VERB
ejpam-48	170	3	actual	actual	ADJ
ejpam-48	170	4	infinities	infinity	NOUN
ejpam-48	170	5	to	to	PART
ejpam-48	170	6	be	be	AUX
ejpam-48	170	7	incomprehensible	incomprehensible	ADJ
ejpam-48	170	8	because	because	SCONJ
ejpam-48	170	9	the	the	DET
ejpam-48	170	10	completion	completion	NOUN
ejpam-48	170	11	of	of	ADP
ejpam-48	170	12	an	an	DET
ejpam-48	170	13	infinite	infinite	ADJ
ejpam-48	170	14	process	process	NOUN
ejpam-48	170	15	would	would	AUX
ejpam-48	170	16	require	require	VERB
ejpam-48	170	17	the	the	DET
ejpam-48	170	18	whole	whole	NOUN
ejpam-48	170	19	of	of	ADP
ejpam-48	170	20	time	time	NOUN
ejpam-48	170	21	.	.	PUNCT
ejpam-48	171	1	although	although	SCONJ
ejpam-48	171	2	he	he	PRON
ejpam-48	171	3	accepted	accept	VERB
ejpam-48	171	4	the	the	DET
ejpam-48	171	5	existence	existence	NOUN
ejpam-48	171	6	of	of	ADP
ejpam-48	171	7	every	every	DET
ejpam-48	171	8	natural	natural	ADJ
ejpam-48	171	9	number	number	NOUN
ejpam-48	171	10	,	,	PUNCT
ejpam-48	171	11	he	he	PRON
ejpam-48	171	12	did	do	AUX
ejpam-48	171	13	not	not	PART
ejpam-48	171	14	view	view	VERB
ejpam-48	171	15	the	the	DET
ejpam-48	171	16	natural	natural	ADJ
ejpam-48	171	17	numbers	number	NOUN
ejpam-48	171	18	as	as	ADP
ejpam-48	171	19	an	an	DET
ejpam-48	171	20	actual	actual	ADJ
ejpam-48	171	21	infinite	infinite	ADJ
ejpam-48	171	22	collection	collection	NOUN
ejpam-48	171	23	because	because	SCONJ
ejpam-48	171	24	to	to	ADP
ejpam-48	171	25	him	he	PRON
ejpam-48	171	26	,	,	PUNCT
ejpam-48	171	27	a	a	DET
ejpam-48	171	28	quantity	quantity	NOUN
ejpam-48	171	29	was	be	AUX
ejpam-48	171	30	a	a	DET
ejpam-48	171	31	number	number	NOUN
ejpam-48	171	32	,	,	PUNCT
ejpam-48	171	33	a	a	DET
ejpam-48	171	34	number	number	NOUN
ejpam-48	171	35	was	be	AUX
ejpam-48	171	36	something	something	PRON
ejpam-48	171	37	arrived	arrive	VERB
ejpam-48	171	38	at	at	ADP
ejpam-48	171	39	by	by	ADP
ejpam-48	171	40	counting	count	VERB
ejpam-48	171	41	,	,	PUNCT
ejpam-48	171	42	and	and	CCONJ
ejpam-48	171	43	given	give	VERB
ejpam-48	171	44	the	the	DET
ejpam-48	171	45	untraversability	untraversability	NOUN
ejpam-48	171	46	of	of	ADP
ejpam-48	171	47	the	the	DET
ejpam-48	171	48	process	process	NOUN
ejpam-48	171	49	of	of	ADP
ejpam-48	171	50	counting	count	VERB
ejpam-48	171	51	there	there	PRON
ejpam-48	171	52	could	could	AUX
ejpam-48	171	53	be	be	AUX
ejpam-48	171	54	no	no	DET
ejpam-48	171	55	such	such	ADJ
ejpam-48	171	56	thing	thing	NOUN
ejpam-48	171	57	as	as	ADP
ejpam-48	171	58	an	an	DET
ejpam-48	171	59	infinite	infinite	ADJ
ejpam-48	171	60	quantity	quantity	NOUN
ejpam-48	171	61	(	(	PUNCT
ejpam-48	171	62	see	see	VERB
ejpam-48	171	63	[	[	X
ejpam-48	171	64	14	14	NUM
ejpam-48	171	65	]	]	NUM
ejpam-48	171	66	)	)	PUNCT
ejpam-48	171	67	.	.	PUNCT
ejpam-48	172	1	fischbein	fischbein	PROPN
ejpam-48	173	1	[	[	X
ejpam-48	173	2	7	7	X
ejpam-48	173	3	]	]	PUNCT
ejpam-48	173	4	expressed	express	VERB
ejpam-48	173	5	a	a	DET
ejpam-48	173	6	similar	similar	ADJ
ejpam-48	173	7	view	view	NOUN
ejpam-48	173	8	:	:	PUNCT
ejpam-48	173	9	“	"	PUNCT
ejpam-48	173	10	we	we	PRON
ejpam-48	173	11	can	can	AUX
ejpam-48	173	12	not	not	PART
ejpam-48	173	13	conceive	conceive	VERB
ejpam-48	173	14	of	of	ADP
ejpam-48	173	15	the	the	DET
ejpam-48	173	16	entire	entire	ADJ
ejpam-48	173	17	set	set	NOUN
ejpam-48	173	18	of	of	ADP
ejpam-48	173	19	natural	natural	ADJ
ejpam-48	173	20	numbers	number	NOUN
ejpam-48	173	21	,	,	PUNCT
ejpam-48	173	22	but	but	CCONJ
ejpam-48	173	23	we	we	PRON
ejpam-48	173	24	can	can	AUX
ejpam-48	173	25	conceive	conceive	VERB
ejpam-48	173	26	of	of	ADP
ejpam-48	173	27	the	the	DET
ejpam-48	173	28	idea	idea	NOUN
ejpam-48	173	29	that	that	SCONJ
ejpam-48	173	30	after	after	ADP
ejpam-48	173	31	every	every	DET
ejpam-48	173	32	natural	natural	ADJ
ejpam-48	173	33	number	number	NOUN
ejpam-48	173	34	,	,	PUNCT
ejpam-48	173	35	no	no	ADV
ejpam-48	173	36	matter	matter	ADV
ejpam-48	173	37	how	how	SCONJ
ejpam-48	173	38	big	big	ADJ
ejpam-48	173	39	,	,	PUNCT
ejpam-48	173	40	there	there	PRON
ejpam-48	173	41	is	be	VERB
ejpam-48	173	42	another	another	DET
ejpam-48	173	43	natural	natural	ADJ
ejpam-48	173	44	number	number	NOUN
ejpam-48	173	45	”	"	PUNCT
ejpam-48	173	46	(	(	PUNCT
ejpam-48	173	47	p.310	p.310	NOUN
ejpam-48	173	48	)	)	PUNCT
ejpam-48	173	49	.	.	PUNCT
ejpam-48	174	1	in	in	ADP
ejpam-48	174	2	instructional	instructional	ADJ
ejpam-48	174	3	situations	situation	NOUN
ejpam-48	174	4	,	,	PUNCT
ejpam-48	174	5	however	however	ADV
ejpam-48	174	6	,	,	PUNCT
ejpam-48	174	7	the	the	DET
ejpam-48	174	8	natural	natural	ADJ
ejpam-48	174	9	numbers	number	NOUN
ejpam-48	174	10	are	be	AUX
ejpam-48	174	11	often	often	ADV
ejpam-48	174	12	treated	treat	VERB
ejpam-48	174	13	as	as	ADP
ejpam-48	174	14	a	a	DET
ejpam-48	174	15	set	set	NOUN
ejpam-48	174	16	.	.	PUNCT
ejpam-48	175	1	tall	tall	ADJ
ejpam-48	175	2	[	[	X
ejpam-48	175	3	15	15	NUM
ejpam-48	175	4	]	]	PUNCT
ejpam-48	175	5	suggests	suggest	VERB
ejpam-48	175	6	that	that	SCONJ
ejpam-48	175	7	this	this	PRON
ejpam-48	175	8	may	may	AUX
ejpam-48	175	9	“	"	PUNCT
ejpam-48	175	10	blur	blur	VERB
ejpam-48	175	11	”	"	PUNCT
ejpam-48	175	12	the	the	DET
ejpam-48	175	13	distinction	distinction	NOUN
ejpam-48	175	14	between	between	ADP
ejpam-48	175	15	potential	potential	ADJ
ejpam-48	175	16	and	and	CCONJ
ejpam-48	175	17	actual	actual	ADJ
ejpam-48	175	18	infinity	infinity	NOUN
ejpam-48	175	19	.	.	PUNCT
ejpam-48	176	1	in	in	ADP
ejpam-48	176	2	a	a	DET
ejpam-48	176	3	questionnaire	questionnaire	NOUN
ejpam-48	176	4	administered	administer	VERB
ejpam-48	176	5	to	to	ADP
ejpam-48	176	6	42	42	NUM
ejpam-48	176	7	university	university	NOUN
ejpam-48	176	8	students	student	NOUN
ejpam-48	176	9	,	,	PUNCT
ejpam-48	176	10	all	all	PRON
ejpam-48	176	11	claimed	claim	VERB
ejpam-48	176	12	to	to	PART
ejpam-48	176	13	see	see	VERB
ejpam-48	176	14	the	the	DET
ejpam-48	176	15	natural	natural	ADJ
ejpam-48	176	16	numbers	number	NOUN
ejpam-48	176	17	as	as	ADP
ejpam-48	176	18	a	a	DET
ejpam-48	176	19	“	"	PUNCT
ejpam-48	176	20	coherent	coherent	ADJ
ejpam-48	176	21	mathematical	mathematical	ADJ
ejpam-48	176	22	idea	idea	NOUN
ejpam-48	176	23	.	.	PUNCT
ejpam-48	176	24	”	"	PUNCT
ejpam-48	177	1	yet	yet	ADV
ejpam-48	177	2	,	,	PUNCT
ejpam-48	177	3	tall	tall	ADJ
ejpam-48	177	4	reported	report	VERB
ejpam-48	177	5	that	that	SCONJ
ejpam-48	177	6	many	many	ADJ
ejpam-48	177	7	students	student	NOUN
ejpam-48	177	8	only	only	ADV
ejpam-48	177	9	see	see	VERB
ejpam-48	177	10	actual	actual	ADJ
ejpam-48	177	11	infinity	infinity	NOUN
ejpam-48	177	12	as	as	ADP
ejpam-48	177	13	a	a	DET
ejpam-48	177	14	“	"	PUNCT
ejpam-48	177	15	mathematical	mathematical	ADJ
ejpam-48	177	16	fiction	fiction	NOUN
ejpam-48	177	17	,	,	PUNCT
ejpam-48	177	18	”	"	PUNCT
ejpam-48	177	19	while	while	SCONJ
ejpam-48	177	20	potential	potential	ADJ
ejpam-48	177	21	infinity	infinity	NOUN
ejpam-48	177	22	is	be	AUX
ejpam-48	177	23	viewed	view	VERB
ejpam-48	177	24	as	as	ADP
ejpam-48	177	25	“	"	PUNCT
ejpam-48	177	26	reality	reality	NOUN
ejpam-48	177	27	.	.	PUNCT
ejpam-48	177	28	”	"	PUNCT
ejpam-48	178	1	so	so	ADV
ejpam-48	178	2	,	,	PUNCT
ejpam-48	178	3	while	while	SCONJ
ejpam-48	178	4	students	student	NOUN
ejpam-48	178	5	may	may	AUX
ejpam-48	178	6	in	in	ADP
ejpam-48	178	7	some	some	DET
ejpam-48	178	8	instances	instance	NOUN
ejpam-48	178	9	see	see	VERB
ejpam-48	178	10	the	the	DET
ejpam-48	178	11	set	set	NOUN
ejpam-48	178	12	of	of	ADP
ejpam-48	178	13	natural	natural	ADJ
ejpam-48	178	14	numbers	number	NOUN
ejpam-48	178	15	as	as	ADP
ejpam-48	178	16	a	a	DET
ejpam-48	178	17	“	"	PUNCT
ejpam-48	178	18	coherent	coherent	ADJ
ejpam-48	178	19	mathematical	mathematical	ADJ
ejpam-48	178	20	idea	idea	NOUN
ejpam-48	178	21	,	,	PUNCT
ejpam-48	178	22	”	"	PUNCT
ejpam-48	178	23	they	they	PRON
ejpam-48	178	24	may	may	AUX
ejpam-48	178	25	not	not	PART
ejpam-48	178	26	always	always	ADV
ejpam-48	178	27	seenas	seenas	VERB
ejpam-48	178	28	a	a	DET
ejpam-48	178	29	static	static	ADJ
ejpam-48	178	30	entity	entity	NOUN
ejpam-48	178	31	.	.	PUNCT
ejpam-48	179	1	as	as	ADP
ejpam-48	179	2	tall	tall	ADJ
ejpam-48	179	3	notes	note	NOUN
ejpam-48	179	4	,	,	PUNCT
ejpam-48	179	5	“	"	PUNCT
ejpam-48	179	6	university	university	NOUN
ejpam-48	179	7	students	student	NOUN
ejpam-48	179	8	go	go	VERB
ejpam-48	179	9	through	through	ADP
ejpam-48	179	10	a	a	DET
ejpam-48	179	11	stage	stage	NOUN
ejpam-48	179	12	where	where	SCONJ
ejpam-48	179	13	they	they	PRON
ejpam-48	179	14	accept	accept	VERB
ejpam-48	179	15	the	the	DET
ejpam-48	179	16	actual	actual	ADJ
ejpam-48	179	17	infinity	infinity	NOUN
ejpam-48	179	18	of	of	ADP
ejpam-48	179	19	a	a	DET
ejpam-48	179	20	set	set	NOUN
ejpam-48	179	21	but	but	CCONJ
ejpam-48	179	22	only	only	ADV
ejpam-48	179	23	the	the	DET
ejpam-48	179	24	potential	potential	ADJ
ejpam-48	179	25	infinity	infinity	NOUN
ejpam-48	179	26	of	of	ADP
ejpam-48	179	27	a	a	DET
ejpam-48	179	28	process	process	NOUN
ejpam-48	179	29	”	"	PUNCT
ejpam-48	179	30	(	(	PUNCT
ejpam-48	179	31	p.7	p.7	NOUN
ejpam-48	179	32	)	)	PUNCT
ejpam-48	179	33	.	.	PUNCT
ejpam-48	180	1	infinite	infinite	ADJ
ejpam-48	180	2	processes	process	NOUN
ejpam-48	180	3	do	do	AUX
ejpam-48	180	4	not	not	PART
ejpam-48	180	5	possess	possess	VERB
ejpam-48	180	6	final	final	ADJ
ejpam-48	180	7	steps	step	NOUN
ejpam-48	180	8	nor	nor	CCONJ
ejpam-48	180	9	do	do	AUX
ejpam-48	180	10	they	they	PRON
ejpam-48	180	11	yield	yield	VERB
ejpam-48	180	12	final	final	ADJ
ejpam-48	180	13	objects	object	NOUN
ejpam-48	180	14	.	.	PUNCT
ejpam-48	181	1	hence	hence	ADV
ejpam-48	181	2	,	,	PUNCT
ejpam-48	181	3	actual	actual	ADJ
ejpam-48	181	4	infinity	infinity	NOUN
ejpam-48	181	5	can	can	AUX
ejpam-48	181	6	not	not	PART
ejpam-48	181	7	be	be	AUX
ejpam-48	181	8	obtained	obtain	VERB
ejpam-48	181	9	by	by	ADP
ejpam-48	181	10	completing	complete	VERB
ejpam-48	181	11	a	a	DET
ejpam-48	181	12	last	last	ADJ
ejpam-48	181	13	step	step	NOUN
ejpam-48	181	14	;	;	PUNCT
ejpam-48	181	15	instead	instead	ADV
ejpam-48	181	16	,	,	PUNCT
ejpam-48	181	17	it	it	PRON
ejpam-48	181	18	arises	arise	VERB
ejpam-48	181	19	by	by	ADP
ejpam-48	181	20	determining	determine	VERB
ejpam-48	181	21	the	the	DET
ejpam-48	181	22	“	"	PUNCT
ejpam-48	181	23	ultimate	ultimate	ADJ
ejpam-48	181	24	”	"	PUNCT
ejpam-48	181	25	result	result	NOUN
ejpam-48	181	26	of	of	ADP
ejpam-48	181	27	an	an	DET
ejpam-48	181	28	infinite	infinite	ADJ
ejpam-48	181	29	process	process	NOUN
ejpam-48	181	30	.	.	PUNCT
ejpam-48	182	1	mamona	mamona	NOUN
ejpam-48	182	2	-	-	PUNCT
ejpam-48	182	3	downs	down	NOUN
ejpam-48	183	1	[	[	X
ejpam-48	183	2	16	16	NUM
ejpam-48	183	3	]	]	PUNCT
ejpam-48	183	4	considered	consider	VERB
ejpam-48	183	5	the	the	DET
ejpam-48	183	6	notion	notion	NOUN
ejpam-48	183	7	of	of	ADP
ejpam-48	183	8	“	"	PUNCT
ejpam-48	183	9	ultimate	ultimate	ADJ
ejpam-48	183	10	”	"	PUNCT
ejpam-48	183	11	results	result	NOUN
ejpam-48	183	12	in	in	ADP
ejpam-48	183	13	the	the	DET
ejpam-48	183	14	context	context	NOUN
ejpam-48	183	15	of	of	ADP
ejpam-48	183	16	a	a	DET
ejpam-48	183	17	ping	ping	NOUN
ejpam-48	183	18	-	-	PUNCT
ejpam-48	183	19	pong	pong	NOUN
ejpam-48	183	20	ball	ball	NOUN
ejpam-48	183	21	dropped	drop	VERB
ejpam-48	183	22	onto	onto	ADP
ejpam-48	183	23	a	a	DET
ejpam-48	183	24	level	level	NOUN
ejpam-48	183	25	surface	surface	NOUN
ejpam-48	183	26	.	.	PUNCT
ejpam-48	184	1	assuming	assume	VERB
ejpam-48	184	2	an	an	DET
ejpam-48	184	3	infinite	infinite	ADJ
ejpam-48	184	4	number	number	NOUN
ejpam-48	184	5	of	of	ADP
ejpam-48	184	6	bounces	bounce	NOUN
ejpam-48	184	7	,	,	PUNCT
ejpam-48	184	8	at	at	ADP
ejpam-48	184	9	least	least	ADJ
ejpam-48	184	10	theoretically	theoretically	ADV
ejpam-48	184	11	,	,	PUNCT
ejpam-48	184	12	with	with	ADP
ejpam-48	184	13	each	each	DET
ejpam-48	184	14	bounce	bounce	NOUN
ejpam-48	184	15	attaining	attain	VERB
ejpam-48	184	16	half	half	DET
ejpam-48	184	17	the	the	DET
ejpam-48	184	18	height	height	NOUN
ejpam-48	184	19	of	of	ADP
ejpam-48	184	20	the	the	DET
ejpam-48	184	21	previous	previous	ADJ
ejpam-48	184	22	bounce	bounce	NOUN
ejpam-48	184	23	,	,	PUNCT
ejpam-48	184	24	mamona	mamona	NOUN
ejpam-48	184	25	-	-	PUNCT
ejpam-48	184	26	downs	down	NOUN
ejpam-48	185	1	[	[	X
ejpam-48	185	2	16	16	NUM
ejpam-48	185	3	]	]	PUNCT
ejpam-48	185	4	speculated	speculate	VERB
ejpam-48	185	5	that	that	SCONJ
ejpam-48	185	6	“	"	PUNCT
ejpam-48	185	7	it	it	PRON
ejpam-48	185	8	is	be	AUX
ejpam-48	185	9	natural	natural	ADJ
ejpam-48	185	10	to	to	PART
ejpam-48	185	11	feel	feel	VERB
ejpam-48	185	12	that	that	SCONJ
ejpam-48	185	13	your	your	PRON
ejpam-48	185	14	activity	activity	NOUN
ejpam-48	185	15	is	be	AUX
ejpam-48	185	16	bringing	bring	VERB
ejpam-48	185	17	you	you	PRON
ejpam-48	185	18	closer	close	ADV
ejpam-48	185	19	to	to	ADP
ejpam-48	185	20	an	an	DET
ejpam-48	185	21	ultimate	ultimate	ADJ
ejpam-48	185	22	ending	ending	NOUN
ejpam-48	185	23	”	"	PUNCT
ejpam-48	185	24	(	(	PUNCT
ejpam-48	185	25	p.268	p.268	NOUN
ejpam-48	185	26	)	)	PUNCT
ejpam-48	185	27	.	.	PUNCT
ejpam-48	186	1	she	she	PRON
ejpam-48	186	2	theorized	theorize	VERB
ejpam-48	186	3	that	that	SCONJ
ejpam-48	186	4	students	student	NOUN
ejpam-48	186	5	view	view	VERB
ejpam-48	186	6	infinity	infinity	NOUN
ejpam-48	186	7	as	as	ADP
ejpam-48	186	8	e.	e.	PROPN
ejpam-48	186	9	dubinsky	dubinsky	PROPN
ejpam-48	186	10	et	et	PROPN
ejpam-48	186	11	al	al	PROPN
ejpam-48	186	12	.	.	PUNCT
ejpam-48	186	13	/	/	SYM
ejpam-48	186	14	eur	eur	PROPN
ejpam-48	186	15	.	.	PUNCT
ejpam-48	187	1	j.	j.	PROPN
ejpam-48	187	2	pure	pure	PROPN
ejpam-48	187	3	.	.	PUNCT
ejpam-48	188	1	appl	appl	PROPN
ejpam-48	188	2	.	.	PUNCT
ejpam-48	188	3	math	math	NOUN
ejpam-48	188	4	.	.	PUNCT
ejpam-48	189	1	1	1	NUM
ejpam-48	189	2	,	,	PUNCT
ejpam-48	189	3	(	(	PUNCT
ejpam-48	189	4	2008	2008	NUM
ejpam-48	189	5	)	)	PUNCT
ejpam-48	189	6	,	,	PUNCT
ejpam-48	189	7	(	(	PUNCT
ejpam-48	189	8	99	99	NUM
ejpam-48	189	9	-	-	SYM
ejpam-48	189	10	121	121	NUM
ejpam-48	189	11	)	)	PUNCT
ejpam-48	189	12	105	105	NUM
ejpam-48	189	13	“	"	PUNCT
ejpam-48	189	14	the	the	DET
ejpam-48	189	15	number	number	NOUN
ejpam-48	189	16	you	you	PRON
ejpam-48	189	17	get	get	VERB
ejpam-48	189	18	if	if	SCONJ
ejpam-48	189	19	you	you	PRON
ejpam-48	189	20	count	count	VERB
ejpam-48	189	21	forever	forever	ADV
ejpam-48	189	22	…	…	PUNCT
ejpam-48	189	23	the	the	DET
ejpam-48	189	24	greatest	great	ADJ
ejpam-48	189	25	natural	natural	ADJ
ejpam-48	189	26	integer	integer	NOUN
ejpam-48	189	27	.	.	PUNCT
ejpam-48	189	28	”	"	PUNCT
ejpam-48	190	1	this	this	PRON
ejpam-48	190	2	leads	lead	VERB
ejpam-48	190	3	to	to	ADP
ejpam-48	190	4	the	the	DET
ejpam-48	190	5	notion	notion	NOUN
ejpam-48	190	6	of	of	ADP
ejpam-48	190	7	an	an	DET
ejpam-48	190	8	infinite	infinite	ADJ
ejpam-48	190	9	sequence	sequence	NOUN
ejpam-48	190	10	na	na	NOUN
ejpam-48	190	11	as	as	ADP
ejpam-48	190	12	possessing	possess	VERB
ejpam-48	190	13	a	a	DET
ejpam-48	190	14	final	final	ADJ
ejpam-48	190	15	term	term	NOUN
ejpam-48	190	16	∞a	∞a	NOUN
ejpam-48	190	17	,	,	PUNCT
ejpam-48	190	18	where	where	SCONJ
ejpam-48	190	19	“	"	PUNCT
ejpam-48	190	20	the	the	DET
ejpam-48	190	21	limit	limit	NOUN
ejpam-48	190	22	tends	tend	VERB
ejpam-48	190	23	to	to	PART
ejpam-48	190	24	be	be	AUX
ejpam-48	190	25	considered	consider	VERB
ejpam-48	190	26	an	an	DET
ejpam-48	190	27	integral	integral	ADJ
ejpam-48	190	28	part	part	NOUN
ejpam-48	190	29	of	of	ADP
ejpam-48	190	30	the	the	DET
ejpam-48	190	31	sequence	sequence	NOUN
ejpam-48	190	32	”	"	PUNCT
ejpam-48	190	33	(	(	PUNCT
ejpam-48	190	34	p.268	p.268	NOUN
ejpam-48	190	35	)	)	PUNCT
ejpam-48	190	36	.	.	PUNCT
ejpam-48	191	1	using	use	VERB
ejpam-48	191	2	their	their	PRON
ejpam-48	191	3	method	method	NOUN
ejpam-48	191	4	of	of	ADP
ejpam-48	191	5	mathematical	mathematical	ADJ
ejpam-48	191	6	idea	idea	NOUN
ejpam-48	191	7	analysis	analysis	NOUN
ejpam-48	191	8	,	,	PUNCT
ejpam-48	191	9	lakoff	lakoff	NOUN
ejpam-48	191	10	and	and	CCONJ
ejpam-48	191	11	núñez	núñez	VERB
ejpam-48	192	1	[	[	X
ejpam-48	192	2	1	1	X
ejpam-48	192	3	]	]	PUNCT
ejpam-48	192	4	also	also	ADV
ejpam-48	192	5	considered	consider	VERB
ejpam-48	192	6	the	the	DET
ejpam-48	192	7	issue	issue	NOUN
ejpam-48	192	8	of	of	ADP
ejpam-48	192	9	final	final	ADJ
ejpam-48	192	10	objects	object	NOUN
ejpam-48	192	11	arising	arise	VERB
ejpam-48	192	12	from	from	ADP
ejpam-48	192	13	infinite	infinite	ADJ
ejpam-48	192	14	processes	process	NOUN
ejpam-48	192	15	.	.	PUNCT
ejpam-48	193	1	they	they	PRON
ejpam-48	193	2	maintain	maintain	VERB
ejpam-48	193	3	that	that	SCONJ
ejpam-48	193	4	our	our	PRON
ejpam-48	193	5	understanding	understanding	NOUN
ejpam-48	193	6	of	of	ADP
ejpam-48	193	7	mathematical	mathematical	ADJ
ejpam-48	193	8	notions	notion	NOUN
ejpam-48	193	9	of	of	ADP
ejpam-48	193	10	infinity	infinity	NOUN
ejpam-48	193	11	,	,	PUNCT
ejpam-48	193	12	such	such	ADJ
ejpam-48	193	13	as	as	ADP
ejpam-48	193	14	points	point	NOUN
ejpam-48	193	15	at	at	ADP
ejpam-48	193	16	infinity	infinity	NOUN
ejpam-48	193	17	,	,	PUNCT
ejpam-48	193	18	infinite	infinite	ADJ
ejpam-48	193	19	sets	set	NOUN
ejpam-48	193	20	,	,	PUNCT
ejpam-48	193	21	mathematical	mathematical	ADJ
ejpam-48	193	22	induction	induction	NOUN
ejpam-48	193	23	,	,	PUNCT
ejpam-48	193	24	infinite	infinite	ADJ
ejpam-48	193	25	decimals	decimal	NOUN
ejpam-48	193	26	,	,	PUNCT
ejpam-48	193	27	limits	limit	NOUN
ejpam-48	193	28	,	,	PUNCT
ejpam-48	193	29	transfinite	transfinite	ADJ
ejpam-48	193	30	numbers	number	NOUN
ejpam-48	193	31	,	,	PUNCT
ejpam-48	193	32	and	and	CCONJ
ejpam-48	193	33	infinitesimals	infinitesimal	NOUN
ejpam-48	193	34	,	,	PUNCT
ejpam-48	193	35	is	be	AUX
ejpam-48	193	36	based	base	VERB
ejpam-48	193	37	on	on	ADP
ejpam-48	193	38	the	the	DET
ejpam-48	193	39	establishment	establishment	NOUN
ejpam-48	193	40	of	of	ADP
ejpam-48	193	41	a	a	DET
ejpam-48	193	42	conceptual	conceptual	ADJ
ejpam-48	193	43	metaphor	metaphor	NOUN
ejpam-48	193	44	called	call	VERB
ejpam-48	193	45	the	the	DET
ejpam-48	193	46	basic	basic	ADJ
ejpam-48	193	47	metaphor	metaphor	NOUN
ejpam-48	193	48	of	of	ADP
ejpam-48	193	49	infinity	infinity	NOUN
ejpam-48	193	50	(	(	PUNCT
ejpam-48	193	51	bmi	bmi	PROPN
ejpam-48	193	52	)	)	PUNCT
ejpam-48	193	53	that	that	PRON
ejpam-48	193	54	links	link	VERB
ejpam-48	193	55	the	the	DET
ejpam-48	193	56	target	target	NOUN
ejpam-48	193	57	domain	domain	NOUN
ejpam-48	193	58	of	of	ADP
ejpam-48	193	59	processes	process	NOUN
ejpam-48	193	60	that	that	PRON
ejpam-48	193	61	go	go	VERB
ejpam-48	193	62	on	on	ADP
ejpam-48	193	63	and	and	CCONJ
ejpam-48	193	64	on	on	ADP
ejpam-48	193	65	with	with	ADP
ejpam-48	193	66	the	the	DET
ejpam-48	193	67	source	source	NOUN
ejpam-48	193	68	domain	domain	NOUN
ejpam-48	193	69	of	of	ADP
ejpam-48	193	70	completed	complete	VERB
ejpam-48	193	71	finite	finite	ADJ
ejpam-48	193	72	iterative	iterative	NOUN
ejpam-48	193	73	processes	process	NOUN
ejpam-48	193	74	.	.	PUNCT
ejpam-48	194	1	lakoff	lakoff	NOUN
ejpam-48	194	2	and	and	CCONJ
ejpam-48	194	3	núñez	núñez	PROPN
ejpam-48	194	4	(	(	PUNCT
ejpam-48	194	5	p.158	p.158	NOUN
ejpam-48	194	6	)	)	PUNCT
ejpam-48	194	7	argue	argue	VERB
ejpam-48	194	8	that	that	SCONJ
ejpam-48	194	9	the	the	DET
ejpam-48	194	10	mechanism	mechanism	NOUN
ejpam-48	194	11	of	of	ADP
ejpam-48	194	12	conceptual	conceptual	ADJ
ejpam-48	194	13	metaphor	metaphor	NOUN
ejpam-48	194	14	enables	enable	VERB
ejpam-48	194	15	an	an	DET
ejpam-48	194	16	individual	individual	NOUN
ejpam-48	194	17	to	to	PART
ejpam-48	194	18	conceptualize	conceptualize	VERB
ejpam-48	194	19	the	the	DET
ejpam-48	194	20	“	"	PUNCT
ejpam-48	194	21	result	result	NOUN
ejpam-48	194	22	”	"	PUNCT
ejpam-48	194	23	of	of	ADP
ejpam-48	194	24	an	an	DET
ejpam-48	194	25	infinite	infinite	ADJ
ejpam-48	194	26	process	process	NOUN
ejpam-48	194	27	,	,	PUNCT
ejpam-48	194	28	the	the	DET
ejpam-48	194	29	state	state	NOUN
ejpam-48	194	30	at	at	ADP
ejpam-48	194	31	infinity	infinity	NOUN
ejpam-48	194	32	,	,	PUNCT
ejpam-48	194	33	in	in	ADP
ejpam-48	194	34	terms	term	NOUN
ejpam-48	194	35	of	of	ADP
ejpam-48	194	36	a	a	DET
ejpam-48	194	37	process	process	NOUN
ejpam-48	194	38	that	that	PRON
ejpam-48	194	39	does	do	AUX
ejpam-48	194	40	have	have	VERB
ejpam-48	194	41	an	an	DET
ejpam-48	194	42	end	end	NOUN
ejpam-48	194	43	.	.	PUNCT
ejpam-48	195	1	thus	thus	ADV
ejpam-48	195	2	,	,	PUNCT
ejpam-48	195	3	the	the	DET
ejpam-48	195	4	crucial	crucial	ADJ
ejpam-48	195	5	effect	effect	NOUN
ejpam-48	195	6	of	of	ADP
ejpam-48	195	7	the	the	DET
ejpam-48	195	8	bmi	bmi	NOUN
ejpam-48	195	9	is	be	AUX
ejpam-48	195	10	to	to	PART
ejpam-48	195	11	add	add	VERB
ejpam-48	195	12	to	to	ADP
ejpam-48	195	13	the	the	DET
ejpam-48	195	14	target	target	NOUN
ejpam-48	195	15	domain	domain	NOUN
ejpam-48	195	16	,	,	PUNCT
ejpam-48	195	17	iterative	iterative	NOUN
ejpam-48	195	18	processes	process	NOUN
ejpam-48	195	19	that	that	PRON
ejpam-48	195	20	go	go	VERB
ejpam-48	195	21	on	on	ADP
ejpam-48	195	22	and	and	CCONJ
ejpam-48	195	23	on	on	ADV
ejpam-48	195	24	,	,	PUNCT
ejpam-48	195	25	the	the	DET
ejpam-48	195	26	completion	completion	NOUN
ejpam-48	195	27	of	of	ADP
ejpam-48	195	28	the	the	DET
ejpam-48	195	29	process	process	NOUN
ejpam-48	195	30	and	and	CCONJ
ejpam-48	195	31	a	a	DET
ejpam-48	195	32	final	final	ADJ
ejpam-48	195	33	resultant	resultant	NOUN
ejpam-48	195	34	state	state	NOUN
ejpam-48	195	35	.	.	PUNCT
ejpam-48	196	1	this	this	DET
ejpam-48	196	2	metaphorical	metaphorical	ADJ
ejpam-48	196	3	final	final	ADJ
ejpam-48	196	4	result	result	NOUN
ejpam-48	196	5	,	,	PUNCT
ejpam-48	196	6	the	the	DET
ejpam-48	196	7	state	state	NOUN
ejpam-48	196	8	at	at	ADP
ejpam-48	196	9	infinity	infinity	NOUN
ejpam-48	196	10	,	,	PUNCT
ejpam-48	196	11	may	may	AUX
ejpam-48	196	12	then	then	ADV
ejpam-48	196	13	be	be	AUX
ejpam-48	196	14	perceived	perceive	VERB
ejpam-48	196	15	as	as	ADP
ejpam-48	196	16	an	an	DET
ejpam-48	196	17	instance	instance	NOUN
ejpam-48	196	18	of	of	ADP
ejpam-48	196	19	actual	actual	ADJ
ejpam-48	196	20	infinity	infinity	NOUN
ejpam-48	196	21	.	.	PUNCT
ejpam-48	197	1	for	for	ADP
ejpam-48	197	2	instance	instance	NOUN
ejpam-48	197	3	,	,	PUNCT
ejpam-48	197	4	enumeration	enumeration	NOUN
ejpam-48	197	5	ofnstarts	ofnstart	NOUN
ejpam-48	197	6	with	with	ADP
ejpam-48	197	7	the	the	DET
ejpam-48	197	8	integer	integer	NOUN
ejpam-48	197	9	1	1	NUM
ejpam-48	197	10	.	.	PUNCT
ejpam-48	198	1	this	this	PRON
ejpam-48	198	2	is	be	AUX
ejpam-48	198	3	followed	follow	VERB
ejpam-48	198	4	by	by	ADP
ejpam-48	198	5	repeatedly	repeatedly	ADV
ejpam-48	198	6	invoking	invoke	VERB
ejpam-48	198	7	a	a	DET
ejpam-48	198	8	process	process	NOUN
ejpam-48	198	9	of	of	ADP
ejpam-48	198	10	adding	add	VERB
ejpam-48	198	11	1	1	NUM
ejpam-48	198	12	to	to	PART
ejpam-48	198	13	obtain	obtain	VERB
ejpam-48	198	14	the	the	DET
ejpam-48	198	15	next	next	ADJ
ejpam-48	198	16	natural	natural	ADJ
ejpam-48	198	17	number	number	NOUN
ejpam-48	198	18	,	,	PUNCT
ejpam-48	198	19	leading	lead	VERB
ejpam-48	198	20	to	to	ADP
ejpam-48	198	21	a	a	DET
ejpam-48	198	22	sequence	sequence	NOUN
ejpam-48	198	23	of	of	ADP
ejpam-48	198	24	intermediate	intermediate	ADJ
ejpam-48	198	25	states	state	NOUN
ejpam-48	198	26	1	1	NUM
ejpam-48	198	27	,	,	PUNCT
ejpam-48	198	28	2	2	NUM
ejpam-48	198	29	,	,	PUNCT
ejpam-48	198	30	3	3	NUM
ejpam-48	198	31	,	,	PUNCT
ejpam-48	198	32	…	…	PUNCT
ejpam-48	198	33	,	,	PUNCT
ejpam-48	198	34	n	n	X
ejpam-48	198	35	for	for	ADP
ejpam-48	198	36	each	each	DET
ejpam-48	198	37	stepn	stepn	NOUN
ejpam-48	198	38	.	.	PUNCT
ejpam-48	199	1	an	an	DET
ejpam-48	199	2	individual	individual	NOUN
ejpam-48	199	3	metaphorically	metaphorically	ADV
ejpam-48	199	4	completes	complete	VERB
ejpam-48	199	5	the	the	DET
ejpam-48	199	6	process	process	NOUN
ejpam-48	199	7	by	by	ADP
ejpam-48	199	8	adding	add	VERB
ejpam-48	199	9	an	an	DET
ejpam-48	199	10	infinite	infinite	ADJ
ejpam-48	199	11	extremity	extremity	NOUN
ejpam-48	199	12	,	,	PUNCT
ejpam-48	199	13	denoted	denote	VERB
ejpam-48	199	14	∞	∞	PROPN
ejpam-48	199	15	(	(	PUNCT
ejpam-48	199	16	p.175	p.175	NOUN
ejpam-48	199	17	)	)	PUNCT
ejpam-48	199	18	.	.	PUNCT
ejpam-48	200	1	lakoff	lakoff	PROPN
ejpam-48	200	2	and	and	CCONJ
ejpam-48	200	3	núñez	núñez	PROPN
ejpam-48	200	4	note	note	VERB
ejpam-48	200	5	that	that	SCONJ
ejpam-48	200	6	“	"	PUNCT
ejpam-48	200	7	∞	∞	PROPN
ejpam-48	200	8	as	as	ADP
ejpam-48	200	9	the	the	DET
ejpam-48	200	10	extreme	extreme	ADJ
ejpam-48	200	11	natural	natural	ADJ
ejpam-48	200	12	number	number	NOUN
ejpam-48	200	13	is	be	AUX
ejpam-48	200	14	commonly	commonly	ADV
ejpam-48	200	15	used	use	VERB
ejpam-48	200	16	with	with	ADP
ejpam-48	200	17	the	the	DET
ejpam-48	200	18	explicit	explicit	ADJ
ejpam-48	200	19	or	or	CCONJ
ejpam-48	200	20	implicit	implicit	ADJ
ejpam-48	200	21	sequence	sequence	NOUN
ejpam-48	200	22	‘	'	PUNCT
ejpam-48	200	23	1	1	NUM
ejpam-48	200	24	,	,	PUNCT
ejpam-48	200	25	2	2	NUM
ejpam-48	200	26	,	,	PUNCT
ejpam-48	200	27	3	3	NUM
ejpam-48	200	28	,	,	PUNCT
ejpam-48	200	29	…	…	PUNCT
ejpam-48	200	30	,	,	PUNCT
ejpam-48	200	31	∞	∞	PROPN
ejpam-48	200	32	’	'	PUNCT
ejpam-48	200	33	in	in	ADP
ejpam-48	200	34	the	the	DET
ejpam-48	200	35	characterization	characterization	NOUN
ejpam-48	200	36	of	of	ADP
ejpam-48	200	37	infinite	infinite	ADJ
ejpam-48	200	38	processes	process	NOUN
ejpam-48	200	39	”	"	PUNCT
ejpam-48	200	40	(	(	PUNCT
ejpam-48	200	41	p.166	p.166	NOUN
ejpam-48	200	42	)	)	PUNCT
ejpam-48	200	43	.	.	PUNCT
ejpam-48	201	1	thus	thus	ADV
ejpam-48	201	2	,	,	PUNCT
ejpam-48	201	3	each	each	DET
ejpam-48	201	4	instance	instance	NOUN
ejpam-48	201	5	of	of	ADP
ejpam-48	201	6	the	the	DET
ejpam-48	201	7	bmi	bmi	NOUN
ejpam-48	201	8	is	be	AUX
ejpam-48	201	9	closely	closely	ADV
ejpam-48	201	10	tied	tie	VERB
ejpam-48	201	11	with	with	ADP
ejpam-48	201	12	iteration	iteration	NOUN
ejpam-48	201	13	throughn	throughn	NOUN
ejpam-48	201	14	.	.	PUNCT
ejpam-48	202	1	lakoff	lakoff	PROPN
ejpam-48	202	2	and	and	CCONJ
ejpam-48	202	3	núñez	núñez	NOUN
ejpam-48	202	4	’	'	PUNCT
ejpam-48	202	5	characterization	characterization	NOUN
ejpam-48	202	6	of	of	ADP
ejpam-48	202	7	iteration	iteration	NOUN
ejpam-48	202	8	throughnshares	throughnshare	NOUN
ejpam-48	202	9	similarities	similarity	NOUN
ejpam-48	202	10	with	with	ADP
ejpam-48	202	11	the	the	DET
ejpam-48	202	12	description	description	NOUN
ejpam-48	202	13	offered	offer	VERB
ejpam-48	202	14	by	by	ADP
ejpam-48	202	15	brown	brown	PROPN
ejpam-48	202	16	et	et	PROPN
ejpam-48	202	17	al	al	PROPN
ejpam-48	202	18	.	.	PUNCT
ejpam-48	203	1	[	[	X
ejpam-48	203	2	4	4	NUM
ejpam-48	203	3	]	]	PUNCT
ejpam-48	203	4	.	.	PUNCT
ejpam-48	204	1	according	accord	VERB
ejpam-48	204	2	to	to	ADP
ejpam-48	204	3	apos	apos	PROPN
ejpam-48	204	4	theory	theory	NOUN
ejpam-48	204	5	,	,	PUNCT
ejpam-48	204	6	the	the	DET
ejpam-48	204	7	transition	transition	NOUN
ejpam-48	204	8	occurs	occur	VERB
ejpam-48	204	9	by	by	ADP
ejpam-48	204	10	application	application	NOUN
ejpam-48	204	11	of	of	ADP
ejpam-48	204	12	the	the	DET
ejpam-48	204	13	mental	mental	ADJ
ejpam-48	204	14	mechanisms	mechanism	NOUN
ejpam-48	204	15	of	of	ADP
ejpam-48	204	16	interiorization	interiorization	NOUN
ejpam-48	204	17	and	and	CCONJ
ejpam-48	204	18	coordination	coordination	NOUN
ejpam-48	204	19	.	.	PUNCT
ejpam-48	205	1	specifically	specifically	ADV
ejpam-48	205	2	,	,	PUNCT
ejpam-48	205	3	the	the	DET
ejpam-48	205	4	actions	action	NOUN
ejpam-48	205	5	of	of	ADP
ejpam-48	205	6	performing	perform	VERB
ejpam-48	205	7	the	the	DET
ejpam-48	205	8	first	first	ADJ
ejpam-48	205	9	few	few	ADJ
ejpam-48	205	10	steps	step	NOUN
ejpam-48	205	11	are	be	AUX
ejpam-48	205	12	interiorized	interiorize	VERB
ejpam-48	205	13	into	into	ADP
ejpam-48	205	14	a	a	DET
ejpam-48	205	15	mental	mental	ADJ
ejpam-48	205	16	process	process	NOUN
ejpam-48	205	17	,	,	PUNCT
ejpam-48	205	18	and	and	CCONJ
ejpam-48	205	19	then	then	ADV
ejpam-48	205	20	multiple	multiple	ADJ
ejpam-48	205	21	instantiations	instantiation	NOUN
ejpam-48	205	22	of	of	ADP
ejpam-48	205	23	that	that	DET
ejpam-48	205	24	process	process	NOUN
ejpam-48	205	25	(	(	PUNCT
ejpam-48	205	26	with	with	ADP
ejpam-48	205	27	different	different	ADJ
ejpam-48	205	28	initial	initial	ADJ
ejpam-48	205	29	and	and	CCONJ
ejpam-48	205	30	terminal	terminal	ADJ
ejpam-48	205	31	points	point	NOUN
ejpam-48	205	32	)	)	PUNCT
ejpam-48	205	33	are	be	AUX
ejpam-48	205	34	coordinated	coordinate	VERB
ejpam-48	205	35	to	to	PART
ejpam-48	205	36	form	form	VERB
ejpam-48	205	37	an	an	DET
ejpam-48	205	38	infinite	infinite	ADJ
ejpam-48	205	39	iterative	iterative	NOUN
ejpam-48	205	40	process	process	NOUN
ejpam-48	205	41	.	.	PUNCT
ejpam-48	206	1	according	accord	VERB
ejpam-48	206	2	to	to	ADP
ejpam-48	206	3	lakoff	lakoff	NOUN
ejpam-48	206	4	and	and	CCONJ
ejpam-48	206	5	núñez	núñez	PROPN
ejpam-48	206	6	,	,	PUNCT
ejpam-48	206	7	the	the	DET
ejpam-48	206	8	mental	mental	ADJ
ejpam-48	206	9	mechanism	mechanism	NOUN
ejpam-48	206	10	of	of	ADP
ejpam-48	206	11	the	the	DET
ejpam-48	206	12	bmi	bmi	NOUN
ejpam-48	206	13	faciliates	faciliate	VERB
ejpam-48	206	14	the	the	DET
ejpam-48	206	15	transition	transition	NOUN
ejpam-48	206	16	.	.	PUNCT
ejpam-48	207	1	after	after	ADP
ejpam-48	207	2	construction	construction	NOUN
ejpam-48	207	3	of	of	ADP
ejpam-48	207	4	the	the	DET
ejpam-48	207	5	initial	initial	ADJ
ejpam-48	207	6	state	state	NOUN
ejpam-48	207	7	,	,	PUNCT
ejpam-48	207	8	and	and	CCONJ
ejpam-48	207	9	the	the	DET
ejpam-48	207	10	first	first	ADJ
ejpam-48	207	11	step	step	NOUN
ejpam-48	207	12	arising	arise	VERB
ejpam-48	207	13	from	from	ADP
ejpam-48	207	14	the	the	DET
ejpam-48	207	15	initial	initial	ADJ
ejpam-48	207	16	state	state	NOUN
ejpam-48	207	17	,	,	PUNCT
ejpam-48	207	18	one	one	PRON
ejpam-48	207	19	constructs	construct	VERB
ejpam-48	207	20	an	an	DET
ejpam-48	207	21	infinite	infinite	ADJ
ejpam-48	207	22	process	process	NOUN
ejpam-48	207	23	that	that	PRON
ejpam-48	207	24	produces	produce	VERB
ejpam-48	207	25	any	any	DET
ejpam-48	207	26	intermediate	intermediate	ADJ
ejpam-48	207	27	state	state	NOUN
ejpam-48	207	28	from	from	ADP
ejpam-48	207	29	its	its	PRON
ejpam-48	207	30	predecessor	predecessor	NOUN
ejpam-48	207	31	.	.	PUNCT
ejpam-48	208	1	at	at	ADP
ejpam-48	208	2	this	this	DET
ejpam-48	208	3	point	point	NOUN
ejpam-48	208	4	,	,	PUNCT
ejpam-48	208	5	the	the	DET
ejpam-48	208	6	similarities	similarity	NOUN
ejpam-48	208	7	end	end	VERB
ejpam-48	208	8	.	.	PUNCT
ejpam-48	209	1	but	but	CCONJ
ejpam-48	209	2	the	the	DET
ejpam-48	209	3	distinction	distinction	NOUN
ejpam-48	209	4	is	be	AUX
ejpam-48	209	5	subtle	subtle	ADJ
ejpam-48	209	6	.	.	PUNCT
ejpam-48	210	1	in	in	ADP
ejpam-48	210	2	the	the	DET
ejpam-48	210	3	case	case	NOUN
ejpam-48	210	4	of	of	ADP
ejpam-48	210	5	the	the	DET
ejpam-48	210	6	bmi	bmi	NOUN
ejpam-48	210	7	,	,	PUNCT
ejpam-48	210	8	the	the	DET
ejpam-48	210	9	final	final	ADJ
ejpam-48	210	10	resultant	resultant	NOUN
ejpam-48	210	11	state	state	NOUN
ejpam-48	210	12	arises	arise	VERB
ejpam-48	210	13	through	through	ADP
ejpam-48	210	14	the	the	DET
ejpam-48	210	15	metaphorical	metaphorical	ADJ
ejpam-48	210	16	conceptualization	conceptualization	NOUN
ejpam-48	210	17	of	of	ADP
ejpam-48	210	18	the	the	DET
ejpam-48	210	19	infinite	infinite	ADJ
ejpam-48	210	20	process	process	NOUN
ejpam-48	210	21	in	in	ADP
ejpam-48	210	22	terms	term	NOUN
ejpam-48	210	23	of	of	ADP
ejpam-48	210	24	the	the	DET
ejpam-48	210	25	finite	finite	ADJ
ejpam-48	210	26	process	process	NOUN
ejpam-48	210	27	,	,	PUNCT
ejpam-48	210	28	specifically	specifically	ADV
ejpam-48	210	29	,	,	PUNCT
ejpam-48	210	30	an	an	DET
ejpam-48	210	31	infinite	infinite	ADJ
ejpam-48	210	32	process	process	NOUN
ejpam-48	210	33	with	with	ADP
ejpam-48	210	34	a	a	DET
ejpam-48	210	35	metaphorical	metaphorical	ADJ
ejpam-48	210	36	last	last	ADJ
ejpam-48	210	37	term	term	NOUN
ejpam-48	210	38	.	.	PUNCT
ejpam-48	211	1	in	in	ADP
ejpam-48	211	2	the	the	DET
ejpam-48	211	3	case	case	NOUN
ejpam-48	211	4	of	of	ADP
ejpam-48	211	5	apos	apos	PROPN
ejpam-48	211	6	theory	theory	NOUN
ejpam-48	211	7	,	,	PUNCT
ejpam-48	211	8	the	the	DET
ejpam-48	211	9	resultant	resultant	NOUN
ejpam-48	211	10	state	state	NOUN
ejpam-48	211	11	is	be	AUX
ejpam-48	211	12	obtained	obtain	VERB
ejpam-48	211	13	through	through	ADP
ejpam-48	211	14	encapsulation	encapsulation	NOUN
ejpam-48	211	15	,	,	PUNCT
ejpam-48	211	16	which	which	PRON
ejpam-48	211	17	occurs	occur	VERB
ejpam-48	211	18	as	as	SCONJ
ejpam-48	211	19	one	one	NUM
ejpam-48	211	20	applies	apply	VERB
ejpam-48	211	21	an	an	DET
ejpam-48	211	22	action	action	NOUN
ejpam-48	211	23	to	to	ADP
ejpam-48	211	24	the	the	DET
ejpam-48	211	25	completed	complete	VERB
ejpam-48	211	26	whole	whole	NOUN
ejpam-48	211	27	.	.	PUNCT
ejpam-48	212	1	the	the	DET
ejpam-48	212	2	intermediate	intermediate	ADJ
ejpam-48	212	3	states	state	NOUN
ejpam-48	212	4	of	of	ADP
ejpam-48	212	5	the	the	DET
ejpam-48	212	6	tennis	tennis	NOUN
ejpam-48	212	7	ball	ball	NOUN
ejpam-48	212	8	problem	problem	NOUN
ejpam-48	212	9	suggest	suggest	VERB
ejpam-48	212	10	the	the	DET
ejpam-48	212	11	application	application	NOUN
ejpam-48	212	12	of	of	ADP
ejpam-48	212	13	a	a	DET
ejpam-48	212	14	cumulative	cumulative	ADJ
ejpam-48	212	15	action	action	NOUN
ejpam-48	212	16	,	,	PUNCT
ejpam-48	212	17	that	that	ADV
ejpam-48	212	18	is	is	ADV
ejpam-48	212	19	,	,	PUNCT
ejpam-48	212	20	each	each	DET
ejpam-48	212	21	bin	bin	NOUN
ejpam-48	212	22	increases	increase	VERB
ejpam-48	212	23	by	by	ADP
ejpam-48	212	24	one	one	NUM
ejpam-48	212	25	in	in	ADP
ejpam-48	212	26	size	size	NOUN
ejpam-48	212	27	,	,	PUNCT
ejpam-48	212	28	with	with	ADP
ejpam-48	212	29	a	a	DET
ejpam-48	212	30	result	result	NOUN
ejpam-48	212	31	that	that	SCONJ
ejpam-48	212	32	neither	neither	CCONJ
ejpam-48	212	33	bin	bin	NOUN
ejpam-48	212	34	is	be	AUX
ejpam-48	212	35	empty	empty	ADJ
ejpam-48	212	36	.	.	PUNCT
ejpam-48	213	1	however	however	ADV
ejpam-48	213	2	,	,	PUNCT
ejpam-48	213	3	determination	determination	NOUN
ejpam-48	213	4	of	of	ADP
ejpam-48	213	5	what	what	PRON
ejpam-48	213	6	happens	happen	VERB
ejpam-48	213	7	with	with	ADP
ejpam-48	213	8	each	each	DET
ejpam-48	213	9	ball	ball	NOUN
ejpam-48	213	10	,	,	PUNCT
ejpam-48	213	11	conceptualized	conceptualize	VERB
ejpam-48	213	12	by	by	ADP
ejpam-48	213	13	the	the	DET
ejpam-48	213	14	movement	movement	NOUN
ejpam-48	213	15	of	of	ADP
ejpam-48	213	16	an	an	DET
ejpam-48	213	17	arbitrary	arbitrary	ADJ
ejpam-48	213	18	ball	ball	NOUN
ejpam-48	213	19	n	n	CCONJ
ejpam-48	213	20	,	,	PUNCT
ejpam-48	213	21	occurs	occur	VERB
ejpam-48	213	22	in	in	ADP
ejpam-48	213	23	response	response	NOUN
ejpam-48	213	24	to	to	ADP
ejpam-48	213	25	an	an	DET
ejpam-48	213	26	extensive	extensive	ADJ
ejpam-48	213	27	action	action	NOUN
ejpam-48	213	28	,	,	PUNCT
ejpam-48	213	29	that	that	ADV
ejpam-48	213	30	is	is	ADV
ejpam-48	213	31	,	,	PUNCT
ejpam-48	213	32	consideration	consideration	NOUN
ejpam-48	213	33	of	of	ADP
ejpam-48	213	34	what	what	PRON
ejpam-48	213	35	happens	happen	VERB
ejpam-48	213	36	“	"	PUNCT
ejpam-48	213	37	next	next	ADJ
ejpam-48	213	38	”	"	PUNCT
ejpam-48	213	39	after	after	SCONJ
ejpam-48	213	40	the	the	DET
ejpam-48	213	41	infinitely	infinitely	ADV
ejpam-48	213	42	many	many	ADJ
ejpam-48	213	43	steps	step	NOUN
ejpam-48	213	44	have	have	AUX
ejpam-48	213	45	been	be	AUX
ejpam-48	213	46	completed	complete	VERB
ejpam-48	213	47	.	.	PUNCT
ejpam-48	214	1	how	how	SCONJ
ejpam-48	214	2	the	the	DET
ejpam-48	214	3	state	state	NOUN
ejpam-48	214	4	at	at	ADP
ejpam-48	214	5	infinity	infinity	NOUN
ejpam-48	214	6	is	be	AUX
ejpam-48	214	7	conceived	conceive	VERB
ejpam-48	214	8	depends	depend	VERB
ejpam-48	214	9	on	on	ADP
ejpam-48	214	10	which	which	DET
ejpam-48	214	11	action	action	NOUN
ejpam-48	214	12	is	be	AUX
ejpam-48	214	13	applied	apply	VERB
ejpam-48	214	14	.	.	PUNCT
ejpam-48	215	1	the	the	DET
ejpam-48	215	2	mathematically	mathematically	ADV
ejpam-48	215	3	correct	correct	ADJ
ejpam-48	215	4	solution	solution	NOUN
ejpam-48	215	5	,	,	PUNCT
ejpam-48	215	6	that	that	SCONJ
ejpam-48	215	7	bin	bin	PROPN
ejpam-48	215	8	a	a	PRON
ejpam-48	215	9	is	be	AUX
ejpam-48	215	10	empty	empty	ADJ
ejpam-48	215	11	,	,	PUNCT
ejpam-48	215	12	is	be	AUX
ejpam-48	215	13	obtained	obtain	VERB
ejpam-48	215	14	by	by	ADP
ejpam-48	215	15	application	application	NOUN
ejpam-48	215	16	of	of	ADP
ejpam-48	215	17	the	the	DET
ejpam-48	215	18	latter	latter	ADJ
ejpam-48	215	19	extensive	extensive	ADJ
ejpam-48	215	20	action	action	NOUN
ejpam-48	215	21	.	.	PUNCT
ejpam-48	216	1	the	the	DET
ejpam-48	216	2	intermediate	intermediate	ADJ
ejpam-48	216	3	states	state	NOUN
ejpam-48	216	4	of	of	ADP
ejpam-48	216	5	the	the	DET
ejpam-48	216	6	tennis	tennis	NOUN
ejpam-48	216	7	ball	ball	NOUN
ejpam-48	216	8	problem	problem	NOUN
ejpam-48	216	9	,	,	PUNCT
ejpam-48	216	10	when	when	SCONJ
ejpam-48	216	11	conceived	conceive	VERB
ejpam-48	216	12	metaphorically	metaphorically	ADV
ejpam-48	216	13	,	,	PUNCT
ejpam-48	216	14	may	may	AUX
ejpam-48	216	15	suggest	suggest	VERB
ejpam-48	216	16	something	something	PRON
ejpam-48	216	17	else	else	ADV
ejpam-48	216	18	.	.	PUNCT
ejpam-48	217	1	e.	e.	PROPN
ejpam-48	217	2	dubinsky	dubinsky	PROPN
ejpam-48	217	3	et	et	PROPN
ejpam-48	217	4	al	al	PROPN
ejpam-48	217	5	.	.	PUNCT
ejpam-48	217	6	/	/	SYM
ejpam-48	217	7	eur	eur	PROPN
ejpam-48	217	8	.	.	PUNCT
ejpam-48	218	1	j.	j.	PROPN
ejpam-48	218	2	pure	pure	PROPN
ejpam-48	218	3	.	.	PUNCT
ejpam-48	219	1	appl	appl	PROPN
ejpam-48	219	2	.	.	PUNCT
ejpam-48	219	3	math	math	NOUN
ejpam-48	219	4	.	.	PUNCT
ejpam-48	220	1	1	1	NUM
ejpam-48	220	2	,	,	PUNCT
ejpam-48	220	3	(	(	PUNCT
ejpam-48	220	4	2008	2008	NUM
ejpam-48	220	5	)	)	PUNCT
ejpam-48	220	6	,	,	PUNCT
ejpam-48	220	7	(	(	PUNCT
ejpam-48	220	8	99	99	NUM
ejpam-48	220	9	-	-	SYM
ejpam-48	220	10	121	121	NUM
ejpam-48	220	11	)	)	PUNCT
ejpam-48	220	12	106	106	NUM
ejpam-48	220	13	methodology	methodology	NOUN
ejpam-48	220	14	fifteen	fifteen	NUM
ejpam-48	220	15	students	student	NOUN
ejpam-48	220	16	from	from	ADP
ejpam-48	220	17	three	three	NUM
ejpam-48	220	18	large	large	ADJ
ejpam-48	220	19	regional	regional	ADJ
ejpam-48	220	20	universities	university	NOUN
ejpam-48	220	21	participated	participate	VERB
ejpam-48	220	22	in	in	ADP
ejpam-48	220	23	the	the	DET
ejpam-48	220	24	study	study	NOUN
ejpam-48	220	25	.	.	PUNCT
ejpam-48	221	1	the	the	DET
ejpam-48	221	2	students	student	NOUN
ejpam-48	221	3	included	include	VERB
ejpam-48	221	4	mathematics	mathematic	NOUN
ejpam-48	221	5	,	,	PUNCT
ejpam-48	221	6	mathematics	mathematic	NOUN
ejpam-48	221	7	education	education	NOUN
ejpam-48	221	8	,	,	PUNCT
ejpam-48	221	9	and	and	CCONJ
ejpam-48	221	10	computer	computer	NOUN
ejpam-48	221	11	science	science	NOUN
ejpam-48	221	12	majors	major	NOUN
ejpam-48	221	13	.	.	PUNCT
ejpam-48	222	1	the	the	DET
ejpam-48	222	2	group	group	NOUN
ejpam-48	222	3	represented	represent	VERB
ejpam-48	222	4	a	a	DET
ejpam-48	222	5	variety	variety	NOUN
ejpam-48	222	6	of	of	ADP
ejpam-48	222	7	backgrounds	background	NOUN
ejpam-48	222	8	:	:	PUNCT
ejpam-48	222	9	several	several	ADJ
ejpam-48	222	10	had	have	AUX
ejpam-48	222	11	completed	complete	VERB
ejpam-48	222	12	two	two	NUM
ejpam-48	222	13	semesters	semester	NOUN
ejpam-48	222	14	of	of	ADP
ejpam-48	222	15	calculus	calculus	NOUN
ejpam-48	222	16	;	;	PUNCT
ejpam-48	222	17	others	other	NOUN
ejpam-48	222	18	had	have	AUX
ejpam-48	222	19	completed	complete	VERB
ejpam-48	222	20	several	several	ADJ
ejpam-48	222	21	courses	course	NOUN
ejpam-48	222	22	in	in	ADP
ejpam-48	222	23	mathematics	mathematic	NOUN
ejpam-48	222	24	beyond	beyond	ADP
ejpam-48	222	25	calculus	calculus	NOUN
ejpam-48	222	26	,	,	PUNCT
ejpam-48	222	27	such	such	ADJ
ejpam-48	222	28	as	as	ADP
ejpam-48	222	29	linear	linear	PROPN
ejpam-48	222	30	algebra	algebra	NOUN
ejpam-48	222	31	and/or	and/or	CCONJ
ejpam-48	222	32	discrete	discrete	ADJ
ejpam-48	222	33	mathematics	mathematic	NOUN
ejpam-48	222	34	;	;	PUNCT
ejpam-48	222	35	several	several	ADJ
ejpam-48	222	36	students	student	NOUN
ejpam-48	222	37	had	have	AUX
ejpam-48	222	38	nearly	nearly	ADV
ejpam-48	222	39	completed	complete	VERB
ejpam-48	222	40	an	an	DET
ejpam-48	222	41	undergraduate	undergraduate	ADJ
ejpam-48	222	42	mathematics	mathematic	NOUN
ejpam-48	222	43	major	major	NOUN
ejpam-48	222	44	;	;	PUNCT
ejpam-48	222	45	one	one	NUM
ejpam-48	222	46	student	student	NOUN
ejpam-48	222	47	had	have	AUX
ejpam-48	222	48	completed	complete	VERB
ejpam-48	222	49	one	one	NUM
ejpam-48	222	50	year	year	NOUN
ejpam-48	222	51	of	of	ADP
ejpam-48	222	52	graduate	graduate	ADJ
ejpam-48	222	53	school	school	NOUN
ejpam-48	222	54	in	in	ADP
ejpam-48	222	55	mathematics	mathematic	NOUN
ejpam-48	222	56	.	.	PUNCT
ejpam-48	223	1	the	the	DET
ejpam-48	223	2	students	student	NOUN
ejpam-48	223	3	were	be	AUX
ejpam-48	223	4	presented	present	VERB
ejpam-48	223	5	with	with	ADP
ejpam-48	223	6	two	two	NUM
ejpam-48	223	7	different	different	ADJ
ejpam-48	223	8	problems	problem	NOUN
ejpam-48	223	9	.	.	PUNCT
ejpam-48	224	1	the	the	DET
ejpam-48	224	2	interviewer	interviewer	NOUN
ejpam-48	224	3	verbally	verbally	ADV
ejpam-48	224	4	presented	present	VERB
ejpam-48	224	5	a	a	DET
ejpam-48	224	6	finite	finite	ADJ
ejpam-48	224	7	version	version	NOUN
ejpam-48	224	8	of	of	ADP
ejpam-48	224	9	the	the	DET
ejpam-48	224	10	tennis	tennis	NOUN
ejpam-48	224	11	ball	ball	NOUN
ejpam-48	224	12	problem	problem	NOUN
ejpam-48	224	13	[	[	X
ejpam-48	224	14	5	5	NUM
ejpam-48	224	15	]	]	PUNCT
ejpam-48	224	16	,	,	PUNCT
ejpam-48	224	17	with	with	ADP
ejpam-48	224	18	no	no	DET
ejpam-48	224	19	connection	connection	NOUN
ejpam-48	224	20	to	to	ADP
ejpam-48	224	21	time	time	NOUN
ejpam-48	224	22	.	.	PUNCT
ejpam-48	225	1	this	this	DET
ejpam-48	225	2	problem	problem	NOUN
ejpam-48	225	3	,	,	PUNCT
ejpam-48	225	4	which	which	PRON
ejpam-48	225	5	we	we	PRON
ejpam-48	225	6	refer	refer	VERB
ejpam-48	225	7	to	to	ADP
ejpam-48	225	8	as	as	ADP
ejpam-48	225	9	the	the	DET
ejpam-48	225	10	finite	finite	ADJ
ejpam-48	225	11	version	version	NOUN
ejpam-48	225	12	of	of	ADP
ejpam-48	225	13	the	the	DET
ejpam-48	225	14	problem	problem	NOUN
ejpam-48	225	15	,	,	PUNCT
ejpam-48	225	16	is	be	AUX
ejpam-48	225	17	given	give	VERB
ejpam-48	225	18	below	below	ADV
ejpam-48	225	19	:	:	PUNCT
ejpam-48	225	20	suppose	suppose	VERB
ejpam-48	225	21	that	that	SCONJ
ejpam-48	225	22	we	we	PRON
ejpam-48	225	23	have	have	VERB
ejpam-48	225	24	three	three	NUM
ejpam-48	225	25	bins	bin	NOUN
ejpam-48	225	26	,	,	PUNCT
ejpam-48	225	27	labeled	label	VERB
ejpam-48	225	28	holding	hold	VERB
ejpam-48	225	29	bin	bin	PROPN
ejpam-48	225	30	,	,	PUNCT
ejpam-48	225	31	bin	bin	PROPN
ejpam-48	225	32	a	a	PRON
ejpam-48	225	33	,	,	PUNCT
ejpam-48	225	34	and	and	CCONJ
ejpam-48	225	35	bin	bin	PROPN
ejpam-48	225	36	t	t	PROPN
ejpam-48	225	37	and	and	CCONJ
ejpam-48	225	38	a	a	DET
ejpam-48	225	39	dispenser	dispenser	NOUN
ejpam-48	225	40	button	button	NOUN
ejpam-48	225	41	that	that	SCONJ
ejpam-48	225	42	when	when	SCONJ
ejpam-48	225	43	pushed	push	VERB
ejpam-48	225	44	,	,	PUNCT
ejpam-48	225	45	moves	move	VERB
ejpam-48	225	46	balls	ball	NOUN
ejpam-48	225	47	from	from	ADP
ejpam-48	225	48	the	the	DET
ejpam-48	225	49	holding	hold	VERB
ejpam-48	225	50	bin	bin	NOUN
ejpam-48	225	51	to	to	ADP
ejpam-48	225	52	bin	bin	PROPN
ejpam-48	225	53	a.	a.	NOUN
ejpam-48	225	54	the	the	DET
ejpam-48	225	55	first	first	ADJ
ejpam-48	225	56	press	press	NOUN
ejpam-48	225	57	of	of	ADP
ejpam-48	225	58	the	the	DET
ejpam-48	225	59	dispenser	dispenser	NOUN
ejpam-48	225	60	drops	drop	VERB
ejpam-48	225	61	balls	ball	NOUN
ejpam-48	225	62	#	#	SYM
ejpam-48	225	63	1	1	NUM
ejpam-48	225	64	and	and	CCONJ
ejpam-48	225	65	#	#	SYM
ejpam-48	225	66	2	2	NUM
ejpam-48	225	67	into	into	ADP
ejpam-48	225	68	bin	bin	PROPN
ejpam-48	225	69	a	a	NOUN
ejpam-48	225	70	,	,	PUNCT
ejpam-48	225	71	with	with	SCONJ
ejpam-48	225	72	ball	ball	NOUN
ejpam-48	225	73	#	#	SYM
ejpam-48	225	74	1	1	NUM
ejpam-48	225	75	immediately	immediately	ADV
ejpam-48	225	76	moved	move	VERB
ejpam-48	225	77	from	from	ADP
ejpam-48	225	78	a	a	PRON
ejpam-48	225	79	to	to	ADP
ejpam-48	225	80	t.	t.	NOUN
ejpam-48	225	81	when	when	SCONJ
ejpam-48	225	82	the	the	DET
ejpam-48	225	83	dispenser	dispenser	NOUN
ejpam-48	225	84	is	be	AUX
ejpam-48	225	85	pressed	press	VERB
ejpam-48	225	86	again	again	ADV
ejpam-48	225	87	,	,	PUNCT
ejpam-48	225	88	balls	ball	VERB
ejpam-48	225	89	#	#	SYM
ejpam-48	225	90	3	3	NUM
ejpam-48	225	91	and	and	CCONJ
ejpam-48	225	92	#	#	SYM
ejpam-48	225	93	4	4	NUM
ejpam-48	225	94	drop	drop	NOUN
ejpam-48	225	95	into	into	ADP
ejpam-48	225	96	bin	bin	PROPN
ejpam-48	225	97	a	a	NOUN
ejpam-48	225	98	,	,	PUNCT
ejpam-48	225	99	with	with	ADP
ejpam-48	225	100	the	the	DET
ejpam-48	225	101	smallest	small	ADJ
ejpam-48	225	102	numbered	number	VERB
ejpam-48	225	103	ball	ball	NOUN
ejpam-48	225	104	in	in	ADP
ejpam-48	225	105	bin	bin	PROPN
ejpam-48	225	106	a	a	PRON
ejpam-48	225	107	immediately	immediately	ADV
ejpam-48	225	108	moved	move	VERB
ejpam-48	225	109	into	into	ADP
ejpam-48	225	110	t.	t.	PROPN
ejpam-48	225	111	if	if	SCONJ
ejpam-48	225	112	this	this	DET
ejpam-48	225	113	process	process	NOUN
ejpam-48	225	114	continues	continue	VERB
ejpam-48	225	115	for	for	ADP
ejpam-48	225	116	npresses	npresse	NOUN
ejpam-48	225	117	of	of	ADP
ejpam-48	225	118	the	the	DET
ejpam-48	225	119	dispenser	dispenser	NOUN
ejpam-48	225	120	button	button	NOUN
ejpam-48	225	121	,	,	PUNCT
ejpam-48	225	122	what	what	PRON
ejpam-48	225	123	will	will	AUX
ejpam-48	225	124	be	be	AUX
ejpam-48	225	125	the	the	DET
ejpam-48	225	126	contents	content	NOUN
ejpam-48	225	127	of	of	ADP
ejpam-48	225	128	bin	bin	PROPN
ejpam-48	225	129	a	a	PROPN
ejpam-48	225	130	and	and	CCONJ
ejpam-48	225	131	bin	bin	PROPN
ejpam-48	225	132	t	t	PROPN
ejpam-48	225	133	?	?	PUNCT
ejpam-48	226	1	following	follow	VERB
ejpam-48	226	2	consideration	consideration	NOUN
ejpam-48	226	3	of	of	ADP
ejpam-48	226	4	the	the	DET
ejpam-48	226	5	finite	finite	ADJ
ejpam-48	226	6	version	version	NOUN
ejpam-48	226	7	of	of	ADP
ejpam-48	226	8	the	the	DET
ejpam-48	226	9	problem	problem	NOUN
ejpam-48	226	10	,	,	PUNCT
ejpam-48	226	11	the	the	DET
ejpam-48	226	12	students	student	NOUN
ejpam-48	226	13	received	receive	VERB
ejpam-48	226	14	a	a	DET
ejpam-48	226	15	written	write	VERB
ejpam-48	226	16	statement	statement	NOUN
ejpam-48	226	17	of	of	ADP
ejpam-48	226	18	the	the	DET
ejpam-48	226	19	infinite	infinite	ADJ
ejpam-48	226	20	version	version	NOUN
ejpam-48	226	21	of	of	ADP
ejpam-48	226	22	problem	problem	NOUN
ejpam-48	226	23	that	that	PRON
ejpam-48	226	24	was	be	AUX
ejpam-48	226	25	presented	present	VERB
ejpam-48	226	26	in	in	ADP
ejpam-48	226	27	the	the	DET
ejpam-48	226	28	introduction	introduction	NOUN
ejpam-48	226	29	.	.	PUNCT
ejpam-48	227	1	the	the	DET
ejpam-48	227	2	students	student	NOUN
ejpam-48	227	3	were	be	AUX
ejpam-48	227	4	interviewed	interview	VERB
ejpam-48	227	5	in	in	ADP
ejpam-48	227	6	groups	group	NOUN
ejpam-48	227	7	,	,	PUNCT
ejpam-48	227	8	one	one	NUM
ejpam-48	227	9	group	group	NOUN
ejpam-48	227	10	of	of	ADP
ejpam-48	227	11	three	three	NUM
ejpam-48	227	12	and	and	CCONJ
ejpam-48	227	13	six	six	NUM
ejpam-48	227	14	groups	group	NOUN
ejpam-48	227	15	of	of	ADP
ejpam-48	227	16	two	two	NUM
ejpam-48	227	17	.	.	PUNCT
ejpam-48	228	1	each	each	DET
ejpam-48	228	2	90	90	NUM
ejpam-48	228	3	minute	minute	NOUN
ejpam-48	228	4	interview	interview	NOUN
ejpam-48	228	5	consisted	consist	VERB
ejpam-48	228	6	of	of	ADP
ejpam-48	228	7	the	the	DET
ejpam-48	228	8	students	student	NOUN
ejpam-48	228	9	discussing	discuss	VERB
ejpam-48	228	10	the	the	DET
ejpam-48	228	11	interviewer	interviewer	NOUN
ejpam-48	228	12	’s	’s	PART
ejpam-48	228	13	questions	question	NOUN
ejpam-48	228	14	amongst	amongst	ADP
ejpam-48	228	15	themselves	themselves	PRON
ejpam-48	228	16	.	.	PUNCT
ejpam-48	229	1	based	base	VERB
ejpam-48	229	2	on	on	ADP
ejpam-48	229	3	the	the	DET
ejpam-48	229	4	students	student	NOUN
ejpam-48	229	5	’	'	PUNCT
ejpam-48	229	6	responses	response	NOUN
ejpam-48	229	7	,	,	PUNCT
ejpam-48	229	8	the	the	DET
ejpam-48	229	9	interviewer	interviewer	NOUN
ejpam-48	229	10	asked	ask	VERB
ejpam-48	229	11	for	for	ADP
ejpam-48	229	12	further	further	ADJ
ejpam-48	229	13	clarification	clarification	NOUN
ejpam-48	229	14	and	and	CCONJ
ejpam-48	229	15	posed	pose	VERB
ejpam-48	229	16	follow	follow	NOUN
ejpam-48	229	17	-	-	PUNCT
ejpam-48	229	18	up	up	ADP
ejpam-48	229	19	questions	question	NOUN
ejpam-48	229	20	,	,	PUNCT
ejpam-48	229	21	as	as	ADP
ejpam-48	229	22	necessary	necessary	ADJ
ejpam-48	229	23	.	.	PUNCT
ejpam-48	230	1	the	the	DET
ejpam-48	230	2	interviews	interview	NOUN
ejpam-48	230	3	were	be	AUX
ejpam-48	230	4	audio	audio	ADJ
ejpam-48	230	5	and	and	CCONJ
ejpam-48	230	6	video	video	NOUN
ejpam-48	230	7	taped	tape	VERB
ejpam-48	230	8	,	,	PUNCT
ejpam-48	230	9	and	and	CCONJ
ejpam-48	230	10	written	write	VERB
ejpam-48	230	11	responses	response	NOUN
ejpam-48	230	12	were	be	AUX
ejpam-48	230	13	collected	collect	VERB
ejpam-48	230	14	.	.	PUNCT
ejpam-48	231	1	the	the	DET
ejpam-48	231	2	audio	audio	ADJ
ejpam-48	231	3	portions	portion	NOUN
ejpam-48	231	4	were	be	AUX
ejpam-48	231	5	transcribed	transcribe	VERB
ejpam-48	231	6	verbatim	verbatim	ADJ
ejpam-48	231	7	and	and	CCONJ
ejpam-48	231	8	checked	check	VERB
ejpam-48	231	9	against	against	ADP
ejpam-48	231	10	the	the	DET
ejpam-48	231	11	recordings	recording	NOUN
ejpam-48	231	12	for	for	ADP
ejpam-48	231	13	accuracy	accuracy	NOUN
ejpam-48	231	14	.	.	PUNCT
ejpam-48	232	1	by	by	ADP
ejpam-48	232	2	grouping	group	VERB
ejpam-48	232	3	the	the	DET
ejpam-48	232	4	students	student	NOUN
ejpam-48	232	5	,	,	PUNCT
ejpam-48	232	6	we	we	PRON
ejpam-48	232	7	intended	intend	VERB
ejpam-48	232	8	to	to	PART
ejpam-48	232	9	maximize	maximize	VERB
ejpam-48	232	10	articulation	articulation	NOUN
ejpam-48	232	11	of	of	ADP
ejpam-48	232	12	student	student	NOUN
ejpam-48	232	13	thinking	thinking	NOUN
ejpam-48	232	14	while	while	SCONJ
ejpam-48	232	15	minimizing	minimize	VERB
ejpam-48	232	16	interviewer	interviewer	NOUN
ejpam-48	232	17	prompting	prompt	VERB
ejpam-48	232	18	.	.	PUNCT
ejpam-48	233	1	although	although	SCONJ
ejpam-48	233	2	the	the	DET
ejpam-48	233	3	possibility	possibility	NOUN
ejpam-48	233	4	of	of	ADP
ejpam-48	233	5	crossstudent	crossstudent	NOUN
ejpam-48	233	6	influence	influence	NOUN
ejpam-48	233	7	could	could	AUX
ejpam-48	233	8	not	not	PART
ejpam-48	233	9	be	be	AUX
ejpam-48	233	10	eliminated	eliminate	VERB
ejpam-48	233	11	,	,	PUNCT
ejpam-48	233	12	the	the	DET
ejpam-48	233	13	students	student	NOUN
ejpam-48	233	14	’	’	PART
ejpam-48	233	15	interactions	interaction	NOUN
ejpam-48	233	16	appeared	appear	VERB
ejpam-48	233	17	to	to	PART
ejpam-48	233	18	uncover	uncover	VERB
ejpam-48	233	19	individual	individual	ADJ
ejpam-48	233	20	conceptions	conception	NOUN
ejpam-48	233	21	that	that	PRON
ejpam-48	233	22	might	might	AUX
ejpam-48	233	23	not	not	PART
ejpam-48	233	24	have	have	AUX
ejpam-48	233	25	been	be	AUX
ejpam-48	233	26	revealed	reveal	VERB
ejpam-48	233	27	in	in	ADP
ejpam-48	233	28	individual	individual	ADJ
ejpam-48	233	29	interviews	interview	NOUN
ejpam-48	233	30	.	.	PUNCT
ejpam-48	234	1	moreover	moreover	ADV
ejpam-48	234	2	,	,	PUNCT
ejpam-48	234	3	vidakovic	vidakovic	VERB
ejpam-48	234	4	[	[	X
ejpam-48	234	5	17	17	NUM
ejpam-48	234	6	]	]	PUNCT
ejpam-48	234	7	,	,	PUNCT
ejpam-48	234	8	in	in	ADP
ejpam-48	234	9	an	an	DET
ejpam-48	234	10	apos	apos	NOUN
ejpam-48	234	11	analysis	analysis	NOUN
ejpam-48	234	12	of	of	ADP
ejpam-48	234	13	students	student	NOUN
ejpam-48	234	14	’	'	PUNCT
ejpam-48	234	15	conceptions	conception	NOUN
ejpam-48	234	16	of	of	ADP
ejpam-48	234	17	inverse	inverse	NOUN
ejpam-48	234	18	functions	function	NOUN
ejpam-48	234	19	,	,	PUNCT
ejpam-48	234	20	found	find	VERB
ejpam-48	234	21	that	that	SCONJ
ejpam-48	234	22	mental	mental	ADJ
ejpam-48	234	23	constructions	construction	NOUN
ejpam-48	234	24	resulting	result	VERB
ejpam-48	234	25	from	from	ADP
ejpam-48	234	26	group	group	NOUN
ejpam-48	234	27	work	work	NOUN
ejpam-48	234	28	do	do	AUX
ejpam-48	234	29	not	not	PART
ejpam-48	234	30	differ	differ	VERB
ejpam-48	234	31	significantly	significantly	ADV
ejpam-48	234	32	from	from	ADP
ejpam-48	234	33	individual	individual	ADJ
ejpam-48	234	34	constructions	construction	NOUN
ejpam-48	234	35	students	student	NOUN
ejpam-48	234	36	make	make	VERB
ejpam-48	234	37	when	when	SCONJ
ejpam-48	234	38	working	work	VERB
ejpam-48	234	39	on	on	ADP
ejpam-48	234	40	a	a	DET
ejpam-48	234	41	topic	topic	NOUN
ejpam-48	234	42	alone	alone	ADV
ejpam-48	234	43	.	.	PUNCT
ejpam-48	235	1	following	follow	VERB
ejpam-48	235	2	the	the	DET
ejpam-48	235	3	steps	step	NOUN
ejpam-48	235	4	of	of	ADP
ejpam-48	235	5	data	datum	NOUN
ejpam-48	235	6	analysis	analysis	NOUN
ejpam-48	235	7	in	in	ADP
ejpam-48	235	8	the	the	DET
ejpam-48	235	9	framework	framework	NOUN
ejpam-48	235	10	set	set	VERB
ejpam-48	235	11	forth	forth	ADV
ejpam-48	235	12	in	in	ADP
ejpam-48	235	13	[	[	X
ejpam-48	235	14	6	6	NUM
ejpam-48	235	15	]	]	PUNCT
ejpam-48	235	16	,	,	PUNCT
ejpam-48	235	17	we	we	PRON
ejpam-48	235	18	developed	develop	VERB
ejpam-48	235	19	a	a	DET
ejpam-48	235	20	preliminary	preliminary	ADJ
ejpam-48	235	21	genetic	genetic	ADJ
ejpam-48	235	22	decomposition	decomposition	NOUN
ejpam-48	235	23	of	of	ADP
ejpam-48	235	24	a	a	DET
ejpam-48	235	25	two	two	NUM
ejpam-48	235	26	-	-	PUNCT
ejpam-48	235	27	dimensional	dimensional	ADJ
ejpam-48	235	28	infinite	infinite	ADJ
ejpam-48	235	29	iterative	iterative	NOUN
ejpam-48	235	30	process	process	NOUN
ejpam-48	235	31	.	.	PUNCT
ejpam-48	236	1	our	our	PRON
ejpam-48	236	2	description	description	NOUN
ejpam-48	236	3	was	be	AUX
ejpam-48	236	4	motivated	motivate	VERB
ejpam-48	236	5	by	by	ADP
ejpam-48	236	6	empirical	empirical	ADJ
ejpam-48	236	7	results	result	NOUN
ejpam-48	236	8	reported	report	VERB
ejpam-48	236	9	in	in	ADP
ejpam-48	236	10	[	[	X
ejpam-48	236	11	4	4	NUM
ejpam-48	236	12	]	]	PUNCT
ejpam-48	236	13	.	.	PUNCT
ejpam-48	237	1	then	then	ADV
ejpam-48	237	2	we	we	PRON
ejpam-48	237	3	conducted	conduct	VERB
ejpam-48	237	4	the	the	DET
ejpam-48	237	5	interviews	interview	NOUN
ejpam-48	237	6	.	.	PUNCT
ejpam-48	238	1	when	when	SCONJ
ejpam-48	238	2	they	they	PRON
ejpam-48	238	3	were	be	AUX
ejpam-48	238	4	complete	complete	ADJ
ejpam-48	238	5	,	,	PUNCT
ejpam-48	238	6	we	we	PRON
ejpam-48	238	7	scripted	script	VERB
ejpam-48	238	8	each	each	PRON
ejpam-48	238	9	of	of	ADP
ejpam-48	238	10	the	the	DET
ejpam-48	238	11	transcripts	transcript	NOUN
ejpam-48	238	12	and	and	CCONJ
ejpam-48	238	13	used	use	VERB
ejpam-48	238	14	the	the	DET
ejpam-48	238	15	scripts	script	NOUN
ejpam-48	238	16	to	to	PART
ejpam-48	238	17	identify	identify	VERB
ejpam-48	238	18	mathematical	mathematical	ADJ
ejpam-48	238	19	issues	issue	NOUN
ejpam-48	238	20	to	to	PART
ejpam-48	238	21	consider	consider	VERB
ejpam-48	238	22	.	.	PUNCT
ejpam-48	239	1	we	we	PRON
ejpam-48	239	2	then	then	ADV
ejpam-48	239	3	analyzed	analyze	VERB
ejpam-48	239	4	the	the	DET
ejpam-48	239	5	mathematical	mathematical	ADJ
ejpam-48	239	6	issues	issue	NOUN
ejpam-48	239	7	that	that	PRON
ejpam-48	239	8	arose	arise	VERB
ejpam-48	239	9	in	in	ADP
ejpam-48	239	10	the	the	DET
ejpam-48	239	11	context	context	NOUN
ejpam-48	239	12	of	of	ADP
ejpam-48	239	13	the	the	DET
ejpam-48	239	14	preliminary	preliminary	ADJ
ejpam-48	239	15	genetic	genetic	ADJ
ejpam-48	239	16	decomposition	decomposition	NOUN
ejpam-48	239	17	we	we	PRON
ejpam-48	239	18	devised	devise	VERB
ejpam-48	239	19	.	.	PUNCT
ejpam-48	240	1	specifically	specifically	ADV
ejpam-48	240	2	,	,	PUNCT
ejpam-48	240	3	we	we	PRON
ejpam-48	240	4	identified	identify	VERB
ejpam-48	240	5	the	the	DET
ejpam-48	240	6	mental	mental	ADJ
ejpam-48	240	7	constructions	construction	NOUN
ejpam-48	240	8	the	the	DET
ejpam-48	240	9	students	student	NOUN
ejpam-48	240	10	did	do	VERB
ejpam-48	240	11	or	or	CCONJ
ejpam-48	240	12	did	do	AUX
ejpam-48	240	13	not	not	PART
ejpam-48	240	14	make	make	VERB
ejpam-48	240	15	,	,	PUNCT
ejpam-48	240	16	and	and	CCONJ
ejpam-48	240	17	determined	determine	VERB
ejpam-48	240	18	whether	whether	SCONJ
ejpam-48	240	19	the	the	DET
ejpam-48	240	20	preliminary	preliminary	ADJ
ejpam-48	240	21	genetic	genetic	ADJ
ejpam-48	240	22	decomposition	decomposition	NOUN
ejpam-48	240	23	of	of	ADP
ejpam-48	240	24	the	the	DET
ejpam-48	240	25	tennis	tennis	NOUN
ejpam-48	240	26	ball	ball	NOUN
ejpam-48	240	27	problem	problem	NOUN
ejpam-48	240	28	captured	capture	VERB
ejpam-48	240	29	the	the	DET
ejpam-48	240	30	full	full	ADJ
ejpam-48	240	31	range	range	NOUN
ejpam-48	240	32	of	of	ADP
ejpam-48	240	33	the	the	DET
ejpam-48	240	34	students	student	NOUN
ejpam-48	240	35	’	'	PUNCT
ejpam-48	240	36	thinking	think	VERB
ejpam-48	240	37	.	.	PUNCT
ejpam-48	241	1	this	this	DET
ejpam-48	241	2	analysis	analysis	NOUN
ejpam-48	241	3	was	be	AUX
ejpam-48	241	4	first	first	ADV
ejpam-48	241	5	conducted	conduct	VERB
ejpam-48	241	6	individually	individually	ADV
ejpam-48	241	7	.	.	PUNCT
ejpam-48	242	1	we	we	PRON
ejpam-48	242	2	then	then	ADV
ejpam-48	242	3	convened	convene	VERB
ejpam-48	242	4	as	as	ADP
ejpam-48	242	5	a	a	DET
ejpam-48	242	6	group	group	NOUN
ejpam-48	242	7	to	to	PART
ejpam-48	242	8	negotiate	negotiate	VERB
ejpam-48	242	9	differences	difference	NOUN
ejpam-48	242	10	until	until	SCONJ
ejpam-48	242	11	we	we	PRON
ejpam-48	242	12	reached	reach	VERB
ejpam-48	242	13	consensus	consensus	NOUN
ejpam-48	242	14	.	.	PUNCT
ejpam-48	243	1	the	the	DET
ejpam-48	243	2	latter	latter	ADJ
ejpam-48	243	3	collaborative	collaborative	ADJ
ejpam-48	243	4	effort	effort	NOUN
ejpam-48	243	5	was	be	AUX
ejpam-48	243	6	undertaken	undertake	VERB
ejpam-48	243	7	to	to	PART
ejpam-48	243	8	ensure	ensure	VERB
ejpam-48	243	9	the	the	DET
ejpam-48	243	10	reliability	reliability	NOUN
ejpam-48	243	11	and	and	CCONJ
ejpam-48	243	12	validity	validity	NOUN
ejpam-48	243	13	of	of	ADP
ejpam-48	243	14	our	our	PRON
ejpam-48	243	15	results	result	NOUN
ejpam-48	243	16	.	.	PUNCT
ejpam-48	244	1	on	on	ADP
ejpam-48	244	2	the	the	DET
ejpam-48	244	3	basis	basis	NOUN
ejpam-48	244	4	of	of	ADP
ejpam-48	244	5	our	our	PRON
ejpam-48	244	6	final	final	ADJ
ejpam-48	244	7	analysis	analysis	NOUN
ejpam-48	244	8	,	,	PUNCT
ejpam-48	244	9	we	we	PRON
ejpam-48	244	10	found	find	VERB
ejpam-48	244	11	that	that	SCONJ
ejpam-48	244	12	five	five	NUM
ejpam-48	244	13	students	student	NOUN
ejpam-48	244	14	,	,	PUNCT
ejpam-48	244	15	sam	sam	PROPN
ejpam-48	244	16	,	,	PUNCT
ejpam-48	244	17	audrey	audrey	PROPN
ejpam-48	244	18	,	,	PUNCT
ejpam-48	244	19	david	david	PROPN
ejpam-48	244	20	and	and	CCONJ
ejpam-48	244	21	stan	stan	PROPN
ejpam-48	244	22	,	,	PUNCT
ejpam-48	244	23	and	and	CCONJ
ejpam-48	244	24	paul	paul	PROPN
ejpam-48	244	25	,	,	PUNCT
ejpam-48	244	26	captured	capture	VERB
ejpam-48	244	27	the	the	DET
ejpam-48	244	28	range	range	NOUN
ejpam-48	244	29	of	of	ADP
ejpam-48	244	30	thinking	thinking	NOUN
ejpam-48	244	31	observed	observe	VERB
ejpam-48	244	32	in	in	ADP
ejpam-48	244	33	the	the	DET
ejpam-48	244	34	full	full	ADJ
ejpam-48	244	35	set	set	NOUN
ejpam-48	244	36	of	of	ADP
ejpam-48	244	37	data.1	data.1	PROPN
ejpam-48	244	38	only	only	ADV
ejpam-48	244	39	sam	sam	PROPN
ejpam-48	244	40	,	,	PUNCT
ejpam-48	244	41	a	a	DET
ejpam-48	244	42	student	student	NOUN
ejpam-48	244	43	near	near	ADP
ejpam-48	244	44	completion	completion	NOUN
ejpam-48	244	45	of	of	ADP
ejpam-48	244	46	a	a	DET
ejpam-48	244	47	mathematics	mathematic	NOUN
ejpam-48	244	48	major	major	NOUN
ejpam-48	244	49	,	,	PUNCT
ejpam-48	244	50	correctly	correctly	ADV
ejpam-48	244	51	solved	solve	VERB
ejpam-48	244	52	both	both	CCONJ
ejpam-48	244	53	the	the	DET
ejpam-48	244	54	finite	finite	NOUN
ejpam-48	244	55	and	and	CCONJ
ejpam-48	244	56	infinite	infinite	ADJ
ejpam-48	244	57	versions	version	NOUN
ejpam-48	244	58	of	of	ADP
ejpam-48	244	59	the	the	DET
ejpam-48	244	60	problem	problem	NOUN
ejpam-48	244	61	.	.	PUNCT
ejpam-48	245	1	e.	e.	PROPN
ejpam-48	245	2	dubinsky	dubinsky	PROPN
ejpam-48	245	3	et	et	PROPN
ejpam-48	245	4	al	al	PROPN
ejpam-48	245	5	.	.	PUNCT
ejpam-48	245	6	/	/	SYM
ejpam-48	245	7	eur	eur	PROPN
ejpam-48	245	8	.	.	PUNCT
ejpam-48	246	1	j.	j.	PROPN
ejpam-48	246	2	pure	pure	PROPN
ejpam-48	246	3	.	.	PUNCT
ejpam-48	247	1	appl	appl	PROPN
ejpam-48	247	2	.	.	PUNCT
ejpam-48	247	3	math	math	NOUN
ejpam-48	247	4	.	.	PUNCT
ejpam-48	248	1	1	1	NUM
ejpam-48	248	2	,	,	PUNCT
ejpam-48	248	3	(	(	PUNCT
ejpam-48	248	4	2008	2008	NUM
ejpam-48	248	5	)	)	PUNCT
ejpam-48	248	6	,	,	PUNCT
ejpam-48	248	7	(	(	PUNCT
ejpam-48	248	8	99	99	NUM
ejpam-48	248	9	-	-	SYM
ejpam-48	248	10	121	121	NUM
ejpam-48	248	11	)	)	PUNCT
ejpam-48	248	12	107	107	NUM
ejpam-48	248	13	data	datum	NOUN
ejpam-48	248	14	analysis	analysis	NOUN
ejpam-48	248	15	and	and	CCONJ
ejpam-48	248	16	results	result	VERB
ejpam-48	248	17	all	all	PRON
ejpam-48	248	18	of	of	ADP
ejpam-48	248	19	the	the	DET
ejpam-48	248	20	students	student	NOUN
ejpam-48	248	21	successfully	successfully	ADV
ejpam-48	248	22	solved	solve	VERB
ejpam-48	248	23	the	the	DET
ejpam-48	248	24	finite	finite	ADJ
ejpam-48	248	25	version	version	NOUN
ejpam-48	248	26	of	of	ADP
ejpam-48	248	27	the	the	DET
ejpam-48	248	28	problem	problem	NOUN
ejpam-48	248	29	.	.	PUNCT
ejpam-48	249	1	they	they	PRON
ejpam-48	249	2	typically	typically	ADV
ejpam-48	249	3	considered	consider	VERB
ejpam-48	249	4	the	the	DET
ejpam-48	249	5	first	first	ADJ
ejpam-48	249	6	few	few	ADJ
ejpam-48	249	7	steps	step	NOUN
ejpam-48	249	8	explicitly	explicitly	ADV
ejpam-48	249	9	,	,	PUNCT
ejpam-48	249	10	and	and	CCONJ
ejpam-48	249	11	eventually	eventually	ADV
ejpam-48	249	12	interiorized	interiorize	VERB
ejpam-48	249	13	those	those	DET
ejpam-48	249	14	actions	action	NOUN
ejpam-48	249	15	to	to	PART
ejpam-48	249	16	conclude	conclude	VERB
ejpam-48	249	17	that	that	DET
ejpam-48	249	18	afternsteps	afternstep	NOUN
ejpam-48	249	19	,	,	PUNCT
ejpam-48	249	20	bin	bin	PROPN
ejpam-48	249	21	a	a	PRON
ejpam-48	249	22	contains	contain	VERB
ejpam-48	249	23	balls	ball	NOUN
ejpam-48	249	24	numbered	number	VERB
ejpam-48	249	25	1+n	1+n	NUM
ejpam-48	249	26	to	to	ADP
ejpam-48	249	27	n2	n2	NOUN
ejpam-48	249	28	and	and	CCONJ
ejpam-48	249	29	bin	bin	PROPN
ejpam-48	249	30	t	t	PROPN
ejpam-48	249	31	contains	contain	VERB
ejpam-48	249	32	balls	ball	NOUN
ejpam-48	249	33	numbered	number	VERB
ejpam-48	249	34	1	1	NUM
ejpam-48	249	35	ton	ton	NOUN
ejpam-48	249	36	.	.	PUNCT
ejpam-48	250	1	they	they	PRON
ejpam-48	250	2	also	also	ADV
ejpam-48	250	3	observed	observe	VERB
ejpam-48	250	4	that	that	SCONJ
ejpam-48	250	5	bins	bin	VERB
ejpam-48	250	6	a	a	PRON
ejpam-48	250	7	and	and	CCONJ
ejpam-48	250	8	t	t	PROPN
ejpam-48	250	9	each	each	PRON
ejpam-48	250	10	contain	contain	VERB
ejpam-48	250	11	half	half	NOUN
ejpam-48	250	12	of	of	ADP
ejpam-48	250	13	the	the	DET
ejpam-48	250	14	balls	ball	NOUN
ejpam-48	250	15	dropped	drop	VERB
ejpam-48	250	16	,	,	PUNCT
ejpam-48	250	17	and	and	CCONJ
ejpam-48	250	18	noted	note	VERB
ejpam-48	250	19	that	that	SCONJ
ejpam-48	250	20	the	the	DET
ejpam-48	250	21	quantity	quantity	NOUN
ejpam-48	250	22	in	in	ADP
ejpam-48	250	23	each	each	DET
ejpam-48	250	24	bin	bin	NOUN
ejpam-48	250	25	increases	increase	VERB
ejpam-48	250	26	with	with	ADP
ejpam-48	250	27	each	each	DET
ejpam-48	250	28	subsequent	subsequent	ADJ
ejpam-48	250	29	step	step	NOUN
ejpam-48	250	30	.	.	PUNCT
ejpam-48	251	1	as	as	SCONJ
ejpam-48	251	2	felicia	felicia	PROPN
ejpam-48	251	3	and	and	CCONJ
ejpam-48	251	4	ike	ike	PROPN
ejpam-48	251	5	point	point	VERB
ejpam-48	251	6	out	out	ADP
ejpam-48	251	7	:	:	PUNCT
ejpam-48	251	8	felicia	felicia	PROPN
ejpam-48	251	9	:	:	PUNCT
ejpam-48	251	10	it	it	PRON
ejpam-48	251	11	sounds	sound	VERB
ejpam-48	251	12	like	like	ADP
ejpam-48	251	13	that	that	DET
ejpam-48	251	14	sorting	sort	VERB
ejpam-48	251	15	algorithm	algorithm	NOUN
ejpam-48	251	16	where	where	SCONJ
ejpam-48	251	17	you	you	PRON
ejpam-48	251	18	like	like	VERB
ejpam-48	251	19	have	have	VERB
ejpam-48	251	20	a	a	DET
ejpam-48	251	21	bunch	bunch	NOUN
ejpam-48	251	22	of	of	ADP
ejpam-48	251	23	numbers	number	NOUN
ejpam-48	251	24	and	and	CCONJ
ejpam-48	251	25	where	where	SCONJ
ejpam-48	251	26	it	it	PRON
ejpam-48	251	27	cuts	cut	VERB
ejpam-48	251	28	it	it	PRON
ejpam-48	251	29	in	in	ADP
ejpam-48	251	30	half	half	NOUN
ejpam-48	251	31	.	.	PUNCT
ejpam-48	252	1	ike	ike	PROPN
ejpam-48	252	2	:	:	PUNCT
ejpam-48	252	3	it	it	PRON
ejpam-48	252	4	cuts	cut	VERB
ejpam-48	252	5	it	it	PRON
ejpam-48	252	6	in	in	ADP
ejpam-48	252	7	half	half	DET
ejpam-48	252	8	and	and	CCONJ
ejpam-48	252	9	…	…	PUNCT
ejpam-48	252	10	felicia	felicia	PROPN
ejpam-48	252	11	:	:	PUNCT
ejpam-48	252	12	and	and	CCONJ
ejpam-48	252	13	this	this	PRON
ejpam-48	252	14	would	would	AUX
ejpam-48	252	15	be	be	AUX
ejpam-48	252	16	throw	throw	NOUN
ejpam-48	252	17	-	-	PUNCT
ejpam-48	252	18	away	away	NOUN
ejpam-48	252	19	.	.	PUNCT
ejpam-48	253	1	ike	ike	PROPN
ejpam-48	253	2	:	:	PUNCT
ejpam-48	253	3	then	then	ADV
ejpam-48	253	4	the	the	DET
ejpam-48	253	5	first	first	ADJ
ejpam-48	253	6	base	base	NOUN
ejpam-48	253	7	number	number	NOUN
ejpam-48	253	8	.	.	PUNCT
ejpam-48	254	1	the	the	DET
ejpam-48	254	2	biggest	big	ADJ
ejpam-48	254	3	number	number	NOUN
ejpam-48	254	4	in	in	ADP
ejpam-48	254	5	the	the	DET
ejpam-48	254	6	group	group	NOUN
ejpam-48	254	7	will	will	AUX
ejpam-48	254	8	stay	stay	VERB
ejpam-48	254	9	in	in	ADP
ejpam-48	254	10	the	the	DET
ejpam-48	254	11	big	big	PROPN
ejpam-48	254	12	bin	bin	NOUN
ejpam-48	254	13	and	and	CCONJ
ejpam-48	254	14	the	the	DET
ejpam-48	254	15	lowest	low	ADJ
ejpam-48	254	16	,	,	PUNCT
ejpam-48	254	17	the	the	DET
ejpam-48	254	18	other	other	ADJ
ejpam-48	254	19	half	half	NOUN
ejpam-48	254	20	,	,	PUNCT
ejpam-48	254	21	will	will	AUX
ejpam-48	254	22	go	go	VERB
ejpam-48	254	23	throw	throw	VERB
ejpam-48	254	24	out	out	ADP
ejpam-48	254	25	,	,	PUNCT
ejpam-48	254	26	throw	throw	VERB
ejpam-48	254	27	away	away	ADV
ejpam-48	254	28	bin	bin	NOUN
ejpam-48	254	29	.	.	PUNCT
ejpam-48	255	1	the	the	DET
ejpam-48	255	2	infinite	infinite	ADJ
ejpam-48	255	3	version	version	NOUN
ejpam-48	255	4	of	of	ADP
ejpam-48	255	5	the	the	DET
ejpam-48	255	6	problem	problem	NOUN
ejpam-48	255	7	,	,	PUNCT
ejpam-48	255	8	which	which	PRON
ejpam-48	255	9	,	,	PUNCT
ejpam-48	255	10	in	in	ADP
ejpam-48	255	11	addition	addition	NOUN
ejpam-48	255	12	to	to	ADP
ejpam-48	255	13	movement	movement	NOUN
ejpam-48	255	14	of	of	ADP
ejpam-48	255	15	the	the	DET
ejpam-48	255	16	tennis	tennis	NOUN
ejpam-48	255	17	balls	ball	NOUN
ejpam-48	255	18	,	,	PUNCT
ejpam-48	255	19	included	include	VERB
ejpam-48	255	20	a	a	DET
ejpam-48	255	21	process	process	NOUN
ejpam-48	255	22	of	of	ADP
ejpam-48	255	23	subdivision	subdivision	NOUN
ejpam-48	255	24	of	of	ADP
ejpam-48	255	25	the	the	DET
ejpam-48	255	26	half	half	ADJ
ejpam-48	255	27	minute	minute	NOUN
ejpam-48	255	28	interval	interval	NOUN
ejpam-48	255	29	before	before	ADP
ejpam-48	255	30	12	12	NUM
ejpam-48	255	31	noon	noon	NOUN
ejpam-48	255	32	,	,	PUNCT
ejpam-48	255	33	involved	involve	VERB
ejpam-48	255	34	two	two	NUM
ejpam-48	255	35	iterative	iterative	NOUN
ejpam-48	255	36	processes	process	NOUN
ejpam-48	255	37	that	that	PRON
ejpam-48	255	38	needed	need	VERB
ejpam-48	255	39	to	to	PART
ejpam-48	255	40	be	be	AUX
ejpam-48	255	41	coordinated	coordinate	VERB
ejpam-48	255	42	.	.	PUNCT
ejpam-48	256	1	to	to	PART
ejpam-48	256	2	illustrate	illustrate	VERB
ejpam-48	256	3	the	the	DET
ejpam-48	256	4	issues	issue	NOUN
ejpam-48	256	5	that	that	PRON
ejpam-48	256	6	arose	arise	VERB
ejpam-48	256	7	in	in	ADP
ejpam-48	256	8	their	their	PRON
ejpam-48	256	9	attempts	attempt	NOUN
ejpam-48	256	10	to	to	PART
ejpam-48	256	11	deal	deal	VERB
ejpam-48	256	12	with	with	ADP
ejpam-48	256	13	these	these	DET
ejpam-48	256	14	processes	process	NOUN
ejpam-48	256	15	,	,	PUNCT
ejpam-48	256	16	we	we	PRON
ejpam-48	256	17	provide	provide	VERB
ejpam-48	256	18	in	in	ADP
ejpam-48	256	19	-	-	PUNCT
ejpam-48	256	20	depth	depth	NOUN
ejpam-48	256	21	individual	individual	ADJ
ejpam-48	256	22	analyses	analysis	NOUN
ejpam-48	256	23	of	of	ADP
ejpam-48	256	24	the	the	DET
ejpam-48	256	25	responses	response	NOUN
ejpam-48	256	26	of	of	ADP
ejpam-48	256	27	sam	sam	PROPN
ejpam-48	256	28	in	in	ADP
ejpam-48	256	29	his	his	PRON
ejpam-48	256	30	interview	interview	NOUN
ejpam-48	256	31	with	with	ADP
ejpam-48	256	32	one	one	NUM
ejpam-48	256	33	other	other	ADJ
ejpam-48	256	34	student	student	NOUN
ejpam-48	256	35	,	,	PUNCT
ejpam-48	256	36	audrey	audrey	NOUN
ejpam-48	256	37	with	with	ADP
ejpam-48	256	38	two	two	NUM
ejpam-48	256	39	other	other	ADJ
ejpam-48	256	40	students	student	NOUN
ejpam-48	256	41	,	,	PUNCT
ejpam-48	256	42	david	david	PROPN
ejpam-48	256	43	and	and	CCONJ
ejpam-48	256	44	stan	stan	PROPN
ejpam-48	256	45	,	,	PUNCT
ejpam-48	256	46	and	and	CCONJ
ejpam-48	256	47	paul	paul	PROPN
ejpam-48	256	48	with	with	ADP
ejpam-48	256	49	one	one	NUM
ejpam-48	256	50	other	other	ADJ
ejpam-48	256	51	student	student	NOUN
ejpam-48	256	52	.	.	PUNCT
ejpam-48	257	1	our	our	PRON
ejpam-48	257	2	description	description	NOUN
ejpam-48	257	3	of	of	ADP
ejpam-48	257	4	these	these	DET
ejpam-48	257	5	students	student	NOUN
ejpam-48	257	6	’	'	PUNCT
ejpam-48	257	7	responses	response	NOUN
ejpam-48	257	8	captures	capture	VERB
ejpam-48	257	9	the	the	DET
ejpam-48	257	10	full	full	ADJ
ejpam-48	257	11	range	range	NOUN
ejpam-48	257	12	of	of	ADP
ejpam-48	257	13	thinking	thinking	NOUN
ejpam-48	257	14	expressed	express	VERB
ejpam-48	257	15	by	by	ADP
ejpam-48	257	16	the	the	DET
ejpam-48	257	17	15	15	NUM
ejpam-48	257	18	students	student	NOUN
ejpam-48	257	19	who	who	PRON
ejpam-48	257	20	participated	participate	VERB
ejpam-48	257	21	in	in	ADP
ejpam-48	257	22	the	the	DET
ejpam-48	257	23	study	study	NOUN
ejpam-48	257	24	.	.	PUNCT
ejpam-48	258	1	we	we	PRON
ejpam-48	258	2	will	will	AUX
ejpam-48	258	3	relate	relate	VERB
ejpam-48	258	4	our	our	PRON
ejpam-48	258	5	analysis	analysis	NOUN
ejpam-48	258	6	of	of	ADP
ejpam-48	258	7	these	these	DET
ejpam-48	258	8	five	five	NUM
ejpam-48	258	9	students	student	NOUN
ejpam-48	258	10	to	to	ADP
ejpam-48	258	11	the	the	DET
ejpam-48	258	12	preliminary	preliminary	ADJ
ejpam-48	258	13	genetic	genetic	ADJ
ejpam-48	258	14	decomposition	decomposition	NOUN
ejpam-48	258	15	(	(	PUNCT
ejpam-48	258	16	obtained	obtain	VERB
ejpam-48	258	17	from	from	ADP
ejpam-48	258	18	the	the	DET
ejpam-48	258	19	apos	apos	NOUN
ejpam-48	258	20	analysis	analysis	NOUN
ejpam-48	258	21	which	which	PRON
ejpam-48	258	22	was	be	AUX
ejpam-48	258	23	described	describe	VERB
ejpam-48	258	24	earlier	early	ADV
ejpam-48	258	25	.	.	PUNCT
ejpam-48	258	26	)	)	PUNCT
ejpam-48	259	1	analysis	analysis	NOUN
ejpam-48	259	2	of	of	ADP
ejpam-48	259	3	the	the	DET
ejpam-48	259	4	interview	interview	NOUN
ejpam-48	259	5	with	with	ADP
ejpam-48	259	6	sam	sam	PROPN
ejpam-48	259	7	in	in	ADP
ejpam-48	259	8	this	this	DET
ejpam-48	259	9	section	section	NOUN
ejpam-48	259	10	,	,	PUNCT
ejpam-48	259	11	we	we	PRON
ejpam-48	259	12	describe	describe	VERB
ejpam-48	259	13	sam	sam	PROPN
ejpam-48	259	14	’s	’s	PART
ejpam-48	259	15	construction	construction	NOUN
ejpam-48	259	16	of	of	ADP
ejpam-48	259	17	an	an	DET
ejpam-48	259	18	iterative	iterative	NOUN
ejpam-48	259	19	process	process	NOUN
ejpam-48	259	20	for	for	ADP
ejpam-48	259	21	the	the	DET
ejpam-48	259	22	passage	passage	NOUN
ejpam-48	259	23	of	of	ADP
ejpam-48	259	24	time	time	NOUN
ejpam-48	259	25	,	,	PUNCT
ejpam-48	259	26	with	with	ADP
ejpam-48	259	27	12	12	NUM
ejpam-48	259	28	noon	noon	NOUN
ejpam-48	259	29	as	as	ADP
ejpam-48	259	30	the	the	DET
ejpam-48	259	31	transcendent	transcendent	ADJ
ejpam-48	259	32	object	object	NOUN
ejpam-48	259	33	.	.	PUNCT
ejpam-48	260	1	arrival	arrival	NOUN
ejpam-48	260	2	at	at	ADP
ejpam-48	260	3	12	12	NUM
ejpam-48	260	4	noon	noon	NOUN
ejpam-48	260	5	indicates	indicate	VERB
ejpam-48	260	6	“	"	PUNCT
ejpam-48	260	7	get[ting	get[te	VERB
ejpam-48	260	8	]	]	PUNCT
ejpam-48	260	9	all	all	PRON
ejpam-48	260	10	of	of	ADP
ejpam-48	260	11	the	the	DET
ejpam-48	260	12	numbers	number	NOUN
ejpam-48	260	13	,	,	PUNCT
ejpam-48	260	14	”	"	PUNCT
ejpam-48	260	15	which	which	PRON
ejpam-48	260	16	enables	enable	VERB
ejpam-48	260	17	sam	sam	PROPN
ejpam-48	260	18	to	to	PART
ejpam-48	260	19	see	see	VERB
ejpam-48	260	20	the	the	DET
ejpam-48	260	21	movement	movement	NOUN
ejpam-48	260	22	of	of	ADP
ejpam-48	260	23	the	the	DET
ejpam-48	260	24	balls	ball	NOUN
ejpam-48	260	25	(	(	PUNCT
ejpam-48	260	26	the	the	DET
ejpam-48	260	27	successive	successive	ADJ
ejpam-48	260	28	movement	movement	NOUN
ejpam-48	260	29	of	of	ADP
ejpam-48	260	30	balls	ball	NOUN
ejpam-48	260	31	from	from	ADP
ejpam-48	260	32	the	the	DET
ejpam-48	260	33	holding	hold	VERB
ejpam-48	260	34	bin	bin	NOUN
ejpam-48	260	35	to	to	ADP
ejpam-48	260	36	bin	bin	VERB
ejpam-48	260	37	a	a	PROPN
ejpam-48	260	38	and	and	CCONJ
ejpam-48	260	39	bin	bin	ADP
ejpam-48	260	40	a	a	PRON
ejpam-48	260	41	to	to	ADP
ejpam-48	260	42	bin	bin	PROPN
ejpam-48	260	43	t	t	PROPN
ejpam-48	260	44	)	)	PUNCT
ejpam-48	260	45	as	as	ADP
ejpam-48	260	46	a	a	DET
ejpam-48	260	47	completed	complete	VERB
ejpam-48	260	48	process	process	NOUN
ejpam-48	260	49	.	.	PUNCT
ejpam-48	261	1	he	he	PRON
ejpam-48	261	2	then	then	ADV
ejpam-48	261	3	focuses	focus	VERB
ejpam-48	261	4	attention	attention	NOUN
ejpam-48	261	5	on	on	ADP
ejpam-48	261	6	the	the	DET
ejpam-48	261	7	central	central	ADJ
ejpam-48	261	8	issue	issue	NOUN
ejpam-48	261	9	,	,	PUNCT
ejpam-48	261	10	what	what	PRON
ejpam-48	261	11	happens	happen	VERB
ejpam-48	261	12	to	to	ADP
ejpam-48	261	13	each	each	DET
ejpam-48	261	14	ball	ball	NOUN
ejpam-48	261	15	,	,	PUNCT
ejpam-48	261	16	represented	represent	VERB
ejpam-48	261	17	by	by	ADP
ejpam-48	261	18	the	the	DET
ejpam-48	261	19	correspondence	correspondence	NOUN
ejpam-48	261	20	t	t	PROPN
ejpam-48	261	21	:	:	PUNCT
ejpam-48	261	22	→nn	→nn	X
ejpam-48	261	23	.	.	PUNCT
ejpam-48	262	1	after	after	ADP
ejpam-48	262	2	being	be	AUX
ejpam-48	262	3	presented	present	VERB
ejpam-48	262	4	with	with	ADP
ejpam-48	262	5	the	the	DET
ejpam-48	262	6	infinite	infinite	ADJ
ejpam-48	262	7	version	version	NOUN
ejpam-48	262	8	of	of	ADP
ejpam-48	262	9	the	the	DET
ejpam-48	262	10	problem	problem	NOUN
ejpam-48	262	11	,	,	PUNCT
ejpam-48	262	12	sam	sam	PROPN
ejpam-48	262	13	quickly	quickly	ADV
ejpam-48	262	14	interiorizes	interiorize	VERB
ejpam-48	262	15	the	the	DET
ejpam-48	262	16	actions	action	NOUN
ejpam-48	262	17	associated	associate	VERB
ejpam-48	262	18	with	with	ADP
ejpam-48	262	19	the	the	DET
ejpam-48	262	20	first	first	ADJ
ejpam-48	262	21	few	few	ADJ
ejpam-48	262	22	steps	step	NOUN
ejpam-48	262	23	of	of	ADP
ejpam-48	262	24	the	the	DET
ejpam-48	262	25	passage	passage	NOUN
ejpam-48	262	26	of	of	ADP
ejpam-48	262	27	time	time	NOUN
ejpam-48	262	28	.	.	PUNCT
ejpam-48	263	1	in	in	ADP
ejpam-48	263	2	response	response	NOUN
ejpam-48	263	3	to	to	ADP
ejpam-48	263	4	his	his	PRON
ejpam-48	263	5	partner	partner	NOUN
ejpam-48	263	6	cassie	cassie	PROPN
ejpam-48	263	7	,	,	PUNCT
ejpam-48	263	8	who	who	PRON
ejpam-48	263	9	says	say	VERB
ejpam-48	263	10	,	,	PUNCT
ejpam-48	263	11	“	"	PUNCT
ejpam-48	263	12	it	it	PRON
ejpam-48	263	13	continues	continue	VERB
ejpam-48	263	14	in	in	ADP
ejpam-48	263	15	that	that	DET
ejpam-48	263	16	pattern	pattern	NOUN
ejpam-48	263	17	,	,	PUNCT
ejpam-48	263	18	”	"	PUNCT
ejpam-48	263	19	sam	sam	PROPN
ejpam-48	263	20	notes	note	VERB
ejpam-48	263	21	the	the	DET
ejpam-48	263	22	pattern	pattern	NOUN
ejpam-48	263	23	explicitly	explicitly	ADV
ejpam-48	263	24	,	,	PUNCT
ejpam-48	263	25	“	"	PUNCT
ejpam-48	263	26	1	1	NUM
ejpam-48	263	27	over	over	ADP
ejpam-48	263	28	2	2	NUM
ejpam-48	263	29	to	to	ADP
ejpam-48	263	30	the	the	DET
ejpam-48	263	31	n.	n.	NOUN
ejpam-48	263	32	”	"	PUNCT
ejpam-48	263	33	cassie	cassie	PROPN
ejpam-48	263	34	agrees	agree	VERB
ejpam-48	263	35	,	,	PUNCT
ejpam-48	263	36	although	although	SCONJ
ejpam-48	263	37	she	she	PRON
ejpam-48	263	38	expresses	express	VERB
ejpam-48	263	39	skepticism	skepticism	NOUN
ejpam-48	263	40	about	about	ADP
ejpam-48	263	41	the	the	DET
ejpam-48	263	42	possibility	possibility	NOUN
ejpam-48	263	43	of	of	ADP
ejpam-48	263	44	reaching	reach	VERB
ejpam-48	263	45	12	12	NUM
ejpam-48	263	46	noon	noon	NOUN
ejpam-48	263	47	:	:	PUNCT
ejpam-48	263	48	“	"	PUNCT
ejpam-48	263	49	now	now	ADV
ejpam-48	263	50	we	we	PRON
ejpam-48	263	51	’re	’re	AUX
ejpam-48	263	52	taking	take	VERB
ejpam-48	263	53	into	into	ADP
ejpam-48	263	54	consideration	consideration	NOUN
ejpam-48	263	55	what	what	PRON
ejpam-48	263	56	happens	happen	VERB
ejpam-48	263	57	when	when	SCONJ
ejpam-48	263	58	we	we	PRON
ejpam-48	263	59	get	get	VERB
ejpam-48	263	60	to	to	ADP
ejpam-48	263	61	noon	noon	NOUN
ejpam-48	263	62	,	,	PUNCT
ejpam-48	263	63	which	which	PRON
ejpam-48	263	64	we	we	PRON
ejpam-48	263	65	’re	’re	AUX
ejpam-48	263	66	never	never	ADV
ejpam-48	263	67	going	go	VERB
ejpam-48	263	68	to	to	PART
ejpam-48	263	69	get	get	VERB
ejpam-48	263	70	to	to	ADP
ejpam-48	263	71	.	.	PUNCT
ejpam-48	263	72	”	"	PUNCT
ejpam-48	264	1	sam	sam	PROPN
ejpam-48	264	2	disagrees	disagree	VERB
ejpam-48	264	3	,	,	PUNCT
ejpam-48	264	4	noting	note	VERB
ejpam-48	264	5	that	that	SCONJ
ejpam-48	264	6	“	"	PUNCT
ejpam-48	264	7	as	as	SCONJ
ejpam-48	264	8	we	we	PRON
ejpam-48	264	9	approach	approach	VERB
ejpam-48	264	10	noon	noon	NOUN
ejpam-48	264	11	,	,	PUNCT
ejpam-48	264	12	we	we	PRON
ejpam-48	264	13	get	get	VERB
ejpam-48	264	14	all	all	DET
ejpam-48	264	15	the	the	DET
ejpam-48	264	16	numbers	number	NOUN
ejpam-48	264	17	.	.	PUNCT
ejpam-48	264	18	”	"	PUNCT
ejpam-48	265	1	a	a	DET
ejpam-48	265	2	few	few	ADJ
ejpam-48	265	3	moments	moment	NOUN
ejpam-48	265	4	later	later	ADV
ejpam-48	265	5	he	he	PRON
ejpam-48	265	6	adds	add	VERB
ejpam-48	265	7	:	:	PUNCT
ejpam-48	265	8	sam	sam	PROPN
ejpam-48	265	9	:	:	PUNCT
ejpam-48	265	10	like	like	ADP
ejpam-48	265	11	each	each	DET
ejpam-48	265	12	iteration	iteration	NOUN
ejpam-48	265	13	,	,	PUNCT
ejpam-48	265	14	we	we	PRON
ejpam-48	265	15	have	have	VERB
ejpam-48	265	16	this	this	DET
ejpam-48	265	17	number	number	NOUN
ejpam-48	265	18	in	in	ADP
ejpam-48	265	19	there	there	ADV
ejpam-48	265	20	.	.	PUNCT
ejpam-48	266	1	so	so	ADV
ejpam-48	266	2	you	you	PRON
ejpam-48	266	3	have	have	VERB
ejpam-48	266	4	1	1	NUM
ejpam-48	266	5	,	,	PUNCT
ejpam-48	266	6	2	2	NUM
ejpam-48	266	7	,	,	PUNCT
ejpam-48	266	8	3	3	NUM
ejpam-48	266	9	in	in	ADP
ejpam-48	266	10	t.	t.	PROPN
ejpam-48	267	1	so	so	ADV
ejpam-48	267	2	what	what	PRON
ejpam-48	267	3	happens	happen	VERB
ejpam-48	267	4	after	after	SCONJ
ejpam-48	267	5	you	you	PRON
ejpam-48	267	6	have	have	VERB
ejpam-48	267	7	infinity	infinity	NOUN
ejpam-48	267	8	iterations	iteration	NOUN
ejpam-48	267	9	?	?	PUNCT
ejpam-48	268	1	and	and	CCONJ
ejpam-48	268	2	you	you	PRON
ejpam-48	268	3	have	have	VERB
ejpam-48	268	4	them	they	PRON
ejpam-48	268	5	all	all	PRON
ejpam-48	268	6	in	in	ADP
ejpam-48	268	7	the	the	DET
ejpam-48	268	8	throw	throw	NOUN
ejpam-48	268	9	away	away	ADV
ejpam-48	268	10	bin	bin	NOUN
ejpam-48	268	11	.	.	PUNCT
ejpam-48	269	1	if	if	SCONJ
ejpam-48	269	2	all	all	PRON
ejpam-48	269	3	of	of	ADP
ejpam-48	269	4	them	they	PRON
ejpam-48	269	5	are	be	AUX
ejpam-48	269	6	in	in	ADP
ejpam-48	269	7	the	the	DET
ejpam-48	269	8	throw	throw	NOUN
ejpam-48	269	9	away	away	ADV
ejpam-48	269	10	bin	bin	PROPN
ejpam-48	269	11	,	,	PUNCT
ejpam-48	269	12	then	then	ADV
ejpam-48	269	13	there	there	PRON
ejpam-48	269	14	’s	’	VERB
ejpam-48	269	15	nothing	nothing	PRON
ejpam-48	269	16	left	leave	VERB
ejpam-48	269	17	in	in	ADP
ejpam-48	269	18	a.	a.	NOUN
ejpam-48	269	19	as	as	SCONJ
ejpam-48	269	20	sam	sam	PROPN
ejpam-48	269	21	makes	make	VERB
ejpam-48	269	22	this	this	DET
ejpam-48	269	23	statement	statement	NOUN
ejpam-48	269	24	,	,	PUNCT
ejpam-48	269	25	he	he	PRON
ejpam-48	269	26	points	point	VERB
ejpam-48	269	27	to	to	ADP
ejpam-48	269	28	the	the	DET
ejpam-48	269	29	written	write	VERB
ejpam-48	269	30	work	work	NOUN
ejpam-48	269	31	he	he	PRON
ejpam-48	269	32	and	and	CCONJ
ejpam-48	269	33	cassie	cassie	PROPN
ejpam-48	269	34	have	have	AUX
ejpam-48	269	35	generated	generate	VERB
ejpam-48	269	36	,	,	PUNCT
ejpam-48	269	37	and	and	CCONJ
ejpam-48	269	38	gestures	gesture	NOUN
ejpam-48	269	39	to	to	PART
ejpam-48	269	40	indicate	indicate	VERB
ejpam-48	269	41	that	that	SCONJ
ejpam-48	269	42	1	1	NUM
ejpam-48	269	43	goes	go	VERB
ejpam-48	269	44	into	into	ADP
ejpam-48	269	45	t	t	PROPN
ejpam-48	269	46	at	at	ADP
ejpam-48	269	47	step	step	NOUN
ejpam-48	269	48	1	1	NUM
ejpam-48	269	49	,	,	PUNCT
ejpam-48	269	50	2	2	NUM
ejpam-48	269	51	goes	go	VERB
ejpam-48	269	52	into	into	ADP
ejpam-48	269	53	t	t	PROPN
ejpam-48	269	54	at	at	ADP
ejpam-48	269	55	step	step	NOUN
ejpam-48	269	56	2	2	NUM
ejpam-48	269	57	,	,	PUNCT
ejpam-48	269	58	etc	etc	X
ejpam-48	269	59	.	.	X
ejpam-48	270	1	however	however	ADV
ejpam-48	270	2	,	,	PUNCT
ejpam-48	270	3	his	his	PRON
ejpam-48	270	4	response	response	NOUN
ejpam-48	270	5	fails	fail	VERB
ejpam-48	270	6	to	to	PART
ejpam-48	270	7	clarify	clarify	VERB
ejpam-48	270	8	the	the	DET
ejpam-48	270	9	connection	connection	NOUN
ejpam-48	270	10	between	between	ADP
ejpam-48	270	11	“	"	PUNCT
ejpam-48	270	12	approaching	approach	VERB
ejpam-48	270	13	noon	noon	NOUN
ejpam-48	270	14	”	"	PUNCT
ejpam-48	270	15	and	and	CCONJ
ejpam-48	270	16	“	"	PUNCT
ejpam-48	270	17	get[ting	get[te	VERB
ejpam-48	270	18	]	]	PUNCT
ejpam-48	270	19	all	all	DET
ejpam-48	270	20	the	the	DET
ejpam-48	270	21	numbers	number	NOUN
ejpam-48	270	22	.	.	PUNCT
ejpam-48	270	23	”	"	PUNCT
ejpam-48	271	1	asked	ask	VERB
ejpam-48	271	2	for	for	ADP
ejpam-48	271	3	additional	additional	ADJ
ejpam-48	271	4	details	detail	NOUN
ejpam-48	271	5	,	,	PUNCT
ejpam-48	271	6	sam	sam	PROPN
ejpam-48	271	7	offers	offer	VERB
ejpam-48	271	8	the	the	DET
ejpam-48	271	9	following	follow	VERB
ejpam-48	271	10	response	response	NOUN
ejpam-48	271	11	:	:	PUNCT
ejpam-48	272	1	sam	sam	PROPN
ejpam-48	272	2	:	:	PUNCT
ejpam-48	273	1	okay	okay	INTJ
ejpam-48	273	2	.	.	PUNCT
ejpam-48	274	1	well	well	INTJ
ejpam-48	274	2	,	,	PUNCT
ejpam-48	274	3	um	um	INTJ
ejpam-48	274	4	,	,	PUNCT
ejpam-48	274	5	you	you	PRON
ejpam-48	274	6	started	start	VERB
ejpam-48	274	7	out	out	ADP
ejpam-48	274	8	in	in	ADP
ejpam-48	274	9	the	the	DET
ejpam-48	274	10	dispenser	dispenser	NOUN
ejpam-48	274	11	with	with	ADP
ejpam-48	274	12	all	all	DET
ejpam-48	274	13	the	the	DET
ejpam-48	274	14	numbers	number	NOUN
ejpam-48	274	15	in	in	ADV
ejpam-48	274	16	there	there	ADV
ejpam-48	274	17	.	.	PUNCT
ejpam-48	275	1	e.	e.	PROPN
ejpam-48	275	2	dubinsky	dubinsky	PROPN
ejpam-48	275	3	et	et	PROPN
ejpam-48	275	4	al	al	PROPN
ejpam-48	275	5	.	.	PUNCT
ejpam-48	275	6	/	/	SYM
ejpam-48	275	7	eur	eur	PROPN
ejpam-48	275	8	.	.	PUNCT
ejpam-48	276	1	j.	j.	PROPN
ejpam-48	276	2	pure	pure	PROPN
ejpam-48	276	3	.	.	PUNCT
ejpam-48	277	1	appl	appl	PROPN
ejpam-48	277	2	.	.	PUNCT
ejpam-48	277	3	math	math	NOUN
ejpam-48	277	4	.	.	PUNCT
ejpam-48	278	1	1	1	NUM
ejpam-48	278	2	,	,	PUNCT
ejpam-48	278	3	(	(	PUNCT
ejpam-48	278	4	2008	2008	NUM
ejpam-48	278	5	)	)	PUNCT
ejpam-48	279	1	,	,	PUNCT
ejpam-48	279	2	(	(	PUNCT
ejpam-48	279	3	99	99	NUM
ejpam-48	279	4	-	-	SYM
ejpam-48	279	5	121	121	NUM
ejpam-48	279	6	)	)	PUNCT
ejpam-48	279	7	108	108	NUM
ejpam-48	279	8	i	i	NOUN
ejpam-48	279	9	:	:	PUNCT
ejpam-48	279	10	what	what	PRON
ejpam-48	279	11	do	do	AUX
ejpam-48	279	12	you	you	PRON
ejpam-48	279	13	mean	mean	VERB
ejpam-48	279	14	by	by	ADP
ejpam-48	279	15	all	all	DET
ejpam-48	279	16	the	the	DET
ejpam-48	279	17	numbers	number	NOUN
ejpam-48	279	18	?	?	PUNCT
ejpam-48	280	1	sam	sam	PROPN
ejpam-48	280	2	:	:	PUNCT
ejpam-48	281	1	positive	positive	ADJ
ejpam-48	281	2	integers	integer	NOUN
ejpam-48	281	3	,	,	PUNCT
ejpam-48	281	4	natural	natural	ADJ
ejpam-48	281	5	numbers	number	NOUN
ejpam-48	281	6	.	.	PUNCT
ejpam-48	282	1	alright	alright	INTJ
ejpam-48	282	2	.	.	PUNCT
ejpam-48	283	1	and	and	CCONJ
ejpam-48	283	2	then	then	ADV
ejpam-48	283	3	,	,	PUNCT
ejpam-48	283	4	um	um	INTJ
ejpam-48	283	5	,	,	PUNCT
ejpam-48	283	6	well	well	INTJ
ejpam-48	283	7	,	,	PUNCT
ejpam-48	283	8	after	after	ADP
ejpam-48	283	9	the	the	DET
ejpam-48	283	10	iteration	iteration	NOUN
ejpam-48	283	11	,	,	PUNCT
ejpam-48	283	12	well	well	INTJ
ejpam-48	283	13	you	you	PRON
ejpam-48	283	14	get	get	VERB
ejpam-48	283	15	some	some	PRON
ejpam-48	283	16	in	in	ADP
ejpam-48	283	17	a	a	PRON
ejpam-48	283	18	,	,	PUNCT
ejpam-48	283	19	but	but	CCONJ
ejpam-48	283	20	every	every	DET
ejpam-48	283	21	iteration	iteration	NOUN
ejpam-48	283	22	,	,	PUNCT
ejpam-48	283	23	uh	uh	INTJ
ejpam-48	283	24	,	,	PUNCT
ejpam-48	283	25	you	you	PRON
ejpam-48	283	26	get	get	VERB
ejpam-48	283	27	that	that	PRON
ejpam-48	283	28	n	n	NOUN
ejpam-48	283	29	in	in	ADP
ejpam-48	283	30	t.	t.	PROPN
ejpam-48	283	31	so	so	ADV
ejpam-48	283	32	after	after	ADP
ejpam-48	283	33	the	the	DET
ejpam-48	283	34	third	third	ADJ
ejpam-48	283	35	iteration	iteration	NOUN
ejpam-48	283	36	,	,	PUNCT
ejpam-48	283	37	you	you	PRON
ejpam-48	283	38	’ll	’ll	AUX
ejpam-48	283	39	have	have	VERB
ejpam-48	283	40	1	1	NUM
ejpam-48	283	41	,	,	PUNCT
ejpam-48	283	42	2	2	NUM
ejpam-48	283	43	,	,	PUNCT
ejpam-48	283	44	3	3	NUM
ejpam-48	283	45	in	in	ADP
ejpam-48	283	46	the	the	DET
ejpam-48	283	47	throw	throw	NOUN
ejpam-48	283	48	away	away	ADV
ejpam-48	283	49	bin	bin	PROPN
ejpam-48	283	50	.	.	PUNCT
ejpam-48	284	1	so	so	ADV
ejpam-48	284	2	,	,	PUNCT
ejpam-48	284	3	then	then	ADV
ejpam-48	284	4	after	after	SCONJ
ejpam-48	284	5	you	you	PRON
ejpam-48	284	6	go	go	VERB
ejpam-48	284	7	through	through	ADP
ejpam-48	284	8	all	all	PRON
ejpam-48	284	9	of	of	ADP
ejpam-48	284	10	this	this	PRON
ejpam-48	284	11	,	,	PUNCT
ejpam-48	284	12	since	since	SCONJ
ejpam-48	284	13	it	it	PRON
ejpam-48	284	14	’s	’	VERB
ejpam-48	284	15	like	like	INTJ
ejpam-48	284	16	one	one	NUM
ejpam-48	284	17	over	over	ADP
ejpam-48	284	18	two	two	NUM
ejpam-48	284	19	,	,	PUNCT
ejpam-48	284	20	one	one	NUM
ejpam-48	284	21	over	over	ADP
ejpam-48	284	22	four	four	NUM
ejpam-48	284	23	,	,	PUNCT
ejpam-48	284	24	it	it	PRON
ejpam-48	284	25	’s	’	VERB
ejpam-48	284	26	sequential	sequential	ADJ
ejpam-48	284	27	limit	limit	NOUN
ejpam-48	284	28	,	,	PUNCT
ejpam-48	284	29	the	the	DET
ejpam-48	284	30	time	time	NOUN
ejpam-48	284	31	limit	limit	NOUN
ejpam-48	284	32	would	would	AUX
ejpam-48	284	33	be	be	AUX
ejpam-48	284	34	12	12	NUM
ejpam-48	284	35	,	,	PUNCT
ejpam-48	284	36	so	so	SCONJ
ejpam-48	284	37	you	you	PRON
ejpam-48	284	38	’d	’d	ADV
ejpam-48	284	39	have	have	VERB
ejpam-48	284	40	all	all	DET
ejpam-48	284	41	the	the	DET
ejpam-48	284	42	integers	integer	NOUN
ejpam-48	284	43	in	in	ADP
ejpam-48	284	44	the	the	DET
ejpam-48	284	45	throw	throw	NOUN
ejpam-48	284	46	away	away	ADV
ejpam-48	284	47	bin	bin	NOUN
ejpam-48	284	48	,	,	PUNCT
ejpam-48	284	49	and	and	CCONJ
ejpam-48	284	50	so	so	ADV
ejpam-48	284	51	that	that	PRON
ejpam-48	284	52	means	mean	VERB
ejpam-48	284	53	if	if	SCONJ
ejpam-48	284	54	an	an	DET
ejpam-48	284	55	integer	integer	NOUN
ejpam-48	284	56	is	be	AUX
ejpam-48	284	57	in	in	ADP
ejpam-48	284	58	a	a	PRON
ejpam-48	284	59	,	,	PUNCT
ejpam-48	284	60	it	it	PRON
ejpam-48	284	61	’s	’	VERB
ejpam-48	284	62	not	not	PART
ejpam-48	284	63	in	in	ADP
ejpam-48	284	64	the	the	DET
ejpam-48	284	65	throw	throw	NOUN
ejpam-48	284	66	away	away	ADV
ejpam-48	284	67	bin	bin	PROPN
ejpam-48	284	68	.	.	PUNCT
ejpam-48	285	1	sam	sam	PROPN
ejpam-48	285	2	apparently	apparently	ADV
ejpam-48	285	3	sees	see	VERB
ejpam-48	285	4	12	12	NUM
ejpam-48	285	5	noon	noon	NOUN
ejpam-48	285	6	as	as	ADP
ejpam-48	285	7	the	the	DET
ejpam-48	285	8	transcendent	transcendent	ADJ
ejpam-48	285	9	object	object	NOUN
ejpam-48	285	10	of	of	ADP
ejpam-48	285	11	the	the	DET
ejpam-48	285	12	process	process	NOUN
ejpam-48	285	13	of	of	ADP
ejpam-48	285	14	subdividing	subdivide	VERB
ejpam-48	285	15	the	the	DET
ejpam-48	285	16	time	time	NOUN
ejpam-48	285	17	.	.	PUNCT
ejpam-48	286	1	whether	whether	SCONJ
ejpam-48	286	2	a	a	DET
ejpam-48	286	3	coordination	coordination	NOUN
ejpam-48	286	4	between	between	ADP
ejpam-48	286	5	the	the	DET
ejpam-48	286	6	passage	passage	NOUN
ejpam-48	286	7	of	of	ADP
ejpam-48	286	8	time	time	NOUN
ejpam-48	286	9	and	and	CCONJ
ejpam-48	286	10	the	the	DET
ejpam-48	286	11	movement	movement	NOUN
ejpam-48	286	12	of	of	ADP
ejpam-48	286	13	the	the	DET
ejpam-48	286	14	balls	ball	NOUN
ejpam-48	286	15	has	have	AUX
ejpam-48	286	16	occurred	occur	VERB
ejpam-48	286	17	remains	remain	VERB
ejpam-48	286	18	less	less	ADV
ejpam-48	286	19	certain	certain	ADJ
ejpam-48	286	20	,	,	PUNCT
ejpam-48	286	21	but	but	CCONJ
ejpam-48	286	22	what	what	PRON
ejpam-48	286	23	is	be	AUX
ejpam-48	286	24	clear	clear	ADJ
ejpam-48	286	25	is	be	AUX
ejpam-48	286	26	that	that	SCONJ
ejpam-48	286	27	sam	sam	PROPN
ejpam-48	286	28	’s	’s	PART
ejpam-48	286	29	view	view	NOUN
ejpam-48	286	30	of	of	ADP
ejpam-48	286	31	12	12	NUM
ejpam-48	286	32	noon	noon	NOUN
ejpam-48	286	33	as	as	SCONJ
ejpam-48	286	34	the	the	DET
ejpam-48	286	35	“	"	PUNCT
ejpam-48	286	36	sequential	sequential	ADJ
ejpam-48	286	37	limit	limit	NOUN
ejpam-48	286	38	”	"	PUNCT
ejpam-48	286	39	appears	appear	VERB
ejpam-48	286	40	to	to	PART
ejpam-48	286	41	help	help	VERB
ejpam-48	286	42	him	he	PRON
ejpam-48	286	43	to	to	PART
ejpam-48	286	44	see	see	VERB
ejpam-48	286	45	as	as	ADV
ejpam-48	286	46	complete	complete	VERB
ejpam-48	286	47	the	the	DET
ejpam-48	286	48	steps	step	NOUN
ejpam-48	286	49	involved	involve	VERB
ejpam-48	286	50	in	in	ADP
ejpam-48	286	51	moving	move	VERB
ejpam-48	286	52	the	the	DET
ejpam-48	286	53	balls	ball	NOUN
ejpam-48	286	54	.	.	PUNCT
ejpam-48	287	1	evidence	evidence	NOUN
ejpam-48	287	2	of	of	ADP
ejpam-48	287	3	coordination	coordination	NOUN
ejpam-48	287	4	occurs	occur	VERB
ejpam-48	287	5	later	later	ADV
ejpam-48	287	6	,	,	PUNCT
ejpam-48	287	7	as	as	SCONJ
ejpam-48	287	8	seen	see	VERB
ejpam-48	287	9	in	in	ADP
ejpam-48	287	10	the	the	DET
ejpam-48	287	11	following	follow	VERB
ejpam-48	287	12	excerpt	excerpt	NOUN
ejpam-48	287	13	,	,	PUNCT
ejpam-48	287	14	where	where	SCONJ
ejpam-48	287	15	sam	sam	PROPN
ejpam-48	287	16	tries	try	VERB
ejpam-48	287	17	to	to	PART
ejpam-48	287	18	explain	explain	VERB
ejpam-48	287	19	to	to	ADP
ejpam-48	287	20	cassie	cassie	NOUN
ejpam-48	287	21	why	why	SCONJ
ejpam-48	287	22	bin	bin	PROPN
ejpam-48	287	23	t	t	PROPN
ejpam-48	287	24	is	be	AUX
ejpam-48	287	25	empty	empty	ADJ
ejpam-48	287	26	at	at	ADP
ejpam-48	287	27	12	12	NUM
ejpam-48	287	28	noon	noon	NOUN
ejpam-48	287	29	:	:	PUNCT
ejpam-48	288	1	sam	sam	PROPN
ejpam-48	288	2	:	:	PUNCT
ejpam-48	288	3	so	so	ADV
ejpam-48	288	4	pick	pick	VERB
ejpam-48	288	5	a	a	DET
ejpam-48	288	6	number	number	NOUN
ejpam-48	288	7	.	.	PUNCT
ejpam-48	289	1	cassie	cassie	NOUN
ejpam-48	289	2	:	:	PUNCT
ejpam-48	289	3	a	a	DET
ejpam-48	289	4	million	million	NUM
ejpam-48	289	5	.	.	PUNCT
ejpam-48	290	1	sam	sam	PROPN
ejpam-48	290	2	:	:	PUNCT
ejpam-48	291	1	alright	alright	INTJ
ejpam-48	291	2	,	,	PUNCT
ejpam-48	291	3	so	so	CCONJ
ejpam-48	291	4	at	at	ADP
ejpam-48	291	5	one	one	NUM
ejpam-48	291	6	over	over	ADP
ejpam-48	291	7	2	2	NUM
ejpam-48	291	8	to	to	ADP
ejpam-48	291	9	the	the	DET
ejpam-48	291	10	million	million	NUM
ejpam-48	291	11	,	,	PUNCT
ejpam-48	291	12	right	right	ADJ
ejpam-48	291	13	?	?	PUNCT
ejpam-48	292	1	that	that	PRON
ejpam-48	292	2	’s	’	VERB
ejpam-48	292	3	really	really	ADV
ejpam-48	292	4	small	small	ADJ
ejpam-48	292	5	,	,	PUNCT
ejpam-48	292	6	right	right	ADJ
ejpam-48	292	7	?	?	PUNCT
ejpam-48	293	1	but	but	CCONJ
ejpam-48	293	2	that	that	PRON
ejpam-48	293	3	’s	’	VERB
ejpam-48	293	4	only	only	ADV
ejpam-48	293	5	relative	relative	ADJ
ejpam-48	293	6	,	,	PUNCT
ejpam-48	293	7	right	right	ADJ
ejpam-48	293	8	?	?	PUNCT
ejpam-48	294	1	cause	cause	SCONJ
ejpam-48	294	2	you	you	PRON
ejpam-48	294	3	’ve	’ve	AUX
ejpam-48	294	4	still	still	ADV
ejpam-48	294	5	got	get	VERB
ejpam-48	294	6	till	till	SCONJ
ejpam-48	294	7	12	12	NUM
ejpam-48	294	8	o’clock	o’clock	NOUN
ejpam-48	294	9	?	?	PUNCT
ejpam-48	295	1	[	[	X
ejpam-48	295	2	as	as	SCONJ
ejpam-48	295	3	sam	sam	PROPN
ejpam-48	295	4	speaks	speak	VERB
ejpam-48	295	5	,	,	PUNCT
ejpam-48	295	6	he	he	PRON
ejpam-48	295	7	writes	write	VERB
ejpam-48	295	8	mil2	mil2	NOUN
ejpam-48	295	9	1	1	NUM
ejpam-48	295	10	to	to	PART
ejpam-48	295	11	indicate	indicate	VERB
ejpam-48	295	12	when	when	SCONJ
ejpam-48	295	13	ball	ball	NOUN
ejpam-48	295	14	1,000,000	1,000,000	NUM
ejpam-48	295	15	is	be	AUX
ejpam-48	295	16	moved	move	VERB
ejpam-48	295	17	to	to	ADP
ejpam-48	295	18	t.	t.	PROPN
ejpam-48	295	19	he	he	PRON
ejpam-48	295	20	then	then	ADV
ejpam-48	295	21	makes	make	VERB
ejpam-48	295	22	two	two	NUM
ejpam-48	295	23	hash	hash	NOUN
ejpam-48	295	24	marks	mark	NOUN
ejpam-48	295	25	|	|	ADV
ejpam-48	295	26	|	|	ADV
ejpam-48	295	27	,	,	PUNCT
ejpam-48	295	28	with	with	ADP
ejpam-48	295	29	12:00	12:00	NUM
ejpam-48	295	30	above	above	ADP
ejpam-48	295	31	the	the	DET
ejpam-48	295	32	left	left	ADJ
ejpam-48	295	33	hash	hash	NOUN
ejpam-48	295	34	mark	mark	NOUN
ejpam-48	295	35	.	.	PUNCT
ejpam-48	296	1	he	he	PRON
ejpam-48	296	2	goes	go	VERB
ejpam-48	296	3	on	on	ADP
ejpam-48	296	4	to	to	PART
ejpam-48	296	5	note	note	VERB
ejpam-48	296	6	that	that	SCONJ
ejpam-48	296	7	there	there	PRON
ejpam-48	296	8	are	be	VERB
ejpam-48	296	9	infinitely	infinitely	ADV
ejpam-48	296	10	many	many	ADJ
ejpam-48	296	11	subdivisions	subdivision	NOUN
ejpam-48	296	12	before	before	ADP
ejpam-48	296	13	12	12	NUM
ejpam-48	296	14	noon	noon	NOUN
ejpam-48	296	15	and	and	CCONJ
ejpam-48	296	16	infinitely	infinitely	ADV
ejpam-48	296	17	many	many	ADJ
ejpam-48	296	18	balls	ball	NOUN
ejpam-48	296	19	in	in	ADP
ejpam-48	296	20	the	the	DET
ejpam-48	296	21	holding	hold	VERB
ejpam-48	296	22	bin	bin	PROPN
ejpam-48	296	23	.	.	PUNCT
ejpam-48	297	1	he	he	PRON
ejpam-48	297	2	makes	make	VERB
ejpam-48	297	3	two	two	NUM
ejpam-48	297	4	columns	column	NOUN
ejpam-48	297	5	,	,	PUNCT
ejpam-48	297	6	one	one	NUM
ejpam-48	297	7	for	for	ADP
ejpam-48	297	8	bin	bin	PROPN
ejpam-48	297	9	a	a	PROPN
ejpam-48	297	10	and	and	CCONJ
ejpam-48	297	11	one	one	NUM
ejpam-48	297	12	for	for	ADP
ejpam-48	297	13	bin	bin	NOUN
ejpam-48	297	14	t.	t.	PROPN
ejpam-48	297	15	as	as	SCONJ
ejpam-48	297	16	he	he	PRON
ejpam-48	297	17	writes	write	VERB
ejpam-48	297	18	,	,	PUNCT
ejpam-48	297	19	he	he	PRON
ejpam-48	297	20	makes	make	VERB
ejpam-48	297	21	the	the	DET
ejpam-48	297	22	following	follow	VERB
ejpam-48	297	23	remark	remark	NOUN
ejpam-48	297	24	:]	:]	PROPN
ejpam-48	297	25	figure	figure	NOUN
ejpam-48	297	26	1	1	NUM
ejpam-48	297	27	:	:	PUNCT
ejpam-48	297	28	sam	sam	PROPN
ejpam-48	297	29	’s	’s	PART
ejpam-48	297	30	written	write	VERB
ejpam-48	297	31	work	work	NOUN
ejpam-48	297	32	:	:	PUNCT
ejpam-48	297	33	relation	relation	NOUN
ejpam-48	297	34	of	of	ADP
ejpam-48	297	35	time	time	NOUN
ejpam-48	297	36	and	and	CCONJ
ejpam-48	297	37	the	the	DET
ejpam-48	297	38	correspondence	correspondence	NOUN
ejpam-48	297	39	e.	e.	PROPN
ejpam-48	297	40	dubinsky	dubinsky	PROPN
ejpam-48	297	41	et	et	PROPN
ejpam-48	297	42	al	al	PROPN
ejpam-48	297	43	.	.	PUNCT
ejpam-48	297	44	/	/	SYM
ejpam-48	297	45	eur	eur	PROPN
ejpam-48	297	46	.	.	PUNCT
ejpam-48	298	1	j.	j.	PROPN
ejpam-48	298	2	pure	pure	PROPN
ejpam-48	298	3	.	.	PUNCT
ejpam-48	299	1	appl	appl	PROPN
ejpam-48	299	2	.	.	PUNCT
ejpam-48	299	3	math	math	NOUN
ejpam-48	299	4	.	.	PUNCT
ejpam-48	300	1	1	1	NUM
ejpam-48	300	2	,	,	PUNCT
ejpam-48	300	3	(	(	PUNCT
ejpam-48	300	4	2008	2008	NUM
ejpam-48	300	5	)	)	PUNCT
ejpam-48	300	6	,	,	PUNCT
ejpam-48	300	7	(	(	PUNCT
ejpam-48	300	8	99	99	NUM
ejpam-48	300	9	-	-	SYM
ejpam-48	300	10	121	121	NUM
ejpam-48	300	11	)	)	PUNCT
ejpam-48	300	12	109	109	NUM
ejpam-48	300	13	sam	sam	NOUN
ejpam-48	300	14	:	:	PUNCT
ejpam-48	301	1	yeah	yeah	INTJ
ejpam-48	301	2	,	,	PUNCT
ejpam-48	301	3	like	like	INTJ
ejpam-48	301	4	each	each	DET
ejpam-48	301	5	time	time	NOUN
ejpam-48	301	6	you	you	PRON
ejpam-48	301	7	have	have	VERB
ejpam-48	301	8	a	a	DET
ejpam-48	301	9	number	number	NOUN
ejpam-48	301	10	in	in	ADP
ejpam-48	301	11	here	here	ADV
ejpam-48	301	12	[	[	X
ejpam-48	301	13	in	in	ADP
ejpam-48	301	14	the	the	DET
ejpam-48	301	15	holding	hold	VERB
ejpam-48	301	16	bin	bin	NOUN
ejpam-48	301	17	]	]	PUNCT
ejpam-48	301	18	,	,	PUNCT
ejpam-48	301	19	you	you	PRON
ejpam-48	301	20	’ve	’ve	AUX
ejpam-48	301	21	got	get	VERB
ejpam-48	301	22	the	the	DET
ejpam-48	301	23	number	number	NOUN
ejpam-48	301	24	over	over	ADV
ejpam-48	301	25	here	here	ADV
ejpam-48	301	26	,	,	PUNCT
ejpam-48	301	27	right	right	ADJ
ejpam-48	302	1	[	[	X
ejpam-48	302	2	in	in	ADP
ejpam-48	302	3	t	t	PROPN
ejpam-48	302	4	]	]	PUNCT
ejpam-48	302	5	?	?	PUNCT
ejpam-48	303	1	so	so	ADV
ejpam-48	303	2	,	,	PUNCT
ejpam-48	303	3	if	if	SCONJ
ejpam-48	303	4	you	you	PRON
ejpam-48	303	5	say	say	VERB
ejpam-48	303	6	like	like	ADP
ejpam-48	303	7	this	this	PRON
ejpam-48	303	8	is	be	AUX
ejpam-48	303	9	one	one	NUM
ejpam-48	303	10	over	over	ADP
ejpam-48	303	11	two	two	NUM
ejpam-48	303	12	etcetera	etcetera	NOUN
ejpam-48	303	13	,	,	PUNCT
ejpam-48	303	14	etcetera	etcetera	NOUN
ejpam-48	303	15	,	,	PUNCT
ejpam-48	303	16	etcetera	etcetera	NOUN
ejpam-48	303	17	…	…	PUNCT
ejpam-48	303	18	converging	converge	VERB
ejpam-48	303	19	to	to	ADP
ejpam-48	303	20	zero	zero	NUM
ejpam-48	303	21	.	.	PUNCT
ejpam-48	304	1	[	[	X
ejpam-48	304	2	sam	sam	PROPN
ejpam-48	304	3	makes	make	VERB
ejpam-48	304	4	a	a	DET
ejpam-48	304	5	number	number	NOUN
ejpam-48	304	6	of	of	ADP
ejpam-48	304	7	hand	hand	NOUN
ejpam-48	304	8	gestures	gesture	NOUN
ejpam-48	304	9	.	.	PUNCT
ejpam-48	305	1	as	as	SCONJ
ejpam-48	305	2	he	he	PRON
ejpam-48	305	3	points	point	VERB
ejpam-48	305	4	to	to	ADP
ejpam-48	305	5	columns	column	NOUN
ejpam-48	305	6	a	a	PRON
ejpam-48	305	7	and	and	CCONJ
ejpam-48	305	8	t	t	PROPN
ejpam-48	305	9	and	and	CCONJ
ejpam-48	305	10	notes	note	VERB
ejpam-48	305	11	the	the	DET
ejpam-48	305	12	successive	successive	ADJ
ejpam-48	305	13	movement	movement	NOUN
ejpam-48	305	14	of	of	ADP
ejpam-48	305	15	balls	ball	NOUN
ejpam-48	305	16	from	from	ADP
ejpam-48	305	17	a	a	PRON
ejpam-48	305	18	to	to	ADP
ejpam-48	305	19	t	t	PROPN
ejpam-48	305	20	,	,	PUNCT
ejpam-48	305	21	he	he	PRON
ejpam-48	305	22	makes	make	VERB
ejpam-48	305	23	several	several	ADJ
ejpam-48	305	24	marks	mark	NOUN
ejpam-48	305	25	in	in	ADP
ejpam-48	305	26	the	the	DET
ejpam-48	305	27	interval	interval	NOUN
ejpam-48	305	28	(	(	PUNCT
ejpam-48	305	29	between	between	ADP
ejpam-48	305	30	|	|	ADV
ejpam-48	305	31	|	|	NOUN
ejpam-48	305	32	)	)	PUNCT
ejpam-48	305	33	to	to	PART
ejpam-48	305	34	represent	represent	VERB
ejpam-48	305	35	the	the	DET
ejpam-48	305	36	movement	movement	NOUN
ejpam-48	305	37	of	of	ADP
ejpam-48	305	38	successive	successive	ADJ
ejpam-48	305	39	balls	ball	NOUN
ejpam-48	305	40	as	as	SCONJ
ejpam-48	305	41	he	he	PRON
ejpam-48	305	42	continues	continue	VERB
ejpam-48	305	43	:]	:]	PROPN
ejpam-48	305	44	sam	sam	PROPN
ejpam-48	305	45	:	:	PUNCT
ejpam-48	305	46	each	each	DET
ejpam-48	305	47	time	time	NOUN
ejpam-48	305	48	you	you	PRON
ejpam-48	305	49	getnover	getnover	VERB
ejpam-48	305	50	here	here	ADV
ejpam-48	305	51	,	,	PUNCT
ejpam-48	306	1	right	right	ADJ
ejpam-48	306	2	[	[	X
ejpam-48	306	3	in	in	ADP
ejpam-48	306	4	t	t	PROPN
ejpam-48	306	5	]	]	PUNCT
ejpam-48	306	6	?	?	PUNCT
ejpam-48	307	1	so	so	ADV
ejpam-48	307	2	you	you	PRON
ejpam-48	307	3	’ve	’ve	AUX
ejpam-48	307	4	got	get	VERB
ejpam-48	307	5	one	one	NUM
ejpam-48	307	6	here	here	ADV
ejpam-48	307	7	,	,	PUNCT
ejpam-48	307	8	two	two	NUM
ejpam-48	307	9	here	here	ADV
ejpam-48	307	10	,	,	PUNCT
ejpam-48	307	11	three	three	NUM
ejpam-48	307	12	here	here	ADV
ejpam-48	307	13	,	,	PUNCT
ejpam-48	307	14	four	four	NUM
ejpam-48	307	15	here	here	ADV
ejpam-48	307	16	,	,	PUNCT
ejpam-48	307	17	but	but	CCONJ
ejpam-48	307	18	you	you	PRON
ejpam-48	307	19	do	do	VERB
ejpam-48	307	20	that	that	PRON
ejpam-48	307	21	an	an	DET
ejpam-48	307	22	infinite	infinite	ADJ
ejpam-48	307	23	amount	amount	NOUN
ejpam-48	307	24	of	of	ADP
ejpam-48	307	25	times	time	NOUN
ejpam-48	307	26	.	.	PUNCT
ejpam-48	308	1	here	here	ADV
ejpam-48	308	2	,	,	PUNCT
ejpam-48	308	3	we	we	PRON
ejpam-48	308	4	see	see	VERB
ejpam-48	308	5	evidence	evidence	NOUN
ejpam-48	308	6	of	of	ADP
ejpam-48	308	7	coordination	coordination	NOUN
ejpam-48	308	8	:	:	PUNCT
ejpam-48	308	9	for	for	ADP
ejpam-48	308	10	each	each	DET
ejpam-48	308	11	stepn	stepn	NOUN
ejpam-48	308	12	,	,	PUNCT
ejpam-48	308	13	which	which	PRON
ejpam-48	308	14	occurs	occur	VERB
ejpam-48	308	15	n2	n2	ADJ
ejpam-48	308	16	1	1	NUM
ejpam-48	308	17	minutes	minute	NOUN
ejpam-48	308	18	before	before	ADP
ejpam-48	308	19	12	12	NUM
ejpam-48	308	20	noon	noon	NOUN
ejpam-48	308	21	,	,	PUNCT
ejpam-48	308	22	ballnis	ballnis	PROPN
ejpam-48	308	23	moved	move	VERB
ejpam-48	308	24	from	from	ADP
ejpam-48	308	25	bin	bin	PROPN
ejpam-48	308	26	a	a	PRON
ejpam-48	308	27	to	to	ADP
ejpam-48	308	28	bin	bin	PROPN
ejpam-48	308	29	t.	t.	PROPN
ejpam-48	308	30	sam	sam	PROPN
ejpam-48	308	31	’s	’s	PART
ejpam-48	308	32	gestures	gesture	NOUN
ejpam-48	308	33	,	,	PUNCT
ejpam-48	308	34	together	together	ADV
ejpam-48	308	35	with	with	ADP
ejpam-48	308	36	his	his	PRON
ejpam-48	308	37	comment	comment	NOUN
ejpam-48	308	38	,	,	PUNCT
ejpam-48	308	39	“	"	PUNCT
ejpam-48	308	40	you	you	PRON
ejpam-48	308	41	do	do	VERB
ejpam-48	308	42	that	that	PRON
ejpam-48	308	43	an	an	DET
ejpam-48	308	44	infinite	infinite	ADJ
ejpam-48	308	45	amount	amount	NOUN
ejpam-48	308	46	of	of	ADP
ejpam-48	308	47	times	time	NOUN
ejpam-48	308	48	,	,	PUNCT
ejpam-48	308	49	”	"	PUNCT
ejpam-48	308	50	suggest	suggest	VERB
ejpam-48	308	51	that	that	SCONJ
ejpam-48	308	52	he	he	PRON
ejpam-48	308	53	sees	see	VERB
ejpam-48	308	54	the	the	DET
ejpam-48	308	55	coordination	coordination	NOUN
ejpam-48	308	56	as	as	ADP
ejpam-48	308	57	continuing	continue	VERB
ejpam-48	308	58	indefinitely	indefinitely	ADV
ejpam-48	308	59	.	.	PUNCT
ejpam-48	309	1	what	what	PRON
ejpam-48	309	2	remains	remain	VERB
ejpam-48	309	3	unclear	unclear	ADJ
ejpam-48	309	4	is	be	AUX
ejpam-48	309	5	the	the	DET
ejpam-48	309	6	explicit	explicit	ADJ
ejpam-48	309	7	construction	construction	NOUN
ejpam-48	309	8	of	of	ADP
ejpam-48	309	9	an	an	DET
ejpam-48	309	10	infinite	infinite	ADJ
ejpam-48	309	11	iterative	iterative	NOUN
ejpam-48	309	12	process	process	NOUN
ejpam-48	309	13	for	for	ADP
ejpam-48	309	14	the	the	DET
ejpam-48	309	15	movement	movement	NOUN
ejpam-48	309	16	of	of	ADP
ejpam-48	309	17	the	the	DET
ejpam-48	309	18	tennis	tennis	NOUN
ejpam-48	309	19	balls	ball	NOUN
ejpam-48	309	20	.	.	PUNCT
ejpam-48	310	1	in	in	ADP
ejpam-48	310	2	an	an	DET
ejpam-48	310	3	attempt	attempt	NOUN
ejpam-48	310	4	to	to	PART
ejpam-48	310	5	answer	answer	VERB
ejpam-48	310	6	this	this	DET
ejpam-48	310	7	question	question	NOUN
ejpam-48	310	8	,	,	PUNCT
ejpam-48	310	9	the	the	DET
ejpam-48	310	10	interviewer	interviewer	NOUN
ejpam-48	310	11	asks	ask	VERB
ejpam-48	310	12	sam	sam	PROPN
ejpam-48	310	13	how	how	SCONJ
ejpam-48	310	14	he	he	PRON
ejpam-48	310	15	would	would	AUX
ejpam-48	310	16	conceive	conceive	VERB
ejpam-48	310	17	of	of	ADP
ejpam-48	310	18	the	the	DET
ejpam-48	310	19	tennis	tennis	NOUN
ejpam-48	310	20	ball	ball	NOUN
ejpam-48	310	21	problem	problem	NOUN
ejpam-48	310	22	without	without	ADP
ejpam-48	310	23	the	the	DET
ejpam-48	310	24	connection	connection	NOUN
ejpam-48	310	25	to	to	ADP
ejpam-48	310	26	the	the	DET
ejpam-48	310	27	time	time	NOUN
ejpam-48	310	28	process	process	NOUN
ejpam-48	310	29	:	:	PUNCT
ejpam-48	310	30	sam	sam	PROPN
ejpam-48	310	31	:	:	PUNCT
ejpam-48	310	32	at	at	ADP
ejpam-48	310	33	time	time	NOUN
ejpam-48	310	34	one	one	NUM
ejpam-48	310	35	you	you	PRON
ejpam-48	310	36	push	push	VERB
ejpam-48	310	37	the	the	DET
ejpam-48	310	38	button	button	NOUN
ejpam-48	310	39	,	,	PUNCT
ejpam-48	310	40	at	at	ADP
ejpam-48	310	41	time	time	NOUN
ejpam-48	310	42	two	two	NUM
ejpam-48	310	43	you	you	PRON
ejpam-48	310	44	push	push	VERB
ejpam-48	310	45	the	the	DET
ejpam-48	310	46	button	button	NOUN
ejpam-48	310	47	,	,	PUNCT
ejpam-48	310	48	at	at	ADP
ejpam-48	310	49	time	time	NOUN
ejpam-48	310	50	three	three	NUM
ejpam-48	310	51	you	you	PRON
ejpam-48	310	52	push	push	VERB
ejpam-48	310	53	the	the	DET
ejpam-48	310	54	button	button	NOUN
ejpam-48	310	55	,	,	PUNCT
ejpam-48	310	56	so	so	SCONJ
ejpam-48	310	57	it	it	PRON
ejpam-48	310	58	never	never	ADV
ejpam-48	310	59	ends	end	VERB
ejpam-48	310	60	,	,	PUNCT
ejpam-48	310	61	you	you	PRON
ejpam-48	310	62	keep	keep	VERB
ejpam-48	310	63	pushing	push	VERB
ejpam-48	310	64	the	the	DET
ejpam-48	310	65	button	button	NOUN
ejpam-48	310	66	.	.	PUNCT
ejpam-48	311	1	if	if	SCONJ
ejpam-48	311	2	you	you	PRON
ejpam-48	311	3	get	get	VERB
ejpam-48	311	4	to	to	ADP
ejpam-48	311	5	like	like	VERB
ejpam-48	311	6	somen	soman	NOUN
ejpam-48	311	7	,	,	PUNCT
ejpam-48	311	8	well	well	INTJ
ejpam-48	311	9	you	you	PRON
ejpam-48	311	10	still	still	ADV
ejpam-48	311	11	have	have	VERB
ejpam-48	311	12	to	to	PART
ejpam-48	311	13	push	push	VERB
ejpam-48	311	14	the	the	DET
ejpam-48	311	15	button	button	NOUN
ejpam-48	311	16	again	again	ADV
ejpam-48	311	17	.	.	PUNCT
ejpam-48	312	1	so	so	ADV
ejpam-48	312	2	there	there	PRON
ejpam-48	312	3	’s	’	VERB
ejpam-48	312	4	like	like	INTJ
ejpam-48	312	5	no	no	INTJ
ejpam-48	312	6	really	really	ADV
ejpam-48	312	7	,	,	PUNCT
ejpam-48	312	8	i	i	PRON
ejpam-48	312	9	guess	guess	VERB
ejpam-48	312	10	i	i	PRON
ejpam-48	312	11	do	do	AUX
ejpam-48	312	12	n’t	not	PART
ejpam-48	312	13	see	see	VERB
ejpam-48	312	14	a	a	DET
ejpam-48	312	15	stopping	stopping	NOUN
ejpam-48	312	16	point	point	NOUN
ejpam-48	312	17	.	.	PUNCT
ejpam-48	313	1	without	without	ADP
ejpam-48	313	2	an	an	DET
ejpam-48	313	3	explicit	explicit	ADJ
ejpam-48	313	4	connection	connection	NOUN
ejpam-48	313	5	to	to	ADP
ejpam-48	313	6	time	time	NOUN
ejpam-48	313	7	,	,	PUNCT
ejpam-48	313	8	sam	sam	PROPN
ejpam-48	313	9	sees	see	VERB
ejpam-48	313	10	the	the	DET
ejpam-48	313	11	iterative	iterative	NOUN
ejpam-48	313	12	process	process	NOUN
ejpam-48	313	13	of	of	ADP
ejpam-48	313	14	moving	move	VERB
ejpam-48	313	15	the	the	DET
ejpam-48	313	16	balls	ball	NOUN
ejpam-48	313	17	as	as	ADP
ejpam-48	313	18	incomplete	incomplete	ADJ
ejpam-48	313	19	.	.	PUNCT
ejpam-48	314	1	this	this	PRON
ejpam-48	314	2	prompted	prompt	VERB
ejpam-48	314	3	the	the	DET
ejpam-48	314	4	interviewer	interviewer	NOUN
ejpam-48	314	5	to	to	PART
ejpam-48	314	6	inquire	inquire	VERB
ejpam-48	314	7	further	far	ADV
ejpam-48	314	8	about	about	ADP
ejpam-48	314	9	the	the	DET
ejpam-48	314	10	effect	effect	NOUN
ejpam-48	314	11	of	of	ADP
ejpam-48	314	12	the	the	DET
ejpam-48	314	13	connection	connection	NOUN
ejpam-48	314	14	to	to	ADP
ejpam-48	314	15	time	time	NOUN
ejpam-48	314	16	:	:	PUNCT
ejpam-48	315	1	i	i	PRON
ejpam-48	315	2	:	:	PUNCT
ejpam-48	315	3	so	so	ADV
ejpam-48	315	4	the	the	DET
ejpam-48	315	5	12	12	NUM
ejpam-48	315	6	o’clock	o’clock	NOUN
ejpam-48	315	7	thing	thing	NOUN
ejpam-48	315	8	sets	set	VERB
ejpam-48	315	9	up	up	ADP
ejpam-48	315	10	for	for	ADP
ejpam-48	315	11	you	you	PRON
ejpam-48	315	12	a	a	DET
ejpam-48	315	13	way	way	NOUN
ejpam-48	315	14	of	of	ADP
ejpam-48	315	15	…	…	PUNCT
ejpam-48	315	16	sam	sam	PROPN
ejpam-48	315	17	:	:	PUNCT
ejpam-48	315	18	saying	say	VERB
ejpam-48	315	19	okay	okay	INTJ
ejpam-48	315	20	all	all	PRON
ejpam-48	315	21	of	of	ADP
ejpam-48	315	22	these	these	PRON
ejpam-48	315	23	already	already	ADV
ejpam-48	315	24	happened	happen	VERB
ejpam-48	315	25	.	.	PUNCT
ejpam-48	316	1	and	and	CCONJ
ejpam-48	316	2	then	then	ADV
ejpam-48	316	3	okay	okay	INTJ
ejpam-48	316	4	here	here	ADV
ejpam-48	316	5	’s	’	VERB
ejpam-48	316	6	the	the	DET
ejpam-48	316	7	end	end	NOUN
ejpam-48	316	8	.	.	PUNCT
ejpam-48	317	1	for	for	ADP
ejpam-48	317	2	sam	sam	PROPN
ejpam-48	317	3	,	,	PUNCT
ejpam-48	317	4	12	12	NUM
ejpam-48	317	5	noon	noon	NOUN
ejpam-48	317	6	indicates	indicate	VERB
ejpam-48	317	7	the	the	DET
ejpam-48	317	8	“	"	PUNCT
ejpam-48	317	9	next	next	ADJ
ejpam-48	317	10	”	"	PUNCT
ejpam-48	317	11	step	step	NOUN
ejpam-48	317	12	beyond	beyond	ADP
ejpam-48	317	13	completion	completion	NOUN
ejpam-48	317	14	of	of	ADP
ejpam-48	317	15	the	the	DET
ejpam-48	317	16	infinitely	infinitely	ADV
ejpam-48	317	17	many	many	ADJ
ejpam-48	317	18	subdivision	subdivision	NOUN
ejpam-48	317	19	steps	step	NOUN
ejpam-48	317	20	.	.	PUNCT
ejpam-48	318	1	coordination	coordination	NOUN
ejpam-48	318	2	of	of	ADP
ejpam-48	318	3	the	the	DET
ejpam-48	318	4	time	time	NOUN
ejpam-48	318	5	process	process	NOUN
ejpam-48	318	6	with	with	ADP
ejpam-48	318	7	the	the	DET
ejpam-48	318	8	process	process	NOUN
ejpam-48	318	9	of	of	ADP
ejpam-48	318	10	moving	move	VERB
ejpam-48	318	11	the	the	DET
ejpam-48	318	12	balls	ball	NOUN
ejpam-48	318	13	facilitates	facilitate	VERB
ejpam-48	318	14	a	a	DET
ejpam-48	318	15	conception	conception	NOUN
ejpam-48	318	16	of	of	ADP
ejpam-48	318	17	the	the	DET
ejpam-48	318	18	latter	latter	ADJ
ejpam-48	318	19	process	process	NOUN
ejpam-48	318	20	as	as	ADV
ejpam-48	318	21	complete	complete	ADJ
ejpam-48	318	22	.	.	PUNCT
ejpam-48	319	1	consequently	consequently	ADV
ejpam-48	319	2	,	,	PUNCT
ejpam-48	319	3	sam	sam	PROPN
ejpam-48	319	4	focuses	focus	VERB
ejpam-48	319	5	attention	attention	NOUN
ejpam-48	319	6	on	on	ADP
ejpam-48	319	7	the	the	DET
ejpam-48	319	8	movement	movement	NOUN
ejpam-48	319	9	of	of	ADP
ejpam-48	319	10	each	each	DET
ejpam-48	319	11	ball	ball	NOUN
ejpam-48	319	12	,	,	PUNCT
ejpam-48	319	13	that	that	ADV
ejpam-48	319	14	is	is	ADV
ejpam-48	319	15	,	,	PUNCT
ejpam-48	319	16	consideration	consideration	NOUN
ejpam-48	319	17	of	of	ADP
ejpam-48	319	18	the	the	DET
ejpam-48	319	19	correspondence	correspondence	NOUN
ejpam-48	319	20	t	t	PROPN
ejpam-48	319	21	:	:	PUNCT
ejpam-48	319	22	→nn	→nn	X
ejpam-48	319	23	,	,	PUNCT
ejpam-48	319	24	which	which	PRON
ejpam-48	319	25	he	he	PRON
ejpam-48	319	26	conceives	conceive	VERB
ejpam-48	319	27	as	as	ADP
ejpam-48	319	28	a	a	DET
ejpam-48	319	29	totality	totality	NOUN
ejpam-48	319	30	.	.	PUNCT
ejpam-48	320	1	this	this	PRON
ejpam-48	320	2	enables	enable	VERB
ejpam-48	320	3	him	he	PRON
ejpam-48	320	4	to	to	PART
ejpam-48	320	5	make	make	VERB
ejpam-48	320	6	an	an	DET
ejpam-48	320	7	encapsulation	encapsulation	NOUN
ejpam-48	320	8	to	to	PART
ejpam-48	320	9	obtain	obtain	VERB
ejpam-48	320	10	the	the	DET
ejpam-48	320	11	correct	correct	ADJ
ejpam-48	320	12	result	result	NOUN
ejpam-48	320	13	:	:	PUNCT
ejpam-48	320	14	sam	sam	PROPN
ejpam-48	320	15	:	:	PUNCT
ejpam-48	320	16	so	so	ADV
ejpam-48	320	17	i	i	PRON
ejpam-48	320	18	keep	keep	VERB
ejpam-48	320	19	going	go	VERB
ejpam-48	320	20	,	,	PUNCT
ejpam-48	320	21	so	so	ADV
ejpam-48	320	22	any	any	DET
ejpam-48	320	23	time	time	NOUN
ejpam-48	320	24	i	i	PRON
ejpam-48	320	25	choose	choose	VERB
ejpam-48	320	26	ann	ann	PROPN
ejpam-48	320	27	,	,	PUNCT
ejpam-48	320	28	like	like	ADP
ejpam-48	320	29	say	say	VERB
ejpam-48	320	30	i	i	PRON
ejpam-48	320	31	choose	choose	VERB
ejpam-48	320	32	an	an	DET
ejpam-48	320	33	nout	nout	NOUN
ejpam-48	320	34	of	of	ADP
ejpam-48	320	35	the	the	DET
ejpam-48	320	36	holding	hold	VERB
ejpam-48	320	37	thing	thing	NOUN
ejpam-48	320	38	.	.	PUNCT
ejpam-48	321	1	well	well	INTJ
ejpam-48	321	2	after	after	ADP
ejpam-48	321	3	the	the	DET
ejpam-48	321	4	thn	thn	PROPN
ejpam-48	321	5	time	time	NOUN
ejpam-48	321	6	,	,	PUNCT
ejpam-48	321	7	it	it	PRON
ejpam-48	321	8	’s	’s	AUX
ejpam-48	321	9	gon	go	VERB
ejpam-48	321	10	na	to	PART
ejpam-48	321	11	be	be	AUX
ejpam-48	321	12	in	in	ADP
ejpam-48	321	13	t	t	PROPN
ejpam-48	321	14	,	,	PUNCT
ejpam-48	321	15	and	and	CCONJ
ejpam-48	321	16	so	so	SCONJ
ejpam-48	321	17	that	that	SCONJ
ejpam-48	321	18	for	for	ADP
ejpam-48	321	19	me	i	PRON
ejpam-48	321	20	was	be	AUX
ejpam-48	321	21	like	like	ADP
ejpam-48	321	22	saying	say	VERB
ejpam-48	321	23	,	,	PUNCT
ejpam-48	321	24	okay	okay	INTJ
ejpam-48	321	25	,	,	PUNCT
ejpam-48	321	26	if	if	SCONJ
ejpam-48	321	27	i	i	PRON
ejpam-48	321	28	have	have	VERB
ejpam-48	321	29	ann	ann	PROPN
ejpam-48	321	30	,	,	PUNCT
ejpam-48	321	31	nhas	nha	VERB
ejpam-48	321	32	to	to	PART
ejpam-48	321	33	be	be	AUX
ejpam-48	321	34	in	in	ADP
ejpam-48	321	35	t	t	PROPN
ejpam-48	321	36	,	,	PUNCT
ejpam-48	321	37	so	so	SCONJ
ejpam-48	321	38	that	that	PRON
ejpam-48	321	39	means	mean	VERB
ejpam-48	321	40	all	all	DET
ejpam-48	321	41	the	the	DET
ejpam-48	321	42	holding	hold	VERB
ejpam-48	321	43	bin	bin	PROPN
ejpam-48	321	44	will	will	AUX
ejpam-48	321	45	end	end	VERB
ejpam-48	321	46	up	up	ADP
ejpam-48	321	47	in	in	ADP
ejpam-48	321	48	t.	t.	PROPN
ejpam-48	321	49	once	once	SCONJ
ejpam-48	321	50	sam	sam	PROPN
ejpam-48	321	51	makes	make	VERB
ejpam-48	321	52	these	these	DET
ejpam-48	321	53	mental	mental	ADJ
ejpam-48	321	54	constructions	construction	NOUN
ejpam-48	321	55	,	,	PUNCT
ejpam-48	321	56	he	he	PRON
ejpam-48	321	57	applies	apply	VERB
ejpam-48	321	58	the	the	DET
ejpam-48	321	59	relevant	relevant	ADJ
ejpam-48	321	60	mathematics	mathematic	NOUN
ejpam-48	321	61	,	,	PUNCT
ejpam-48	321	62	in	in	ADP
ejpam-48	321	63	response	response	NOUN
ejpam-48	321	64	to	to	ADP
ejpam-48	321	65	an	an	DET
ejpam-48	321	66	interviewer	interviewer	ADJ
ejpam-48	321	67	query	query	NOUN
ejpam-48	321	68	,	,	PUNCT
ejpam-48	321	69	and	and	CCONJ
ejpam-48	321	70	argues	argue	VERB
ejpam-48	321	71	that	that	SCONJ
ejpam-48	321	72	bin	bin	PROPN
ejpam-48	321	73	a	a	PRON
ejpam-48	321	74	is	be	AUX
ejpam-48	321	75	empty	empty	ADJ
ejpam-48	321	76	using	use	VERB
ejpam-48	321	77	a	a	DET
ejpam-48	321	78	proof	proof	NOUN
ejpam-48	321	79	by	by	ADP
ejpam-48	321	80	contradiction	contradiction	NOUN
ejpam-48	321	81	.	.	PUNCT
ejpam-48	322	1	analysis	analysis	NOUN
ejpam-48	322	2	of	of	ADP
ejpam-48	322	3	the	the	DET
ejpam-48	322	4	interview	interview	NOUN
ejpam-48	322	5	with	with	ADP
ejpam-48	322	6	audrey	audrey	NOUN
ejpam-48	322	7	in	in	ADP
ejpam-48	322	8	contrast	contrast	NOUN
ejpam-48	322	9	to	to	ADP
ejpam-48	322	10	sam	sam	PROPN
ejpam-48	322	11	,	,	PUNCT
ejpam-48	322	12	neither	neither	CCONJ
ejpam-48	322	13	audrey	audrey	PROPN
ejpam-48	322	14	,	,	PUNCT
ejpam-48	322	15	a	a	DET
ejpam-48	322	16	senior	senior	ADJ
ejpam-48	322	17	mathematics	mathematic	NOUN
ejpam-48	322	18	major	major	NOUN
ejpam-48	322	19	,	,	PUNCT
ejpam-48	322	20	nor	nor	CCONJ
ejpam-48	322	21	her	her	PRON
ejpam-48	322	22	partner	partner	NOUN
ejpam-48	322	23	sol	sol	NOUN
ejpam-48	322	24	,	,	PUNCT
ejpam-48	322	25	also	also	ADV
ejpam-48	322	26	a	a	DET
ejpam-48	322	27	senior	senior	ADJ
ejpam-48	322	28	mathematics	mathematic	NOUN
ejpam-48	322	29	major	major	NOUN
ejpam-48	322	30	,	,	PUNCT
ejpam-48	322	31	see	see	VERB
ejpam-48	322	32	the	the	DET
ejpam-48	322	33	process	process	NOUN
ejpam-48	322	34	of	of	ADP
ejpam-48	322	35	subdividing	subdivide	VERB
ejpam-48	322	36	the	the	DET
ejpam-48	322	37	half	half	ADJ
ejpam-48	322	38	minute	minute	NOUN
ejpam-48	322	39	interval	interval	NOUN
ejpam-48	322	40	before	before	ADP
ejpam-48	322	41	12	12	NUM
ejpam-48	322	42	noon	noon	NOUN
ejpam-48	322	43	as	as	ADP
ejpam-48	322	44	complete	complete	ADJ
ejpam-48	322	45	:	:	PUNCT
ejpam-48	322	46	sol	sol	NOUN
ejpam-48	322	47	:	:	PUNCT
ejpam-48	322	48	this	this	DET
ejpam-48	322	49	little	little	ADJ
ejpam-48	322	50	number	number	NOUN
ejpam-48	322	51	’s	’s	PART
ejpam-48	322	52	gon	go	NOUN
ejpam-48	322	53	na	to	PART
ejpam-48	322	54	have	have	VERB
ejpam-48	322	55	to	to	PART
ejpam-48	322	56	be	be	AUX
ejpam-48	322	57	before	before	ADP
ejpam-48	322	58	12	12	NUM
ejpam-48	322	59	.	.	PUNCT
ejpam-48	323	1	so	so	ADV
ejpam-48	323	2	it	it	PRON
ejpam-48	323	3	’s	’s	AUX
ejpam-48	323	4	actually	actually	ADV
ejpam-48	323	5	gon	go	VERB
ejpam-48	323	6	na	to	PART
ejpam-48	323	7	be	be	AUX
ejpam-48	323	8	12	12	NUM
ejpam-48	323	9	minus	minus	NUM
ejpam-48	323	10	…	…	SYM
ejpam-48	323	11	one	one	NUM
ejpam-48	323	12	sixteenth	sixteenth	NOUN
ejpam-48	323	13	…	…	PUNCT
ejpam-48	323	14	so	so	ADV
ejpam-48	323	15	that	that	PRON
ejpam-48	323	16	’s	’	VERB
ejpam-48	323	17	powers	power	NOUN
ejpam-48	323	18	of	of	ADP
ejpam-48	323	19	two	two	NUM
ejpam-48	323	20	and	and	CCONJ
ejpam-48	323	21	…	…	PUNCT
ejpam-48	323	22	audrey	audrey	NOUN
ejpam-48	323	23	:	:	PUNCT
ejpam-48	323	24	but	but	CCONJ
ejpam-48	323	25	you	you	PRON
ejpam-48	323	26	can	can	AUX
ejpam-48	323	27	go	go	VERB
ejpam-48	323	28	on	on	ADP
ejpam-48	323	29	infinitely	infinitely	ADV
ejpam-48	323	30	with	with	ADP
ejpam-48	323	31	the	the	DET
ejpam-48	323	32	…	…	PUNCT
ejpam-48	323	33	e.	e.	PROPN
ejpam-48	323	34	dubinsky	dubinsky	PROPN
ejpam-48	323	35	et	et	PROPN
ejpam-48	323	36	al	al	PROPN
ejpam-48	323	37	.	.	PUNCT
ejpam-48	323	38	/	/	SYM
ejpam-48	323	39	eur	eur	PROPN
ejpam-48	323	40	.	.	PUNCT
ejpam-48	324	1	j.	j.	PROPN
ejpam-48	324	2	pure	pure	PROPN
ejpam-48	324	3	.	.	PUNCT
ejpam-48	325	1	appl	appl	PROPN
ejpam-48	325	2	.	.	PUNCT
ejpam-48	325	3	math	math	NOUN
ejpam-48	325	4	.	.	PUNCT
ejpam-48	326	1	1	1	NUM
ejpam-48	326	2	,	,	PUNCT
ejpam-48	326	3	(	(	PUNCT
ejpam-48	326	4	2008	2008	NUM
ejpam-48	326	5	)	)	PUNCT
ejpam-48	326	6	,	,	PUNCT
ejpam-48	326	7	(	(	PUNCT
ejpam-48	326	8	99	99	NUM
ejpam-48	326	9	-	-	SYM
ejpam-48	326	10	121	121	NUM
ejpam-48	326	11	)	)	PUNCT
ejpam-48	326	12	110	110	NUM
ejpam-48	326	13	sol	sol	NOUN
ejpam-48	326	14	:	:	PUNCT
ejpam-48	326	15	yep	yep	INTJ
ejpam-48	326	16	,	,	PUNCT
ejpam-48	326	17	you	you	PRON
ejpam-48	326	18	would	would	AUX
ejpam-48	326	19	never	never	ADV
ejpam-48	326	20	…	…	PUNCT
ejpam-48	326	21	you	you	PRON
ejpam-48	326	22	would	would	AUX
ejpam-48	326	23	never	never	ADV
ejpam-48	326	24	reach	reach	VERB
ejpam-48	326	25	12	12	NUM
ejpam-48	326	26	o’clock	o’clock	NOUN
ejpam-48	326	27	with	with	ADP
ejpam-48	326	28	this	this	PRON
ejpam-48	326	29	,	,	PUNCT
ejpam-48	326	30	but	but	CCONJ
ejpam-48	326	31	anyways	anyways	INTJ
ejpam-48	326	32	this	this	PRON
ejpam-48	326	33	would	would	AUX
ejpam-48	326	34	just	just	ADV
ejpam-48	326	35	be	be	AUX
ejpam-48	326	36	all	all	DET
ejpam-48	326	37	the	the	DET
ejpam-48	326	38	numbers	number	NOUN
ejpam-48	326	39	1	1	NUM
ejpam-48	326	40	to	to	ADP
ejpam-48	326	41	…	…	PUNCT
ejpam-48	326	42	audrey	audrey	NOUN
ejpam-48	326	43	:	:	PUNCT
ejpam-48	326	44	as	as	ADV
ejpam-48	326	45	close	close	ADV
ejpam-48	326	46	as	as	SCONJ
ejpam-48	326	47	you	you	PRON
ejpam-48	326	48	’d	’d	NOUN
ejpam-48	326	49	get	get	VERB
ejpam-48	326	50	is	be	AUX
ejpam-48	326	51	how	how	SCONJ
ejpam-48	326	52	many	many	ADJ
ejpam-48	326	53	that	that	SCONJ
ejpam-48	326	54	you	you	PRON
ejpam-48	326	55	’d	’d	NOUN
ejpam-48	326	56	have	have	VERB
ejpam-48	326	57	.	.	PUNCT
ejpam-48	327	1	i	i	PRON
ejpam-48	327	2	:	:	PUNCT
ejpam-48	327	3	what	what	PRON
ejpam-48	327	4	do	do	AUX
ejpam-48	327	5	you	you	PRON
ejpam-48	327	6	mean	mean	VERB
ejpam-48	327	7	you	you	PRON
ejpam-48	327	8	’d	’d	AUX
ejpam-48	327	9	never	never	ADV
ejpam-48	327	10	reach	reach	VERB
ejpam-48	327	11	12	12	NUM
ejpam-48	327	12	o'clock	o'clock	NOUN
ejpam-48	327	13	?	?	PUNCT
ejpam-48	328	1	audrey	audrey	PROPN
ejpam-48	328	2	:	:	PUNCT
ejpam-48	328	3	because	because	SCONJ
ejpam-48	328	4	you	you	PRON
ejpam-48	328	5	can	can	AUX
ejpam-48	328	6	infinitely	infinitely	ADV
ejpam-48	328	7	divide	divide	VERB
ejpam-48	328	8	this	this	PRON
ejpam-48	328	9	down	down	ADP
ejpam-48	328	10	.	.	PUNCT
ejpam-48	329	1	not	not	PART
ejpam-48	329	2	only	only	ADV
ejpam-48	329	3	do	do	AUX
ejpam-48	329	4	both	both	DET
ejpam-48	329	5	students	student	NOUN
ejpam-48	329	6	maintain	maintain	VERB
ejpam-48	329	7	this	this	DET
ejpam-48	329	8	view	view	NOUN
ejpam-48	329	9	throughout	throughout	ADP
ejpam-48	329	10	their	their	PRON
ejpam-48	329	11	interview	interview	NOUN
ejpam-48	329	12	,	,	PUNCT
ejpam-48	329	13	they	they	PRON
ejpam-48	329	14	generally	generally	ADV
ejpam-48	329	15	drop	drop	VERB
ejpam-48	329	16	the	the	DET
ejpam-48	329	17	connection	connection	NOUN
ejpam-48	329	18	to	to	ADP
ejpam-48	329	19	time	time	NOUN
ejpam-48	329	20	in	in	ADP
ejpam-48	329	21	their	their	PRON
ejpam-48	329	22	attempt	attempt	NOUN
ejpam-48	329	23	to	to	PART
ejpam-48	329	24	solve	solve	VERB
ejpam-48	329	25	the	the	DET
ejpam-48	329	26	problem	problem	NOUN
ejpam-48	329	27	.	.	PUNCT
ejpam-48	330	1	in	in	ADP
ejpam-48	330	2	fact	fact	NOUN
ejpam-48	330	3	,	,	PUNCT
ejpam-48	330	4	from	from	ADP
ejpam-48	330	5	audrey	audrey	PROPN
ejpam-48	330	6	’s	’s	PART
ejpam-48	330	7	point	point	NOUN
ejpam-48	330	8	of	of	ADP
ejpam-48	330	9	view	view	NOUN
ejpam-48	330	10	,	,	PUNCT
ejpam-48	330	11	12	12	NUM
ejpam-48	330	12	noon	noon	NOUN
ejpam-48	330	13	indicates	indicate	VERB
ejpam-48	330	14	that	that	SCONJ
ejpam-48	330	15	only	only	ADV
ejpam-48	330	16	a	a	DET
ejpam-48	330	17	finite	finite	ADJ
ejpam-48	330	18	number	number	NOUN
ejpam-48	330	19	of	of	ADP
ejpam-48	330	20	steps	step	NOUN
ejpam-48	330	21	have	have	AUX
ejpam-48	330	22	been	be	AUX
ejpam-48	330	23	completed	complete	VERB
ejpam-48	330	24	:	:	PUNCT
ejpam-48	330	25	sol	sol	NOUN
ejpam-48	330	26	:	:	PUNCT
ejpam-48	330	27	but	but	CCONJ
ejpam-48	330	28	if	if	SCONJ
ejpam-48	330	29	you	you	PRON
ejpam-48	330	30	(	(	PUNCT
ejpam-48	330	31	looks	look	VERB
ejpam-48	330	32	at	at	ADP
ejpam-48	330	33	i	i	PRON
ejpam-48	330	34	)	)	PUNCT
ejpam-48	330	35	say	say	VERB
ejpam-48	330	36	if	if	SCONJ
ejpam-48	330	37	you	you	PRON
ejpam-48	330	38	do	do	AUX
ejpam-48	330	39	make	make	VERB
ejpam-48	330	40	it	it	PRON
ejpam-48	330	41	to	to	ADP
ejpam-48	330	42	noon	noon	NOUN
ejpam-48	330	43	somehow	somehow	ADV
ejpam-48	330	44	then	then	ADV
ejpam-48	330	45	why	why	SCONJ
ejpam-48	330	46	would	would	AUX
ejpam-48	330	47	it	it	PRON
ejpam-48	330	48	be	be	AUX
ejpam-48	330	49	a	a	DET
ejpam-48	330	50	finite	finite	ADJ
ejpam-48	330	51	number	number	NOUN
ejpam-48	330	52	of	of	ADP
ejpam-48	330	53	balls	ball	NOUN
ejpam-48	330	54	.	.	PUNCT
ejpam-48	331	1	audrey	audrey	PROPN
ejpam-48	331	2	:	:	PUNCT
ejpam-48	331	3	because	because	SCONJ
ejpam-48	331	4	you	you	PRON
ejpam-48	331	5	made	make	VERB
ejpam-48	331	6	it	it	PRON
ejpam-48	331	7	and	and	CCONJ
ejpam-48	331	8	you	you	PRON
ejpam-48	331	9	’d	’d	NOUN
ejpam-48	331	10	have	have	VERB
ejpam-48	331	11	a	a	DET
ejpam-48	331	12	cut	cut	NOUN
ejpam-48	331	13	off	off	ADP
ejpam-48	331	14	point	point	NOUN
ejpam-48	331	15	.	.	PUNCT
ejpam-48	332	1	sol	sol	NOUN
ejpam-48	332	2	:	:	PUNCT
ejpam-48	333	1	well	well	INTJ
ejpam-48	333	2	…	…	PUNCT
ejpam-48	333	3	it	it	PRON
ejpam-48	333	4	’s	’	VERB
ejpam-48	333	5	just	just	ADV
ejpam-48	333	6	a	a	DET
ejpam-48	333	7	measure	measure	NOUN
ejpam-48	333	8	.	.	PUNCT
ejpam-48	334	1	i	i	PRON
ejpam-48	334	2	:	:	PUNCT
ejpam-48	334	3	how	how	SCONJ
ejpam-48	334	4	would	would	AUX
ejpam-48	334	5	you	you	PRON
ejpam-48	334	6	define	define	VERB
ejpam-48	334	7	the	the	DET
ejpam-48	334	8	cutoff	cutoff	NOUN
ejpam-48	334	9	point	point	NOUN
ejpam-48	334	10	?	?	PUNCT
ejpam-48	335	1	audrey	audrey	NOUN
ejpam-48	335	2	:	:	PUNCT
ejpam-48	335	3	however	however	ADV
ejpam-48	335	4	many	many	ADJ
ejpam-48	335	5	times	time	NOUN
ejpam-48	335	6	you	you	PRON
ejpam-48	335	7	pressed	press	VERB
ejpam-48	335	8	the	the	DET
ejpam-48	335	9	button	button	NOUN
ejpam-48	335	10	.	.	PUNCT
ejpam-48	336	1	i	i	PRON
ejpam-48	336	2	:	:	PUNCT
ejpam-48	336	3	so	so	ADV
ejpam-48	336	4	you	you	PRON
ejpam-48	336	5	’re	’re	AUX
ejpam-48	336	6	saying	say	VERB
ejpam-48	336	7	if	if	SCONJ
ejpam-48	336	8	you	you	PRON
ejpam-48	336	9	got	get	VERB
ejpam-48	336	10	to	to	ADP
ejpam-48	336	11	12	12	NUM
ejpam-48	336	12	noon	noon	NOUN
ejpam-48	336	13	?	?	PUNCT
ejpam-48	337	1	audrey	audrey	PROPN
ejpam-48	337	2	:	:	PUNCT
ejpam-48	337	3	then	then	ADV
ejpam-48	337	4	you	you	PRON
ejpam-48	337	5	’d	’d	ADV
ejpam-48	337	6	stop	stop	VERB
ejpam-48	337	7	pressing	press	VERB
ejpam-48	337	8	the	the	DET
ejpam-48	337	9	button	button	NOUN
ejpam-48	337	10	.	.	PUNCT
ejpam-48	338	1	you	you	PRON
ejpam-48	338	2	could	could	AUX
ejpam-48	338	3	count	count	VERB
ejpam-48	338	4	the	the	DET
ejpam-48	338	5	number	number	NOUN
ejpam-48	338	6	of	of	ADP
ejpam-48	338	7	times	time	NOUN
ejpam-48	338	8	that	that	PRON
ejpam-48	338	9	you	you	PRON
ejpam-48	338	10	pressed	press	VERB
ejpam-48	338	11	the	the	DET
ejpam-48	338	12	button	button	NOUN
ejpam-48	338	13	and	and	CCONJ
ejpam-48	338	14	that	that	PRON
ejpam-48	338	15	would	would	AUX
ejpam-48	338	16	n’t	not	PART
ejpam-48	338	17	be	be	AUX
ejpam-48	338	18	infinite	infinite	ADJ
ejpam-48	338	19	,	,	PUNCT
ejpam-48	338	20	it	it	PRON
ejpam-48	338	21	would	would	AUX
ejpam-48	338	22	be	be	AUX
ejpam-48	338	23	finite	finite	ADJ
ejpam-48	338	24	.	.	PUNCT
ejpam-48	339	1	i	i	PRON
ejpam-48	339	2	:	:	PUNCT
ejpam-48	339	3	and	and	CCONJ
ejpam-48	339	4	why	why	SCONJ
ejpam-48	339	5	would	would	AUX
ejpam-48	339	6	n’t	n’t	VERB
ejpam-48	339	7	it	it	PRON
ejpam-48	339	8	be	be	AUX
ejpam-48	339	9	infinite	infinite	ADJ
ejpam-48	339	10	,	,	PUNCT
ejpam-48	339	11	if	if	SCONJ
ejpam-48	339	12	you	you	PRON
ejpam-48	339	13	got	get	VERB
ejpam-48	339	14	to	to	ADP
ejpam-48	339	15	12	12	NUM
ejpam-48	339	16	noon	noon	NOUN
ejpam-48	339	17	?	?	PUNCT
ejpam-48	340	1	audrey	audrey	PROPN
ejpam-48	340	2	:	:	PUNCT
ejpam-48	340	3	because	because	SCONJ
ejpam-48	340	4	you	you	PRON
ejpam-48	340	5	stopped	stop	VERB
ejpam-48	340	6	.	.	PUNCT
ejpam-48	341	1	unlike	unlike	ADP
ejpam-48	341	2	sam	sam	PROPN
ejpam-48	341	3	,	,	PUNCT
ejpam-48	341	4	whose	whose	DET
ejpam-48	341	5	view	view	NOUN
ejpam-48	341	6	of	of	ADP
ejpam-48	341	7	the	the	DET
ejpam-48	341	8	time	time	NOUN
ejpam-48	341	9	process	process	NOUN
ejpam-48	341	10	enabled	enable	VERB
ejpam-48	341	11	him	he	PRON
ejpam-48	341	12	to	to	PART
ejpam-48	341	13	solve	solve	VERB
ejpam-48	341	14	the	the	DET
ejpam-48	341	15	problem	problem	NOUN
ejpam-48	341	16	,	,	PUNCT
ejpam-48	341	17	audrey	audrey	PROPN
ejpam-48	341	18	and	and	CCONJ
ejpam-48	341	19	sol	sol	NOUN
ejpam-48	341	20	see	see	VERB
ejpam-48	341	21	12	12	NUM
ejpam-48	341	22	noon	noon	NOUN
ejpam-48	341	23	as	as	ADP
ejpam-48	341	24	unattainable	unattainable	ADJ
ejpam-48	341	25	.	.	PUNCT
ejpam-48	342	1	to	to	ADP
ejpam-48	342	2	the	the	DET
ejpam-48	342	3	degree	degree	NOUN
ejpam-48	342	4	that	that	SCONJ
ejpam-48	342	5	the	the	DET
ejpam-48	342	6	passage	passage	NOUN
ejpam-48	342	7	of	of	ADP
ejpam-48	342	8	time	time	NOUN
ejpam-48	342	9	figures	figure	NOUN
ejpam-48	342	10	into	into	ADP
ejpam-48	342	11	their	their	PRON
ejpam-48	342	12	thinking	thinking	NOUN
ejpam-48	342	13	,	,	PUNCT
ejpam-48	342	14	it	it	PRON
ejpam-48	342	15	suggests	suggest	VERB
ejpam-48	342	16	that	that	SCONJ
ejpam-48	342	17	the	the	DET
ejpam-48	342	18	iterative	iterative	NOUN
ejpam-48	342	19	process	process	NOUN
ejpam-48	342	20	of	of	ADP
ejpam-48	342	21	moving	move	VERB
ejpam-48	342	22	the	the	DET
ejpam-48	342	23	balls	ball	NOUN
ejpam-48	342	24	can	can	AUX
ejpam-48	342	25	not	not	PART
ejpam-48	342	26	be	be	AUX
ejpam-48	342	27	completed	complete	VERB
ejpam-48	342	28	.	.	PUNCT
ejpam-48	343	1	their	their	PRON
ejpam-48	343	2	views	view	NOUN
ejpam-48	343	3	align	align	VERB
ejpam-48	343	4	with	with	ADP
ejpam-48	343	5	what	what	PRON
ejpam-48	343	6	fischbein	fischbein	NOUN
ejpam-48	344	1	[	[	X
ejpam-48	344	2	7	7	NUM
ejpam-48	344	3	]	]	PUNCT
ejpam-48	344	4	theorized	theorize	VERB
ejpam-48	344	5	and	and	CCONJ
ejpam-48	344	6	tirosh	tirosh	NOUN
ejpam-48	344	7	and	and	CCONJ
ejpam-48	344	8	stavy	stavy	VERB
ejpam-48	345	1	[	[	X
ejpam-48	345	2	12	12	NUM
ejpam-48	345	3	]	]	PUNCT
ejpam-48	345	4	observed	observe	VERB
ejpam-48	345	5	:	:	PUNCT
ejpam-48	345	6	infinite	infinite	ADJ
ejpam-48	345	7	subdivision	subdivision	NOUN
ejpam-48	345	8	processes	process	NOUN
ejpam-48	345	9	are	be	AUX
ejpam-48	345	10	conceived	conceive	VERB
ejpam-48	345	11	as	as	ADP
ejpam-48	345	12	uncompletable	uncompletable	ADJ
ejpam-48	345	13	.	.	PUNCT
ejpam-48	346	1	in	in	ADP
ejpam-48	346	2	her	her	PRON
ejpam-48	346	3	initial	initial	ADJ
ejpam-48	346	4	thinking	thinking	NOUN
ejpam-48	346	5	about	about	ADP
ejpam-48	346	6	the	the	DET
ejpam-48	346	7	movement	movement	NOUN
ejpam-48	346	8	of	of	ADP
ejpam-48	346	9	the	the	DET
ejpam-48	346	10	balls	ball	NOUN
ejpam-48	346	11	,	,	PUNCT
ejpam-48	346	12	absent	absent	ADJ
ejpam-48	346	13	the	the	DET
ejpam-48	346	14	connection	connection	NOUN
ejpam-48	346	15	to	to	ADP
ejpam-48	346	16	time	time	NOUN
ejpam-48	346	17	,	,	PUNCT
ejpam-48	346	18	audrey	audrey	PROPN
ejpam-48	346	19	says	say	VERB
ejpam-48	346	20	that	that	SCONJ
ejpam-48	346	21	t	t	PROPN
ejpam-48	346	22	is	be	AUX
ejpam-48	346	23	“	"	PUNCT
ejpam-48	346	24	gon	go	VERB
ejpam-48	346	25	na	to	PART
ejpam-48	346	26	go	go	VERB
ejpam-48	346	27	1	1	NUM
ejpam-48	346	28	through	through	ADP
ejpam-48	346	29	whatever	whatever	PRON
ejpam-48	346	30	.	.	PUNCT
ejpam-48	346	31	”	"	PUNCT
ejpam-48	347	1	sol	sol	PROPN
ejpam-48	347	2	concurs	concur	VERB
ejpam-48	347	3	:	:	PUNCT
ejpam-48	347	4	“	"	PUNCT
ejpam-48	347	5	you	you	PRON
ejpam-48	347	6	'd	would	AUX
ejpam-48	347	7	get	get	VERB
ejpam-48	347	8	balls	ball	NOUN
ejpam-48	347	9	1	1	NUM
ejpam-48	347	10	through	through	ADP
ejpam-48	347	11	infinity	infinity	NOUN
ejpam-48	347	12	over	over	ADP
ejpam-48	347	13	there	there	ADV
ejpam-48	347	14	[	[	X
ejpam-48	347	15	in	in	ADP
ejpam-48	347	16	t	t	PROPN
ejpam-48	347	17	]	]	PUNCT
ejpam-48	347	18	.	.	PUNCT
ejpam-48	347	19	”	"	PUNCT
ejpam-48	348	1	sol	sol	NOUN
ejpam-48	348	2	explains	explain	VERB
ejpam-48	348	3	that	that	SCONJ
ejpam-48	348	4	“	"	PUNCT
ejpam-48	348	5	it	it	PRON
ejpam-48	348	6	’s	’s	AUX
ejpam-48	348	7	always	always	ADV
ejpam-48	348	8	going	go	VERB
ejpam-48	348	9	to	to	PART
ejpam-48	348	10	pick	pick	VERB
ejpam-48	348	11	the	the	DET
ejpam-48	348	12	smallest	small	ADJ
ejpam-48	348	13	number	number	NOUN
ejpam-48	348	14	,	,	PUNCT
ejpam-48	348	15	so	so	SCONJ
ejpam-48	348	16	the	the	DET
ejpam-48	348	17	first	first	ADJ
ejpam-48	348	18	time	time	NOUN
ejpam-48	348	19	it	it	PRON
ejpam-48	348	20	’s	’s	AUX
ejpam-48	348	21	gon	go	VERB
ejpam-48	348	22	na	to	PART
ejpam-48	348	23	pick	pick	VERB
ejpam-48	348	24	one	one	NUM
ejpam-48	348	25	,	,	PUNCT
ejpam-48	348	26	the	the	DET
ejpam-48	348	27	second	second	ADJ
ejpam-48	348	28	time	time	NOUN
ejpam-48	348	29	it	it	PRON
ejpam-48	348	30	’s	’s	AUX
ejpam-48	348	31	gon	go	VERB
ejpam-48	348	32	na	to	PART
ejpam-48	348	33	pick	pick	VERB
ejpam-48	348	34	2	2	NUM
ejpam-48	348	35	,	,	PUNCT
ejpam-48	348	36	then	then	ADV
ejpam-48	348	37	3	3	NUM
ejpam-48	348	38	,	,	PUNCT
ejpam-48	348	39	then	then	ADV
ejpam-48	348	40	4	4	X
ejpam-48	348	41	.	.	PUNCT
ejpam-48	349	1	it	it	PRON
ejpam-48	349	2	’s	’s	AUX
ejpam-48	349	3	just	just	ADV
ejpam-48	349	4	gon	go	VERB
ejpam-48	349	5	na	to	PART
ejpam-48	349	6	keep	keep	VERB
ejpam-48	349	7	sending	send	VERB
ejpam-48	349	8	the	the	DET
ejpam-48	349	9	balls	ball	NOUN
ejpam-48	349	10	over	over	ADP
ejpam-48	349	11	.	.	PUNCT
ejpam-48	350	1	audrey	audrey	PROPN
ejpam-48	350	2	adds	add	VERB
ejpam-48	350	3	,	,	PUNCT
ejpam-48	350	4	“	"	PUNCT
ejpam-48	350	5	you	you	PRON
ejpam-48	350	6	can	can	AUX
ejpam-48	350	7	express	express	VERB
ejpam-48	350	8	it	it	PRON
ejpam-48	350	9	as	as	ADP
ejpam-48	350	10	a	a	DET
ejpam-48	350	11	set	set	NOUN
ejpam-48	350	12	1	1	NUM
ejpam-48	350	13	,	,	PUNCT
ejpam-48	350	14	2	2	NUM
ejpam-48	350	15	,	,	PUNCT
ejpam-48	350	16	3	3	NUM
ejpam-48	350	17	,	,	PUNCT
ejpam-48	350	18	dot	dot	NOUN
ejpam-48	350	19	,	,	PUNCT
ejpam-48	350	20	dot	dot	NOUN
ejpam-48	350	21	,	,	PUNCT
ejpam-48	350	22	dot	dot	NOUN
ejpam-48	350	23	,	,	PUNCT
ejpam-48	350	24	and	and	CCONJ
ejpam-48	350	25	then	then	ADV
ejpam-48	350	26	let	let	VERB
ejpam-48	350	27	it	it	PRON
ejpam-48	350	28	go	go	VERB
ejpam-48	350	29	.	.	PUNCT
ejpam-48	350	30	”	"	PUNCT
ejpam-48	351	1	following	follow	VERB
ejpam-48	351	2	this	this	DET
ejpam-48	351	3	exchange	exchange	NOUN
ejpam-48	351	4	,	,	PUNCT
ejpam-48	351	5	the	the	DET
ejpam-48	351	6	interviewer	interviewer	NOUN
ejpam-48	351	7	asks	ask	VERB
ejpam-48	351	8	about	about	ADP
ejpam-48	351	9	bin	bin	NOUN
ejpam-48	351	10	a.	a.	NOUN
ejpam-48	351	11	in	in	ADP
ejpam-48	351	12	her	her	PRON
ejpam-48	351	13	written	write	VERB
ejpam-48	351	14	work	work	NOUN
ejpam-48	351	15	,	,	PUNCT
ejpam-48	351	16	audrey	audrey	PROPN
ejpam-48	351	17	draws	draw	VERB
ejpam-48	351	18	two	two	NUM
ejpam-48	351	19	concentric	concentric	ADJ
ejpam-48	351	20	boxes	box	NOUN
ejpam-48	351	21	,	,	PUNCT
ejpam-48	351	22	with	with	ADP
ejpam-48	351	23	the	the	DET
ejpam-48	351	24	outer	outer	ADJ
ejpam-48	351	25	box	box	NOUN
ejpam-48	351	26	representing	represent	VERB
ejpam-48	351	27	bin	bin	PROPN
ejpam-48	351	28	a	a	PROPN
ejpam-48	351	29	and	and	CCONJ
ejpam-48	351	30	the	the	DET
ejpam-48	351	31	inner	inner	ADJ
ejpam-48	351	32	box	box	NOUN
ejpam-48	351	33	denoting	denote	VERB
ejpam-48	351	34	bin	bin	PROPN
ejpam-48	351	35	t.	t.	PROPN
ejpam-48	352	1	she	she	PRON
ejpam-48	352	2	then	then	ADV
ejpam-48	352	3	offers	offer	VERB
ejpam-48	352	4	the	the	DET
ejpam-48	352	5	following	following	ADJ
ejpam-48	352	6	explanation2	explanation2	PROPN
ejpam-48	352	7	:	:	PUNCT
ejpam-48	352	8	e.	e.	PROPN
ejpam-48	352	9	dubinsky	dubinsky	PROPN
ejpam-48	352	10	et	et	PROPN
ejpam-48	352	11	al	al	PROPN
ejpam-48	352	12	.	.	PUNCT
ejpam-48	352	13	/	/	SYM
ejpam-48	352	14	eur	eur	PROPN
ejpam-48	352	15	.	.	PUNCT
ejpam-48	353	1	j.	j.	PROPN
ejpam-48	353	2	pure	pure	PROPN
ejpam-48	353	3	.	.	PUNCT
ejpam-48	354	1	appl	appl	PROPN
ejpam-48	354	2	.	.	PUNCT
ejpam-48	354	3	math	math	NOUN
ejpam-48	354	4	.	.	PUNCT
ejpam-48	355	1	1	1	NUM
ejpam-48	355	2	,	,	PUNCT
ejpam-48	355	3	(	(	PUNCT
ejpam-48	355	4	2008	2008	NUM
ejpam-48	355	5	)	)	PUNCT
ejpam-48	355	6	,	,	PUNCT
ejpam-48	355	7	(	(	PUNCT
ejpam-48	355	8	99	99	NUM
ejpam-48	355	9	-	-	SYM
ejpam-48	355	10	121	121	NUM
ejpam-48	355	11	)	)	PUNCT
ejpam-48	355	12	111	111	NUM
ejpam-48	355	13	figure	figure	NOUN
ejpam-48	355	14	2	2	NUM
ejpam-48	355	15	:	:	PUNCT
ejpam-48	355	16	audrey	audrey	PROPN
ejpam-48	355	17	’s	’s	PART
ejpam-48	355	18	written	write	VERB
ejpam-48	355	19	work	work	NOUN
ejpam-48	355	20	:	:	PUNCT
ejpam-48	355	21	relationship	relationship	NOUN
ejpam-48	355	22	between	between	ADP
ejpam-48	355	23	bin	bin	PROPN
ejpam-48	355	24	a	a	PROPN
ejpam-48	355	25	and	and	CCONJ
ejpam-48	355	26	bin	bin	PROPN
ejpam-48	355	27	t	t	PROPN
ejpam-48	355	28	audrey	audrey	PROPN
ejpam-48	355	29	:	:	PUNCT
ejpam-48	355	30	well	well	INTJ
ejpam-48	355	31	,	,	PUNCT
ejpam-48	355	32	yeah	yeah	INTJ
ejpam-48	355	33	,	,	PUNCT
ejpam-48	355	34	that	that	PRON
ejpam-48	355	35	’s	’	VERB
ejpam-48	355	36	the	the	DET
ejpam-48	355	37	problem	problem	NOUN
ejpam-48	355	38	of	of	ADP
ejpam-48	355	39	…	…	PUNCT
ejpam-48	355	40	like	like	ADJ
ejpam-48	355	41	…	…	NOUN
ejpam-48	355	42	infinity	infinity	NOUN
ejpam-48	355	43	.	.	PUNCT
ejpam-48	356	1	you	you	PRON
ejpam-48	356	2	have	have	VERB
ejpam-48	356	3	to	to	PART
ejpam-48	356	4	think	think	VERB
ejpam-48	356	5	of	of	ADP
ejpam-48	356	6	it	it	PRON
ejpam-48	356	7	as	as	ADP
ejpam-48	356	8	…	…	PUNCT
ejpam-48	356	9	there	there	PRON
ejpam-48	356	10	’s	’	VERB
ejpam-48	356	11	one	one	NUM
ejpam-48	356	12	type	type	NOUN
ejpam-48	356	13	of	of	ADP
ejpam-48	356	14	infinity	infinity	NOUN
ejpam-48	356	15	in	in	ADP
ejpam-48	356	16	this	this	DET
ejpam-48	356	17	box	box	NOUN
ejpam-48	357	1	[	[	X
ejpam-48	357	2	t	t	X
ejpam-48	357	3	]	]	X
ejpam-48	357	4	…	…	PUNCT
ejpam-48	357	5	i	i	PRON
ejpam-48	357	6	:	:	PUNCT
ejpam-48	357	7	and	and	CCONJ
ejpam-48	357	8	what	what	DET
ejpam-48	357	9	type	type	NOUN
ejpam-48	357	10	of	of	ADP
ejpam-48	357	11	infinity	infinity	NOUN
ejpam-48	357	12	is	be	AUX
ejpam-48	357	13	that	that	SCONJ
ejpam-48	357	14	?	?	PUNCT
ejpam-48	358	1	audrey	audrey	NOUN
ejpam-48	358	2	:	:	PUNCT
ejpam-48	358	3	well	well	INTJ
ejpam-48	358	4	,	,	PUNCT
ejpam-48	358	5	it	it	PRON
ejpam-48	358	6	’s	’	VERB
ejpam-48	358	7	just	just	ADV
ejpam-48	358	8	1	1	NUM
ejpam-48	358	9	through	through	ADP
ejpam-48	358	10	infinity	infinity	NOUN
ejpam-48	358	11	,	,	PUNCT
ejpam-48	358	12	right	right	ADJ
ejpam-48	358	13	?	?	PUNCT
ejpam-48	359	1	audrey	audrey	PROPN
ejpam-48	359	2	:	:	PUNCT
ejpam-48	359	3	so	so	ADV
ejpam-48	359	4	,	,	PUNCT
ejpam-48	359	5	then	then	ADV
ejpam-48	359	6	there	there	PRON
ejpam-48	359	7	’s	’	VERB
ejpam-48	359	8	another	another	DET
ejpam-48	359	9	type	type	NOUN
ejpam-48	359	10	here	here	ADV
ejpam-48	359	11	[	[	PUNCT
ejpam-48	359	12	in	in	ADP
ejpam-48	359	13	a	a	DET
ejpam-48	359	14	]	]	X
ejpam-48	359	15	.	.	PUNCT
ejpam-48	360	1	i	i	PRON
ejpam-48	360	2	mean	mean	VERB
ejpam-48	360	3	,	,	PUNCT
ejpam-48	360	4	it	it	PRON
ejpam-48	360	5	’s	’s	AUX
ejpam-48	360	6	got	get	VERB
ejpam-48	360	7	the	the	DET
ejpam-48	360	8	same	same	ADJ
ejpam-48	360	9	amount	amount	NOUN
ejpam-48	360	10	,	,	PUNCT
ejpam-48	360	11	but	but	CCONJ
ejpam-48	360	12	it	it	PRON
ejpam-48	360	13	’s	’	VERB
ejpam-48	360	14	infinity	infinity	NOUN
ejpam-48	360	15	on	on	ADP
ejpam-48	360	16	to	to	PART
ejpam-48	360	17	infinity	infinity	NOUN
ejpam-48	360	18	again	again	ADV
ejpam-48	360	19	.	.	PUNCT
ejpam-48	361	1	at	at	ADP
ejpam-48	361	2	this	this	DET
ejpam-48	361	3	point	point	NOUN
ejpam-48	361	4	,	,	PUNCT
ejpam-48	361	5	audrey	audrey	PROPN
ejpam-48	361	6	appears	appear	VERB
ejpam-48	361	7	to	to	PART
ejpam-48	361	8	see	see	VERB
ejpam-48	361	9	the	the	DET
ejpam-48	361	10	state	state	NOUN
ejpam-48	361	11	at	at	ADP
ejpam-48	361	12	infinity	infinity	NOUN
ejpam-48	361	13	as	as	ADP
ejpam-48	361	14	arising	arise	VERB
ejpam-48	361	15	from	from	ADP
ejpam-48	361	16	the	the	DET
ejpam-48	361	17	process	process	NOUN
ejpam-48	361	18	;	;	PUNCT
ejpam-48	361	19	in	in	ADP
ejpam-48	361	20	particular	particular	ADJ
ejpam-48	361	21	,	,	PUNCT
ejpam-48	361	22	the	the	DET
ejpam-48	361	23	resultant	resultant	NOUN
ejpam-48	361	24	state	state	NOUN
ejpam-48	361	25	of	of	ADP
ejpam-48	361	26	each	each	DET
ejpam-48	361	27	bin	bin	NOUN
ejpam-48	361	28	behaves	behave	VERB
ejpam-48	361	29	like	like	ADP
ejpam-48	361	30	each	each	PRON
ejpam-48	361	31	of	of	ADP
ejpam-48	361	32	the	the	DET
ejpam-48	361	33	intermediate	intermediate	ADJ
ejpam-48	361	34	states	state	NOUN
ejpam-48	361	35	:	:	PUNCT
ejpam-48	361	36	bins	bin	VERB
ejpam-48	361	37	a	a	PRON
ejpam-48	361	38	and	and	CCONJ
ejpam-48	361	39	t	t	PROPN
ejpam-48	361	40	each	each	PRON
ejpam-48	361	41	contain	contain	VERB
ejpam-48	361	42	half	half	NOUN
ejpam-48	361	43	of	of	ADP
ejpam-48	361	44	the	the	DET
ejpam-48	361	45	balls	ball	NOUN
ejpam-48	361	46	.	.	PUNCT
ejpam-48	362	1	because	because	SCONJ
ejpam-48	362	2	she	she	PRON
ejpam-48	362	3	fails	fail	VERB
ejpam-48	362	4	to	to	PART
ejpam-48	362	5	specify	specify	VERB
ejpam-48	362	6	the	the	DET
ejpam-48	362	7	exact	exact	ADJ
ejpam-48	362	8	contents	content	NOUN
ejpam-48	362	9	of	of	ADP
ejpam-48	362	10	a	a	PRON
ejpam-48	362	11	,	,	PUNCT
ejpam-48	362	12	the	the	DET
ejpam-48	362	13	interviewer	interviewer	NOUN
ejpam-48	362	14	again	again	ADV
ejpam-48	362	15	asks	ask	VERB
ejpam-48	362	16	which	which	PRON
ejpam-48	362	17	natural	natural	ADJ
ejpam-48	362	18	numbers	number	NOUN
ejpam-48	362	19	would	would	AUX
ejpam-48	362	20	reside	reside	VERB
ejpam-48	362	21	there	there	ADV
ejpam-48	362	22	.	.	PUNCT
ejpam-48	363	1	audrey	audrey	PROPN
ejpam-48	363	2	focuses	focus	VERB
ejpam-48	363	3	on	on	ADP
ejpam-48	363	4	bin	bin	PROPN
ejpam-48	363	5	t	t	PROPN
ejpam-48	363	6	and	and	CCONJ
ejpam-48	363	7	reiterates	reiterate	VERB
ejpam-48	363	8	that	that	SCONJ
ejpam-48	363	9	it	it	PRON
ejpam-48	363	10	consists	consist	VERB
ejpam-48	363	11	of	of	ADP
ejpam-48	363	12	“	"	PUNCT
ejpam-48	363	13	1	1	NUM
ejpam-48	363	14	up	up	ADP
ejpam-48	363	15	to	to	ADP
ejpam-48	363	16	infinity	infinity	NOUN
ejpam-48	363	17	.	.	PUNCT
ejpam-48	363	18	”	"	PUNCT
ejpam-48	364	1	in	in	ADP
ejpam-48	364	2	her	her	PRON
ejpam-48	364	3	written	write	VERB
ejpam-48	364	4	work	work	NOUN
ejpam-48	364	5	,	,	PUNCT
ejpam-48	364	6	though	though	ADV
ejpam-48	364	7	,	,	PUNCT
ejpam-48	364	8	she	she	PRON
ejpam-48	364	9	writes	write	VERB
ejpam-48	364	10	}	}	PUNCT
ejpam-48	364	11	,	,	PUNCT
ejpam-48	364	12	3,2,1	3,2,1	NUM
ejpam-48	364	13	{	{	PUNCT
ejpam-48	364	14			NOUN
ejpam-48	364	15	.	.	PUNCT
ejpam-48	365	1	the	the	DET
ejpam-48	365	2	interviewer	interviewer	NOUN
ejpam-48	365	3	points	point	VERB
ejpam-48	365	4	out	out	ADP
ejpam-48	365	5	the	the	DET
ejpam-48	365	6	difference	difference	NOUN
ejpam-48	365	7	,	,	PUNCT
ejpam-48	365	8	so	so	ADV
ejpam-48	365	9	audrey	audrey	PROPN
ejpam-48	365	10	adds	add	VERB
ejpam-48	365	11	∞	∞	PROPN
ejpam-48	365	12	to	to	ADP
ejpam-48	365	13	her	her	PRON
ejpam-48	365	14	written	write	VERB
ejpam-48	365	15	work	work	NOUN
ejpam-48	365	16	to	to	PART
ejpam-48	365	17	obtain	obtain	VERB
ejpam-48	365	18	}	}	PUNCT
ejpam-48	365	19	,	,	PUNCT
ejpam-48	365	20	3,2,1	3,2,1	NUM
ejpam-48	365	21	{	{	SYM
ejpam-48	365	22	∞	∞	NOUN
ejpam-48	365	23	.	.	PUNCT
ejpam-48	366	1	however	however	ADV
ejpam-48	366	2	,	,	PUNCT
ejpam-48	366	3	she	she	PRON
ejpam-48	366	4	notes	note	VERB
ejpam-48	366	5	that	that	SCONJ
ejpam-48	366	6	“	"	PUNCT
ejpam-48	366	7	it	it	PRON
ejpam-48	366	8	seems	seem	VERB
ejpam-48	366	9	really	really	ADV
ejpam-48	366	10	wrong	wrong	ADJ
ejpam-48	366	11	,	,	PUNCT
ejpam-48	366	12	”	"	PUNCT
ejpam-48	366	13	because	because	SCONJ
ejpam-48	366	14	“	"	PUNCT
ejpam-48	366	15	it	it	PRON
ejpam-48	366	16	’s	’	VERB
ejpam-48	366	17	not	not	PART
ejpam-48	366	18	really	really	ADV
ejpam-48	366	19	an	an	DET
ejpam-48	366	20	element	element	NOUN
ejpam-48	366	21	.	.	PUNCT
ejpam-48	366	22	”	"	PUNCT
ejpam-48	367	1	sol	sol	NOUN
ejpam-48	367	2	suggests	suggest	VERB
ejpam-48	367	3	“	"	PUNCT
ejpam-48	367	4	just	just	ADV
ejpam-48	367	5	leav[ing	leav[ing	NOUN
ejpam-48	367	6	]	]	PUNCT
ejpam-48	367	7	the	the	DET
ejpam-48	367	8	dots	dot	NOUN
ejpam-48	367	9	,	,	PUNCT
ejpam-48	367	10	”	"	PUNCT
ejpam-48	367	11	because	because	SCONJ
ejpam-48	367	12	“	"	PUNCT
ejpam-48	367	13	i	i	PRON
ejpam-48	367	14	think	think	VERB
ejpam-48	367	15	with	with	ADP
ejpam-48	367	16	the	the	DET
ejpam-48	367	17	dots	dot	NOUN
ejpam-48	367	18	you	you	PRON
ejpam-48	367	19	know	know	VERB
ejpam-48	367	20	that	that	SCONJ
ejpam-48	367	21	it	it	PRON
ejpam-48	367	22	’s	’	VERB
ejpam-48	367	23	a	a	DET
ejpam-48	367	24	sequence	sequence	NOUN
ejpam-48	367	25	and	and	CCONJ
ejpam-48	367	26	it	it	PRON
ejpam-48	367	27	’s	’s	AUX
ejpam-48	367	28	going	go	VERB
ejpam-48	367	29	to	to	PART
ejpam-48	367	30	infinity	infinity	NOUN
ejpam-48	367	31	,	,	PUNCT
ejpam-48	367	32	but	but	CCONJ
ejpam-48	367	33	infinity	infinity	NOUN
ejpam-48	367	34	is	be	AUX
ejpam-48	367	35	n’t	not	PART
ejpam-48	367	36	an	an	DET
ejpam-48	367	37	element	element	NOUN
ejpam-48	367	38	of	of	ADP
ejpam-48	367	39	the	the	DET
ejpam-48	367	40	set	set	NOUN
ejpam-48	367	41	.	.	PUNCT
ejpam-48	367	42	”	"	PUNCT
ejpam-48	368	1	audrey	audrey	PROPN
ejpam-48	368	2	agrees	agree	VERB
ejpam-48	368	3	,	,	PUNCT
ejpam-48	368	4	and	and	CCONJ
ejpam-48	368	5	later	later	ADV
ejpam-48	368	6	explains	explain	VERB
ejpam-48	368	7	that	that	SCONJ
ejpam-48	368	8	∞	∞	PROPN
ejpam-48	368	9	can	can	AUX
ejpam-48	368	10	not	not	PART
ejpam-48	368	11	be	be	AUX
ejpam-48	368	12	an	an	DET
ejpam-48	368	13	element	element	NOUN
ejpam-48	368	14	of	of	ADP
ejpam-48	368	15	the	the	DET
ejpam-48	368	16	set	set	NOUN
ejpam-48	368	17	,	,	PUNCT
ejpam-48	368	18	because	because	SCONJ
ejpam-48	368	19	∞	∞	PROPN
ejpam-48	368	20	indicates	indicate	VERB
ejpam-48	368	21	the	the	DET
ejpam-48	368	22	full	full	ADJ
ejpam-48	368	23	measure	measure	NOUN
ejpam-48	368	24	of	of	ADP
ejpam-48	368	25	“	"	PUNCT
ejpam-48	368	26	going	go	VERB
ejpam-48	368	27	on	on	ADP
ejpam-48	368	28	.	.	PUNCT
ejpam-48	368	29	”	"	PUNCT
ejpam-48	369	1	this	this	PRON
ejpam-48	369	2	prompts	prompt	VERB
ejpam-48	369	3	further	further	ADJ
ejpam-48	369	4	discussion	discussion	NOUN
ejpam-48	369	5	about	about	ADP
ejpam-48	369	6	the	the	DET
ejpam-48	369	7	meaning	meaning	NOUN
ejpam-48	369	8	of	of	ADP
ejpam-48	369	9	∞	∞	NUM
ejpam-48	369	10	as	as	ADP
ejpam-48	369	11	a	a	DET
ejpam-48	369	12	terminus	terminus	NOUN
ejpam-48	369	13	.	.	PUNCT
ejpam-48	370	1	the	the	DET
ejpam-48	370	2	interviewer	interviewer	NOUN
ejpam-48	370	3	asks	ask	VERB
ejpam-48	370	4	whether	whether	SCONJ
ejpam-48	370	5	1,000,000	1,000,000	NUM
ejpam-48	370	6	is	be	AUX
ejpam-48	370	7	closer	close	ADJ
ejpam-48	370	8	to	to	ADP
ejpam-48	370	9	∞	∞	NUM
ejpam-48	370	10	than	than	ADP
ejpam-48	370	11	100	100	NUM
ejpam-48	370	12	.	.	PUNCT
ejpam-48	371	1	audrey	audrey	PROPN
ejpam-48	371	2	believes	believe	VERB
ejpam-48	371	3	neither	neither	PRON
ejpam-48	371	4	is	be	AUX
ejpam-48	371	5	closer	close	ADJ
ejpam-48	371	6	,	,	PUNCT
ejpam-48	371	7	noting	note	VERB
ejpam-48	371	8	that	that	SCONJ
ejpam-48	371	9	“	"	PUNCT
ejpam-48	371	10	both	both	PRON
ejpam-48	371	11	are	be	AUX
ejpam-48	371	12	infinitely	infinitely	ADV
ejpam-48	371	13	far	far	ADV
ejpam-48	371	14	away	away	ADV
ejpam-48	371	15	.	.	PUNCT
ejpam-48	371	16	”	"	PUNCT
ejpam-48	372	1	to	to	PART
ejpam-48	372	2	illustrate	illustrate	VERB
ejpam-48	372	3	,	,	PUNCT
ejpam-48	372	4	she	she	PRON
ejpam-48	372	5	draws	draw	VERB
ejpam-48	372	6	a	a	DET
ejpam-48	372	7	number	number	NOUN
ejpam-48	372	8	line	line	NOUN
ejpam-48	372	9	,	,	PUNCT
ejpam-48	372	10	with	with	ADP
ejpam-48	372	11	∞	∞	PROPN
ejpam-48	372	12	as	as	ADP
ejpam-48	372	13	the	the	DET
ejpam-48	372	14	right	right	ADJ
ejpam-48	372	15	hand	hand	NOUN
ejpam-48	372	16	endpoint	endpoint	NOUN
ejpam-48	372	17	.	.	PUNCT
ejpam-48	373	1	she	she	PRON
ejpam-48	373	2	compares	compare	VERB
ejpam-48	373	3	the	the	DET
ejpam-48	373	4	interval	interval	NOUN
ejpam-48	373	5	from	from	ADP
ejpam-48	373	6	100	100	NUM
ejpam-48	373	7	to	to	ADP
ejpam-48	373	8	∞	∞	NUM
ejpam-48	373	9	with	with	ADP
ejpam-48	373	10	the	the	DET
ejpam-48	373	11	interval	interval	NOUN
ejpam-48	373	12	from	from	ADP
ejpam-48	373	13	1,000,000	1,000,000	NUM
ejpam-48	373	14	to	to	ADP
ejpam-48	373	15	infinity	infinity	NOUN
ejpam-48	373	16	,	,	PUNCT
ejpam-48	373	17	and	and	CCONJ
ejpam-48	373	18	remarks	remark	VERB
ejpam-48	373	19	:	:	PUNCT
ejpam-48	373	20	e.	e.	PROPN
ejpam-48	373	21	dubinsky	dubinsky	PROPN
ejpam-48	373	22	et	et	PROPN
ejpam-48	373	23	al	al	PROPN
ejpam-48	373	24	.	.	PUNCT
ejpam-48	373	25	/	/	SYM
ejpam-48	373	26	eur	eur	PROPN
ejpam-48	373	27	.	.	PUNCT
ejpam-48	374	1	j.	j.	PROPN
ejpam-48	374	2	pure	pure	PROPN
ejpam-48	374	3	.	.	PUNCT
ejpam-48	375	1	appl	appl	PROPN
ejpam-48	375	2	.	.	PUNCT
ejpam-48	375	3	math	math	NOUN
ejpam-48	375	4	.	.	PUNCT
ejpam-48	376	1	1	1	NUM
ejpam-48	376	2	,	,	PUNCT
ejpam-48	376	3	(	(	PUNCT
ejpam-48	376	4	2008	2008	NUM
ejpam-48	376	5	)	)	PUNCT
ejpam-48	376	6	,	,	PUNCT
ejpam-48	376	7	(	(	PUNCT
ejpam-48	376	8	99	99	NUM
ejpam-48	376	9	-	-	SYM
ejpam-48	376	10	121	121	NUM
ejpam-48	376	11	)	)	PUNCT
ejpam-48	376	12	112	112	NUM
ejpam-48	376	13	figure	figure	NOUN
ejpam-48	376	14	3	3	NUM
ejpam-48	376	15	:	:	PUNCT
ejpam-48	376	16	audrey	audrey	PROPN
ejpam-48	376	17	’s	’s	PART
ejpam-48	376	18	written	write	VERB
ejpam-48	376	19	work	work	NOUN
ejpam-48	376	20	:	:	PUNCT
ejpam-48	376	21	∞	∞	NUM
ejpam-48	376	22	in	in	ADP
ejpam-48	376	23	relation	relation	NOUN
ejpam-48	376	24	to	to	PART
ejpam-48	376	25	points	point	NOUN
ejpam-48	376	26	on	on	ADP
ejpam-48	376	27	the	the	DET
ejpam-48	376	28	number	number	NOUN
ejpam-48	376	29	line	line	NOUN
ejpam-48	376	30	audrey	audrey	NOUN
ejpam-48	376	31	:	:	PUNCT
ejpam-48	376	32	sure	sure	ADJ
ejpam-48	376	33	,	,	PUNCT
ejpam-48	376	34	this	this	DET
ejpam-48	376	35	one	one	NOUN
ejpam-48	376	36	looks	look	VERB
ejpam-48	376	37	bigger	big	ADJ
ejpam-48	376	38	…	…	PUNCT
ejpam-48	376	39	but	but	CCONJ
ejpam-48	376	40	,	,	PUNCT
ejpam-48	376	41	i	i	PRON
ejpam-48	376	42	mean	mean	VERB
ejpam-48	376	43	,	,	PUNCT
ejpam-48	376	44	this	this	PRON
ejpam-48	376	45	is	be	AUX
ejpam-48	376	46	n't	not	PART
ejpam-48	376	47	a	a	DET
ejpam-48	376	48	measurable	measurable	ADJ
ejpam-48	376	49	space	space	NOUN
ejpam-48	376	50	.	.	PUNCT
ejpam-48	377	1	how	how	SCONJ
ejpam-48	377	2	do	do	AUX
ejpam-48	377	3	you	you	PRON
ejpam-48	377	4	measure	measure	VERB
ejpam-48	377	5	this	this	PRON
ejpam-48	377	6	,	,	PUNCT
ejpam-48	377	7	‘	'	PUNCT
ejpam-48	377	8	cuz	cuz	SCONJ
ejpam-48	377	9	you	you	PRON
ejpam-48	377	10	do	do	AUX
ejpam-48	377	11	n’t	not	PART
ejpam-48	377	12	know	know	VERB
ejpam-48	377	13	what	what	PRON
ejpam-48	377	14	infinity	infinity	NOUN
ejpam-48	377	15	is	be	AUX
ejpam-48	377	16	?	?	PUNCT
ejpam-48	378	1	thus	thus	ADV
ejpam-48	378	2	,	,	PUNCT
ejpam-48	378	3	audrey	audrey	PROPN
ejpam-48	378	4	offers	offer	VERB
ejpam-48	378	5	some	some	DET
ejpam-48	378	6	indication	indication	NOUN
ejpam-48	378	7	of	of	ADP
ejpam-48	378	8	seeing	see	VERB
ejpam-48	378	9	the	the	DET
ejpam-48	378	10	process	process	NOUN
ejpam-48	378	11	of	of	ADP
ejpam-48	378	12	iteration	iteration	NOUN
ejpam-48	378	13	throughnas	throughna	NOUN
ejpam-48	378	14	complete	complete	ADJ
ejpam-48	378	15	:	:	PUNCT
ejpam-48	378	16	(	(	PUNCT
ejpam-48	378	17	1	1	X
ejpam-48	378	18	)	)	PUNCT
ejpam-48	378	19	one	one	NOUN
ejpam-48	378	20	obtains	obtain	VERB
ejpam-48	378	21	only	only	ADV
ejpam-48	378	22	natural	natural	ADJ
ejpam-48	378	23	numbers	number	NOUN
ejpam-48	378	24	,	,	PUNCT
ejpam-48	378	25	that	that	ADV
ejpam-48	378	26	is	is	ADV
ejpam-48	378	27	,	,	PUNCT
ejpam-48	378	28	∞	∞	PROPN
ejpam-48	378	29	is	be	AUX
ejpam-48	378	30	not	not	PART
ejpam-48	378	31	a	a	DET
ejpam-48	378	32	natural	natural	ADJ
ejpam-48	378	33	number	number	NOUN
ejpam-48	378	34	;	;	PUNCT
ejpam-48	378	35	(	(	PUNCT
ejpam-48	378	36	2	2	X
ejpam-48	378	37	)	)	PUNCT
ejpam-48	378	38	each	each	DET
ejpam-48	378	39	natural	natural	ADJ
ejpam-48	378	40	number	number	NOUN
ejpam-48	378	41	is	be	AUX
ejpam-48	378	42	infinitely	infinitely	ADV
ejpam-48	378	43	far	far	ADV
ejpam-48	378	44	from	from	ADP
ejpam-48	378	45	∞	∞	NUM
ejpam-48	378	46	;	;	PUNCT
ejpam-48	378	47	(	(	PUNCT
ejpam-48	378	48	3	3	X
ejpam-48	378	49	)	)	PUNCT
ejpam-48	378	50	when	when	SCONJ
ejpam-48	378	51	enumerated	enumerate	VERB
ejpam-48	378	52	,	,	PUNCT
ejpam-48	378	53	the	the	DET
ejpam-48	378	54	natural	natural	ADJ
ejpam-48	378	55	numbers	number	NOUN
ejpam-48	378	56	can	can	AUX
ejpam-48	378	57	be	be	AUX
ejpam-48	378	58	expressed	express	VERB
ejpam-48	378	59	as	as	ADP
ejpam-48	378	60	a	a	DET
ejpam-48	378	61	set	set	NOUN
ejpam-48	378	62	}	}	PUNCT
ejpam-48	378	63	,	,	PUNCT
ejpam-48	378	64	2,1	2,1	NUM
ejpam-48	378	65	{	{	PUNCT
ejpam-48	378	66			NOUN
ejpam-48	378	67	.	.	PUNCT
ejpam-48	379	1	yet	yet	ADV
ejpam-48	379	2	,	,	PUNCT
ejpam-48	379	3	her	her	PRON
ejpam-48	379	4	view	view	NOUN
ejpam-48	379	5	of	of	ADP
ejpam-48	379	6	∞	∞	NUM
ejpam-48	379	7	as	as	ADP
ejpam-48	379	8	a	a	DET
ejpam-48	379	9	“	"	PUNCT
ejpam-48	379	10	full	full	ADJ
ejpam-48	379	11	measure	measure	NOUN
ejpam-48	379	12	of	of	ADP
ejpam-48	379	13	going	go	VERB
ejpam-48	379	14	on	on	ADP
ejpam-48	379	15	”	"	PUNCT
ejpam-48	379	16	indicates	indicate	VERB
ejpam-48	379	17	that	that	SCONJ
ejpam-48	379	18	such	such	DET
ejpam-48	379	19	a	a	DET
ejpam-48	379	20	conception	conception	NOUN
ejpam-48	379	21	,	,	PUNCT
ejpam-48	379	22	if	if	SCONJ
ejpam-48	379	23	constructed	construct	VERB
ejpam-48	379	24	,	,	PUNCT
ejpam-48	379	25	may	may	AUX
ejpam-48	379	26	be	be	AUX
ejpam-48	379	27	tenuous	tenuous	ADJ
ejpam-48	379	28	.	.	PUNCT
ejpam-48	380	1	in	in	ADP
ejpam-48	380	2	an	an	DET
ejpam-48	380	3	effort	effort	NOUN
ejpam-48	380	4	to	to	PART
ejpam-48	380	5	redirect	redirect	VERB
ejpam-48	380	6	the	the	DET
ejpam-48	380	7	students	student	NOUN
ejpam-48	380	8	’	'	PUNCT
ejpam-48	380	9	thinking	thinking	NOUN
ejpam-48	380	10	,	,	PUNCT
ejpam-48	380	11	the	the	DET
ejpam-48	380	12	interviewer	interviewer	NOUN
ejpam-48	380	13	asks	ask	VERB
ejpam-48	380	14	the	the	DET
ejpam-48	380	15	students	student	NOUN
ejpam-48	380	16	to	to	PART
ejpam-48	380	17	consider	consider	VERB
ejpam-48	380	18	the	the	DET
ejpam-48	380	19	correspondence	correspondence	NOUN
ejpam-48	380	20	t	t	PROPN
ejpam-48	380	21	:	:	PUNCT
ejpam-48	380	22	→nn	→nn	PROPN
ejpam-48	380	23	.	.	PUNCT
ejpam-48	381	1	audrey	audrey	PROPN
ejpam-48	381	2	explains	explain	VERB
ejpam-48	381	3	that	that	SCONJ
ejpam-48	381	4	an	an	DET
ejpam-48	381	5	arbitrarily	arbitrarily	ADV
ejpam-48	381	6	selected	select	VERB
ejpam-48	381	7	ballqis	ballqi	NOUN
ejpam-48	381	8	moved	move	VERB
ejpam-48	381	9	from	from	ADP
ejpam-48	381	10	a	a	PRON
ejpam-48	381	11	to	to	ADP
ejpam-48	381	12	t	t	PROPN
ejpam-48	381	13	at	at	ADP
ejpam-48	381	14	stepq	stepq	NOUN
ejpam-48	381	15	:	:	PUNCT
ejpam-48	381	16	it	it	PRON
ejpam-48	381	17	“	"	PUNCT
ejpam-48	381	18	hits	hit	VERB
ejpam-48	381	19	the	the	DET
ejpam-48	381	20	first	first	ADJ
ejpam-48	381	21	bin	bin	NOUN
ejpam-48	381	22	(	(	PUNCT
ejpam-48	381	23	bin	bin	NOUN
ejpam-48	381	24	a	a	NOUN
ejpam-48	381	25	)	)	PUNCT
ejpam-48	381	26	where	where	SCONJ
ejpam-48	381	27	it	it	PRON
ejpam-48	381	28	takes	take	VERB
ejpam-48	381	29	a	a	DET
ejpam-48	381	30	little	little	ADJ
ejpam-48	381	31	while	while	NOUN
ejpam-48	381	32	but	but	CCONJ
ejpam-48	381	33	eventually	eventually	ADV
ejpam-48	381	34	it	it	PRON
ejpam-48	381	35	gets	get	AUX
ejpam-48	381	36	thrown	throw	VERB
ejpam-48	381	37	away….it	away….it	PROPN
ejpam-48	381	38	’s	’s	PART
ejpam-48	381	39	always	always	ADV
ejpam-48	381	40	going	go	VERB
ejpam-48	381	41	to	to	PART
ejpam-48	381	42	go	go	VERB
ejpam-48	381	43	in	in	ADP
ejpam-48	381	44	t	t	PROPN
ejpam-48	381	45	atq	atq	PROPN
ejpam-48	381	46	.	.	PUNCT
ejpam-48	381	47	”	"	PUNCT
ejpam-48	382	1	as	as	SCONJ
ejpam-48	382	2	she	she	PRON
ejpam-48	382	3	imagines	imagine	VERB
ejpam-48	382	4	continuing	continue	VERB
ejpam-48	382	5	these	these	DET
ejpam-48	382	6	steps	step	NOUN
ejpam-48	382	7	,	,	PUNCT
ejpam-48	382	8	she	she	PRON
ejpam-48	382	9	considers	consider	VERB
ejpam-48	382	10	the	the	DET
ejpam-48	382	11	possibility	possibility	NOUN
ejpam-48	382	12	of	of	ADP
ejpam-48	382	13	a	a	DET
ejpam-48	382	14	being	be	AUX
ejpam-48	382	15	empty	empty	ADJ
ejpam-48	382	16	:	:	PUNCT
ejpam-48	382	17	audrey	audrey	NOUN
ejpam-48	382	18	:	:	PUNCT
ejpam-48	382	19	you	you	PRON
ejpam-48	382	20	could	could	AUX
ejpam-48	382	21	say	say	VERB
ejpam-48	382	22	that	that	SCONJ
ejpam-48	382	23	everything	everything	PRON
ejpam-48	382	24	moves	move	VERB
ejpam-48	382	25	over	over	ADP
ejpam-48	382	26	‘	'	PUNCT
ejpam-48	382	27	cuz	cuz	ADJ
ejpam-48	382	28	…	…	PUNCT
ejpam-48	382	29	like	like	ADP
ejpam-48	382	30	this	this	DET
ejpam-48	382	31	one	one	NOUN
ejpam-48	382	32	,	,	PUNCT
ejpam-48	382	33	if	if	SCONJ
ejpam-48	382	34	you	you	PRON
ejpam-48	382	35	go	go	VERB
ejpam-48	382	36	up	up	ADP
ejpam-48	382	37	toqit	toqit	NOUN
ejpam-48	382	38	moves	move	NOUN
ejpam-48	382	39	overqelements	overqelement	NOUN
ejpam-48	382	40	,	,	PUNCT
ejpam-48	382	41	alright	alright	INTJ
ejpam-48	382	42	?	?	PUNCT
ejpam-48	383	1	so	so	ADV
ejpam-48	383	2	if	if	SCONJ
ejpam-48	383	3	you	you	PRON
ejpam-48	383	4	go	go	VERB
ejpam-48	383	5	up	up	ADP
ejpam-48	383	6	to	to	ADP
ejpam-48	383	7	infinity	infinity	NOUN
ejpam-48	383	8	,	,	PUNCT
ejpam-48	383	9	it	it	PRON
ejpam-48	383	10	moves	move	VERB
ejpam-48	383	11	an	an	DET
ejpam-48	383	12	infinite	infinite	ADJ
ejpam-48	383	13	number	number	NOUN
ejpam-48	383	14	of	of	ADP
ejpam-48	383	15	elements	element	NOUN
ejpam-48	383	16	.	.	PUNCT
ejpam-48	384	1	so	so	ADV
ejpam-48	384	2	you	you	PRON
ejpam-48	384	3	might	might	AUX
ejpam-48	384	4	think	think	VERB
ejpam-48	384	5	that	that	SCONJ
ejpam-48	384	6	there	there	PRON
ejpam-48	384	7	is	be	VERB
ejpam-48	384	8	nothing	nothing	PRON
ejpam-48	384	9	in	in	ADP
ejpam-48	384	10	a	a	PRON
ejpam-48	384	11	,	,	PUNCT
ejpam-48	384	12	but	but	CCONJ
ejpam-48	384	13	if	if	SCONJ
ejpam-48	384	14	you	you	PRON
ejpam-48	384	15	were	be	AUX
ejpam-48	384	16	to	to	PART
ejpam-48	384	17	stop	stop	VERB
ejpam-48	384	18	it	it	PRON
ejpam-48	384	19	at	at	ADP
ejpam-48	384	20	any	any	DET
ejpam-48	384	21	one	one	NUM
ejpam-48	384	22	given	give	VERB
ejpam-48	384	23	point	point	NOUN
ejpam-48	384	24	,	,	PUNCT
ejpam-48	384	25	there	there	PRON
ejpam-48	384	26	are	be	VERB
ejpam-48	384	27	elements	element	NOUN
ejpam-48	384	28	in	in	ADP
ejpam-48	384	29	a.	a.	NOUN
ejpam-48	384	30	i	i	PRON
ejpam-48	384	31	:	:	PUNCT
ejpam-48	385	1	yeah	yeah	INTJ
ejpam-48	385	2	i	i	PRON
ejpam-48	385	3	think	think	VERB
ejpam-48	385	4	we	we	PRON
ejpam-48	385	5	all	all	PRON
ejpam-48	385	6	agree	agree	VERB
ejpam-48	385	7	about	about	ADP
ejpam-48	385	8	that	that	PRON
ejpam-48	385	9	,	,	PUNCT
ejpam-48	385	10	but	but	CCONJ
ejpam-48	385	11	do	do	AUX
ejpam-48	385	12	we	we	PRON
ejpam-48	385	13	ever	ever	ADV
ejpam-48	385	14	stop	stop	VERB
ejpam-48	385	15	?	?	PUNCT
ejpam-48	386	1	audrey	audrey	PROPN
ejpam-48	386	2	:	:	PUNCT
ejpam-48	387	1	no	no	INTJ
ejpam-48	387	2	.	.	PUNCT
ejpam-48	388	1	i	i	PRON
ejpam-48	388	2	:	:	PUNCT
ejpam-48	388	3	so	so	ADV
ejpam-48	388	4	what	what	PRON
ejpam-48	388	5	happens	happen	VERB
ejpam-48	388	6	about	about	ADP
ejpam-48	388	7	a	a	PRON
ejpam-48	388	8	?	?	PUNCT
ejpam-48	389	1	audrey	audrey	NOUN
ejpam-48	389	2	:	:	PUNCT
ejpam-48	390	1	well	well	INTJ
ejpam-48	390	2	you	you	PRON
ejpam-48	390	3	can	can	AUX
ejpam-48	390	4	say	say	VERB
ejpam-48	390	5	it	it	PRON
ejpam-48	390	6	’s	’	VERB
ejpam-48	390	7	empty	empty	ADJ
ejpam-48	390	8	,	,	PUNCT
ejpam-48	390	9	but	but	CCONJ
ejpam-48	390	10	if	if	SCONJ
ejpam-48	390	11	you	you	PRON
ejpam-48	390	12	were	be	AUX
ejpam-48	390	13	to	to	PART
ejpam-48	390	14	stop	stop	VERB
ejpam-48	390	15	,	,	PUNCT
ejpam-48	390	16	it	it	PRON
ejpam-48	390	17	would	would	AUX
ejpam-48	390	18	n’t	not	PART
ejpam-48	390	19	be	be	AUX
ejpam-48	390	20	.	.	PUNCT
ejpam-48	391	1	i	i	PRON
ejpam-48	391	2	:	:	PUNCT
ejpam-48	392	1	yeah	yeah	INTJ
ejpam-48	392	2	,	,	PUNCT
ejpam-48	392	3	if	if	SCONJ
ejpam-48	392	4	you	you	PRON
ejpam-48	392	5	were	be	AUX
ejpam-48	392	6	going	go	VERB
ejpam-48	392	7	to	to	PART
ejpam-48	392	8	stop	stop	VERB
ejpam-48	392	9	,	,	PUNCT
ejpam-48	392	10	but	but	CCONJ
ejpam-48	392	11	we	we	PRON
ejpam-48	392	12	are	be	AUX
ejpam-48	392	13	n’t	not	PART
ejpam-48	392	14	stopping	stop	VERB
ejpam-48	392	15	,	,	PUNCT
ejpam-48	392	16	are	be	AUX
ejpam-48	392	17	we	we	PRON
ejpam-48	392	18	?	?	PUNCT
ejpam-48	393	1	audrey	audrey	PROPN
ejpam-48	393	2	:	:	PUNCT
ejpam-48	393	3	no	no	INTJ
ejpam-48	393	4	,	,	PUNCT
ejpam-48	393	5	apparently	apparently	ADV
ejpam-48	393	6	not	not	PART
ejpam-48	393	7	.	.	PUNCT
ejpam-48	394	1	(	(	PUNCT
ejpam-48	394	2	laughter	laughter	NOUN
ejpam-48	394	3	)	)	PUNCT
ejpam-48	395	1	i	i	PRON
ejpam-48	395	2	:	:	PUNCT
ejpam-48	395	3	well	well	INTJ
ejpam-48	395	4	,	,	PUNCT
ejpam-48	395	5	no	no	INTJ
ejpam-48	395	6	,	,	PUNCT
ejpam-48	395	7	i	i	PRON
ejpam-48	395	8	mean	mean	VERB
ejpam-48	395	9	are	be	AUX
ejpam-48	395	10	we	we	PRON
ejpam-48	395	11	stopping	stop	VERB
ejpam-48	395	12	?	?	PUNCT
ejpam-48	396	1	e.	e.	PROPN
ejpam-48	396	2	dubinsky	dubinsky	PROPN
ejpam-48	396	3	et	et	PROPN
ejpam-48	396	4	al	al	PROPN
ejpam-48	396	5	.	.	PUNCT
ejpam-48	396	6	/	/	SYM
ejpam-48	396	7	eur	eur	PROPN
ejpam-48	396	8	.	.	PUNCT
ejpam-48	397	1	j.	j.	PROPN
ejpam-48	397	2	pure	pure	PROPN
ejpam-48	397	3	.	.	PUNCT
ejpam-48	398	1	appl	appl	PROPN
ejpam-48	398	2	.	.	PUNCT
ejpam-48	398	3	math	math	NOUN
ejpam-48	398	4	.	.	PUNCT
ejpam-48	399	1	1	1	NUM
ejpam-48	399	2	,	,	PUNCT
ejpam-48	399	3	(	(	PUNCT
ejpam-48	399	4	2008	2008	NUM
ejpam-48	399	5	)	)	PUNCT
ejpam-48	399	6	,	,	PUNCT
ejpam-48	399	7	(	(	PUNCT
ejpam-48	399	8	99	99	NUM
ejpam-48	399	9	-	-	SYM
ejpam-48	399	10	121	121	NUM
ejpam-48	399	11	)	)	PUNCT
ejpam-48	399	12	113	113	NUM
ejpam-48	399	13	audrey	audrey	NOUN
ejpam-48	399	14	:	:	PUNCT
ejpam-48	399	15	no	no	INTJ
ejpam-48	399	16	,	,	PUNCT
ejpam-48	399	17	we	we	PRON
ejpam-48	399	18	said	say	VERB
ejpam-48	399	19	we	we	PRON
ejpam-48	399	20	could	could	AUX
ejpam-48	399	21	n’t	not	PART
ejpam-48	399	22	stop	stop	VERB
ejpam-48	399	23	.	.	PUNCT
ejpam-48	400	1	in	in	ADP
ejpam-48	400	2	this	this	DET
ejpam-48	400	3	excerpt	excerpt	NOUN
ejpam-48	400	4	,	,	PUNCT
ejpam-48	400	5	the	the	DET
ejpam-48	400	6	issue	issue	NOUN
ejpam-48	400	7	of	of	ADP
ejpam-48	400	8	the	the	DET
ejpam-48	400	9	relationship	relationship	NOUN
ejpam-48	400	10	between	between	ADP
ejpam-48	400	11	the	the	DET
ejpam-48	400	12	final	final	ADJ
ejpam-48	400	13	state	state	NOUN
ejpam-48	400	14	and	and	CCONJ
ejpam-48	400	15	the	the	DET
ejpam-48	400	16	intermediate	intermediate	ADJ
ejpam-48	400	17	states	state	NOUN
ejpam-48	400	18	arises	arise	VERB
ejpam-48	400	19	again	again	ADV
ejpam-48	400	20	.	.	PUNCT
ejpam-48	401	1	audrey	audrey	PROPN
ejpam-48	401	2	seems	seem	VERB
ejpam-48	401	3	conflicted	conflicted	ADJ
ejpam-48	401	4	over	over	ADP
ejpam-48	401	5	the	the	DET
ejpam-48	401	6	possibility	possibility	NOUN
ejpam-48	401	7	of	of	ADP
ejpam-48	401	8	bin	bin	PROPN
ejpam-48	401	9	a	a	DET
ejpam-48	401	10	being	be	AUX
ejpam-48	401	11	empty	empty	ADJ
ejpam-48	401	12	,	,	PUNCT
ejpam-48	401	13	since	since	SCONJ
ejpam-48	401	14	a	a	PRON
ejpam-48	401	15	is	be	AUX
ejpam-48	401	16	not	not	PART
ejpam-48	401	17	empty	empty	ADJ
ejpam-48	401	18	for	for	ADP
ejpam-48	401	19	any	any	DET
ejpam-48	401	20	intermediate	intermediate	ADJ
ejpam-48	401	21	state	state	NOUN
ejpam-48	401	22	.	.	PUNCT
ejpam-48	402	1	a	a	DET
ejpam-48	402	2	few	few	ADJ
ejpam-48	402	3	moments	moment	NOUN
ejpam-48	402	4	later	later	ADV
ejpam-48	402	5	,	,	PUNCT
ejpam-48	402	6	she	she	PRON
ejpam-48	402	7	retreats	retreat	VERB
ejpam-48	402	8	from	from	ADP
ejpam-48	402	9	the	the	DET
ejpam-48	402	10	possibility	possibility	NOUN
ejpam-48	402	11	of	of	ADP
ejpam-48	402	12	a	a	DET
ejpam-48	402	13	being	be	AUX
ejpam-48	402	14	empty	empty	ADJ
ejpam-48	402	15	,	,	PUNCT
ejpam-48	402	16	in	in	ADP
ejpam-48	402	17	large	large	ADJ
ejpam-48	402	18	part	part	NOUN
ejpam-48	402	19	because	because	SCONJ
ejpam-48	402	20	her	her	PRON
ejpam-48	402	21	view	view	NOUN
ejpam-48	402	22	of	of	ADP
ejpam-48	402	23	∞	∞	NUM
ejpam-48	402	24	as	as	ADP
ejpam-48	402	25	the	the	DET
ejpam-48	402	26	full	full	ADJ
ejpam-48	402	27	measure	measure	NOUN
ejpam-48	402	28	of	of	ADP
ejpam-48	402	29	“	"	PUNCT
ejpam-48	402	30	going	go	VERB
ejpam-48	402	31	on	on	ADP
ejpam-48	402	32	”	"	PUNCT
ejpam-48	402	33	is	be	AUX
ejpam-48	402	34	a	a	DET
ejpam-48	402	35	stronger	strong	ADJ
ejpam-48	402	36	influence	influence	NOUN
ejpam-48	402	37	on	on	ADP
ejpam-48	402	38	her	her	PRON
ejpam-48	402	39	thinking	thinking	NOUN
ejpam-48	402	40	:	:	PUNCT
ejpam-48	402	41	audrey	audrey	PROPN
ejpam-48	402	42	:	:	PUNCT
ejpam-48	402	43	but	but	CCONJ
ejpam-48	402	44	since	since	SCONJ
ejpam-48	402	45	it	it	PRON
ejpam-48	402	46	never	never	ADV
ejpam-48	402	47	ends	end	VERB
ejpam-48	402	48	,	,	PUNCT
ejpam-48	402	49	a	a	PRON
ejpam-48	402	50	is	be	AUX
ejpam-48	402	51	really	really	ADV
ejpam-48	402	52	never	never	ADV
ejpam-48	402	53	empty	empty	ADJ
ejpam-48	402	54	because	because	SCONJ
ejpam-48	402	55	there	there	PRON
ejpam-48	402	56	’s	’	VERB
ejpam-48	402	57	always	always	ADV
ejpam-48	402	58	another	another	DET
ejpam-48	402	59	element	element	NOUN
ejpam-48	402	60	that	that	PRON
ejpam-48	402	61	’s	’	VERB
ejpam-48	402	62	comin	comin	NOUN
ejpam-48	402	63	’	'	PUNCT
ejpam-48	402	64	down	down	ADV
ejpam-48	402	65	while	while	SCONJ
ejpam-48	402	66	something	something	PRON
ejpam-48	402	67	else	else	ADV
ejpam-48	402	68	is	be	AUX
ejpam-48	402	69	movin	movin	NOUN
ejpam-48	402	70	’	'	PUNCT
ejpam-48	402	71	over	over	ADV
ejpam-48	402	72	.	.	PUNCT
ejpam-48	403	1	but	but	CCONJ
ejpam-48	403	2	what	what	PRON
ejpam-48	403	3	those	those	DET
ejpam-48	403	4	elements	element	NOUN
ejpam-48	403	5	are	be	AUX
ejpam-48	403	6	,	,	PUNCT
ejpam-48	403	7	i	i	PRON
ejpam-48	403	8	do	do	AUX
ejpam-48	403	9	n’t	not	PART
ejpam-48	403	10	know	know	VERB
ejpam-48	403	11	.	.	PUNCT
ejpam-48	404	1	they	they	PRON
ejpam-48	404	2	are	be	AUX
ejpam-48	404	3	natural	natural	ADJ
ejpam-48	404	4	numbers	number	NOUN
ejpam-48	404	5	,	,	PUNCT
ejpam-48	404	6	but	but	CCONJ
ejpam-48	404	7	…	…	PUNCT
ejpam-48	404	8	i	i	PRON
ejpam-48	404	9	:	:	PUNCT
ejpam-48	404	10	so	so	ADV
ejpam-48	404	11	in	in	ADP
ejpam-48	404	12	other	other	ADJ
ejpam-48	404	13	words	word	NOUN
ejpam-48	404	14	,	,	PUNCT
ejpam-48	404	15	what	what	PRON
ejpam-48	404	16	you	you	PRON
ejpam-48	404	17	’re	’re	AUX
ejpam-48	404	18	saying	say	VERB
ejpam-48	404	19	is	be	AUX
ejpam-48	404	20	,	,	PUNCT
ejpam-48	404	21	at	at	ADP
ejpam-48	404	22	any	any	DET
ejpam-48	404	23	given	give	VERB
ejpam-48	404	24	spot	spot	NOUN
ejpam-48	404	25	i	i	PRON
ejpam-48	404	26	’m	’m	AUX
ejpam-48	404	27	gon	go	VERB
ejpam-48	404	28	na	to	PART
ejpam-48	404	29	have	have	VERB
ejpam-48	404	30	stuff	stuff	NOUN
ejpam-48	404	31	in	in	ADP
ejpam-48	404	32	b	b	PROPN
ejpam-48	404	33	,	,	PUNCT
ejpam-48	404	34	i	i	PRON
ejpam-48	404	35	’m	’m	AUX
ejpam-48	404	36	gon	go	VERB
ejpam-48	404	37	na	to	PART
ejpam-48	404	38	have	have	VERB
ejpam-48	404	39	stuff	stuff	NOUN
ejpam-48	404	40	in	in	ADP
ejpam-48	404	41	a.	a.	PROPN
ejpam-48	404	42	audrey	audrey	PROPN
ejpam-48	404	43	:	:	PUNCT
ejpam-48	404	44	actually	actually	ADV
ejpam-48	404	45	,	,	PUNCT
ejpam-48	404	46	you	you	PRON
ejpam-48	404	47	’re	’re	AUX
ejpam-48	404	48	going	go	VERB
ejpam-48	404	49	to	to	PART
ejpam-48	404	50	have	have	VERB
ejpam-48	404	51	an	an	DET
ejpam-48	404	52	equal	equal	ADJ
ejpam-48	404	53	number	number	NOUN
ejpam-48	404	54	of	of	ADP
ejpam-48	404	55	stuff	stuff	NOUN
ejpam-48	404	56	in	in	ADP
ejpam-48	404	57	a	a	PRON
ejpam-48	404	58	and	and	CCONJ
ejpam-48	404	59	b.	b.	PROPN
ejpam-48	404	60	when	when	SCONJ
ejpam-48	404	61	asked	ask	VERB
ejpam-48	404	62	to	to	PART
ejpam-48	404	63	imagine	imagine	VERB
ejpam-48	404	64	completing	complete	VERB
ejpam-48	404	65	the	the	DET
ejpam-48	404	66	infinite	infinite	ADJ
ejpam-48	404	67	process	process	NOUN
ejpam-48	404	68	of	of	ADP
ejpam-48	404	69	placingnin	placingnin	PROPN
ejpam-48	404	70	t	t	PROPN
ejpam-48	404	71	at	at	ADP
ejpam-48	404	72	stepn	stepn	NOUN
ejpam-48	404	73	,	,	PUNCT
ejpam-48	404	74	she	she	PRON
ejpam-48	404	75	rejects	reject	VERB
ejpam-48	404	76	this	this	PRON
ejpam-48	404	77	,	,	PUNCT
ejpam-48	404	78	because	because	SCONJ
ejpam-48	404	79	to	to	ADP
ejpam-48	404	80	her	she	PRON
ejpam-48	404	81	,	,	PUNCT
ejpam-48	404	82	completing	complete	VERB
ejpam-48	404	83	a	a	DET
ejpam-48	404	84	process	process	NOUN
ejpam-48	404	85	necessarily	necessarily	ADV
ejpam-48	404	86	implies	imply	VERB
ejpam-48	404	87	that	that	SCONJ
ejpam-48	404	88	the	the	DET
ejpam-48	404	89	process	process	NOUN
ejpam-48	404	90	is	be	AUX
ejpam-48	404	91	finite	finite	ADJ
ejpam-48	404	92	:	:	PUNCT
ejpam-48	404	93	i	i	PRON
ejpam-48	404	94	:	:	PUNCT
ejpam-48	404	95	can	can	AUX
ejpam-48	404	96	you	you	PRON
ejpam-48	404	97	imagine	imagine	VERB
ejpam-48	404	98	what	what	PRON
ejpam-48	404	99	it	it	PRON
ejpam-48	404	100	would	would	AUX
ejpam-48	404	101	look	look	VERB
ejpam-48	404	102	like	like	ADP
ejpam-48	404	103	if	if	SCONJ
ejpam-48	404	104	you	you	PRON
ejpam-48	404	105	did	do	AUX
ejpam-48	404	106	finish	finish	VERB
ejpam-48	404	107	,	,	PUNCT
ejpam-48	404	108	complete	complete	VERB
ejpam-48	404	109	this	this	DET
ejpam-48	404	110	process	process	NOUN
ejpam-48	404	111	that	that	PRON
ejpam-48	404	112	we	we	PRON
ejpam-48	404	113	’ve	’ve	AUX
ejpam-48	404	114	been	be	AUX
ejpam-48	404	115	talking	talk	VERB
ejpam-48	404	116	about	about	ADP
ejpam-48	404	117	in	in	ADP
ejpam-48	404	118	your	your	PRON
ejpam-48	404	119	mind	mind	NOUN
ejpam-48	404	120	.	.	PUNCT
ejpam-48	405	1	what	what	PRON
ejpam-48	405	2	would	would	AUX
ejpam-48	405	3	be	be	AUX
ejpam-48	405	4	left	leave	VERB
ejpam-48	405	5	then	then	ADV
ejpam-48	405	6	if	if	SCONJ
ejpam-48	405	7	you	you	PRON
ejpam-48	405	8	could	could	AUX
ejpam-48	405	9	?	?	PUNCT
ejpam-48	406	1	audrey	audrey	PROPN
ejpam-48	406	2	:	:	PUNCT
ejpam-48	406	3	that	that	PRON
ejpam-48	406	4	would	would	AUX
ejpam-48	406	5	be	be	AUX
ejpam-48	406	6	finite	finite	ADJ
ejpam-48	406	7	,	,	PUNCT
ejpam-48	406	8	if	if	SCONJ
ejpam-48	406	9	you	you	PRON
ejpam-48	406	10	completed	complete	VERB
ejpam-48	406	11	it	it	PRON
ejpam-48	406	12	.	.	PUNCT
ejpam-48	407	1	i	i	PRON
ejpam-48	407	2	:	:	PUNCT
ejpam-48	407	3	no	no	INTJ
ejpam-48	407	4	,	,	PUNCT
ejpam-48	407	5	i	i	PRON
ejpam-48	407	6	meant	mean	VERB
ejpam-48	407	7	complete	complete	ADJ
ejpam-48	407	8	the	the	DET
ejpam-48	407	9	infinite	infinite	ADJ
ejpam-48	407	10	process	process	NOUN
ejpam-48	407	11	.	.	PUNCT
ejpam-48	408	1	audrey	audrey	PROPN
ejpam-48	408	2	:	:	PUNCT
ejpam-48	408	3	you	you	PRON
ejpam-48	408	4	have	have	VERB
ejpam-48	408	5	to	to	PART
ejpam-48	408	6	define	define	VERB
ejpam-48	408	7	infinity	infinity	NOUN
ejpam-48	408	8	if	if	SCONJ
ejpam-48	408	9	you	you	PRON
ejpam-48	408	10	’re	’re	AUX
ejpam-48	408	11	going	go	VERB
ejpam-48	408	12	to	to	PART
ejpam-48	408	13	do	do	VERB
ejpam-48	408	14	that	that	PRON
ejpam-48	408	15	.	.	PUNCT
ejpam-48	409	1	because	because	SCONJ
ejpam-48	409	2	if	if	SCONJ
ejpam-48	409	3	you	you	PRON
ejpam-48	409	4	went	go	VERB
ejpam-48	409	5	up	up	ADP
ejpam-48	409	6	to	to	ADP
ejpam-48	409	7	a	a	DET
ejpam-48	409	8	million	million	NUM
ejpam-48	409	9	and	and	CCONJ
ejpam-48	409	10	said	say	VERB
ejpam-48	409	11	,	,	PUNCT
ejpam-48	409	12	“	"	PUNCT
ejpam-48	409	13	i	i	PRON
ejpam-48	409	14	want	want	VERB
ejpam-48	409	15	an	an	DET
ejpam-48	409	16	infinite	infinite	ADJ
ejpam-48	409	17	number	number	NOUN
ejpam-48	409	18	of	of	ADP
ejpam-48	409	19	times	time	NOUN
ejpam-48	409	20	,	,	PUNCT
ejpam-48	409	21	”	"	PUNCT
ejpam-48	409	22	and	and	CCONJ
ejpam-48	409	23	pressed	press	VERB
ejpam-48	409	24	this	this	DET
ejpam-48	409	25	thing	thing	NOUN
ejpam-48	409	26	forever	forever	ADV
ejpam-48	409	27	,	,	PUNCT
ejpam-48	409	28	right	right	INTJ
ejpam-48	409	29	,	,	PUNCT
ejpam-48	409	30	you	you	PRON
ejpam-48	409	31	only	only	ADV
ejpam-48	409	32	went	go	VERB
ejpam-48	409	33	to	to	ADP
ejpam-48	409	34	a	a	DET
ejpam-48	409	35	million	million	NUM
ejpam-48	409	36	.	.	PUNCT
ejpam-48	410	1	you	you	PRON
ejpam-48	410	2	’ve	’ve	AUX
ejpam-48	410	3	stopped	stop	VERB
ejpam-48	410	4	.	.	PUNCT
ejpam-48	411	1	there	there	PRON
ejpam-48	411	2	’s	’	VERB
ejpam-48	411	3	more	more	ADJ
ejpam-48	411	4	.	.	PUNCT
ejpam-48	412	1	what	what	PRON
ejpam-48	412	2	about	about	ADP
ejpam-48	412	3	a	a	DET
ejpam-48	412	4	million	million	NUM
ejpam-48	412	5	and	and	CCONJ
ejpam-48	412	6	one	one	NUM
ejpam-48	412	7	?	?	PUNCT
ejpam-48	413	1	audrey	audrey	PROPN
ejpam-48	413	2	concludes	conclude	VERB
ejpam-48	413	3	by	by	ADP
ejpam-48	413	4	saying	say	VERB
ejpam-48	413	5	,	,	PUNCT
ejpam-48	413	6	“	"	PUNCT
ejpam-48	413	7	we	we	PRON
ejpam-48	413	8	said	say	VERB
ejpam-48	413	9	that	that	SCONJ
ejpam-48	413	10	for	for	ADP
ejpam-48	413	11	any	any	DET
ejpam-48	413	12	natural	natural	ADJ
ejpam-48	413	13	number	number	NOUN
ejpam-48	413	14	,	,	PUNCT
ejpam-48	413	15	it	it	PRON
ejpam-48	413	16	will	will	AUX
ejpam-48	413	17	eventually	eventually	ADV
ejpam-48	413	18	be	be	AUX
ejpam-48	413	19	in	in	ADP
ejpam-48	413	20	t	t	PROPN
ejpam-48	413	21	,	,	PUNCT
ejpam-48	413	22	”	"	PUNCT
ejpam-48	413	23	so	so	SCONJ
ejpam-48	413	24	“	"	PUNCT
ejpam-48	413	25	you	you	PRON
ejpam-48	413	26	’d	’d	NOUN
ejpam-48	413	27	think	think	VERB
ejpam-48	413	28	it	it	PRON
ejpam-48	413	29	’d	’d	VERB
ejpam-48	413	30	[	[	X
ejpam-48	413	31	bin	bin	NOUN
ejpam-48	413	32	a	a	X
ejpam-48	413	33	]	]	X
ejpam-48	413	34	be	be	AUX
ejpam-48	413	35	empty	empty	ADJ
ejpam-48	413	36	,	,	PUNCT
ejpam-48	413	37	but	but	CCONJ
ejpam-48	413	38	you	you	PRON
ejpam-48	413	39	’re	’re	AUX
ejpam-48	413	40	still	still	ADV
ejpam-48	413	41	going	go	VERB
ejpam-48	413	42	…	…	PUNCT
ejpam-48	413	43	.i	.i	X
ejpam-48	414	1	just	just	ADV
ejpam-48	414	2	get	get	VERB
ejpam-48	414	3	stuck	stuck	ADJ
ejpam-48	414	4	‘	'	PUNCT
ejpam-48	414	5	cuz	cuz	SCONJ
ejpam-48	414	6	balls	ball	NOUN
ejpam-48	414	7	come	come	VERB
ejpam-48	414	8	down	down	ADP
ejpam-48	414	9	all	all	DET
ejpam-48	414	10	the	the	DET
ejpam-48	414	11	time	time	NOUN
ejpam-48	414	12	.	.	PUNCT
ejpam-48	414	13	”	"	PUNCT
ejpam-48	415	1	although	although	SCONJ
ejpam-48	415	2	she	she	PRON
ejpam-48	415	3	considers	consider	VERB
ejpam-48	415	4	the	the	DET
ejpam-48	415	5	possibility	possibility	NOUN
ejpam-48	415	6	of	of	ADP
ejpam-48	415	7	bin	bin	PROPN
ejpam-48	415	8	a	a	DET
ejpam-48	415	9	being	be	AUX
ejpam-48	415	10	empty	empty	ADJ
ejpam-48	415	11	,	,	PUNCT
ejpam-48	415	12	audrey	audrey	PROPN
ejpam-48	415	13	,	,	PUNCT
ejpam-48	415	14	like	like	ADP
ejpam-48	415	15	the	the	DET
ejpam-48	415	16	thinking	thinking	NOUN
ejpam-48	415	17	theorized	theorize	VERB
ejpam-48	415	18	in	in	ADP
ejpam-48	415	19	[	[	X
ejpam-48	415	20	16	16	NUM
ejpam-48	415	21	]	]	PUNCT
ejpam-48	415	22	,	,	PUNCT
ejpam-48	415	23	sees	see	VERB
ejpam-48	415	24	the	the	DET
ejpam-48	415	25	state	state	NOUN
ejpam-48	415	26	at	at	ADP
ejpam-48	415	27	infinity	infinity	NOUN
ejpam-48	415	28	as	as	SCONJ
ejpam-48	415	29	produced	produce	VERB
ejpam-48	415	30	by	by	ADP
ejpam-48	415	31	the	the	DET
ejpam-48	415	32	process	process	NOUN
ejpam-48	415	33	.	.	PUNCT
ejpam-48	416	1	as	as	ADP
ejpam-48	416	2	a	a	DET
ejpam-48	416	3	result	result	NOUN
ejpam-48	416	4	,	,	PUNCT
ejpam-48	416	5	she	she	PRON
ejpam-48	416	6	retreats	retreat	VERB
ejpam-48	416	7	from	from	ADP
ejpam-48	416	8	that	that	DET
ejpam-48	416	9	possibility	possibility	NOUN
ejpam-48	416	10	.	.	PUNCT
ejpam-48	417	1	at	at	ADP
ejpam-48	417	2	the	the	DET
ejpam-48	417	3	same	same	ADJ
ejpam-48	417	4	time	time	NOUN
ejpam-48	417	5	,	,	PUNCT
ejpam-48	417	6	she	she	PRON
ejpam-48	417	7	sees	see	VERB
ejpam-48	417	8	the	the	DET
ejpam-48	417	9	process	process	NOUN
ejpam-48	417	10	of	of	ADP
ejpam-48	417	11	iterating	iterate	VERB
ejpam-48	417	12	throughnas	throughna	NOUN
ejpam-48	417	13	being	be	AUX
ejpam-48	417	14	mentally	mentally	ADV
ejpam-48	417	15	in	in	ADP
ejpam-48	417	16	motion	motion	NOUN
ejpam-48	417	17	.	.	PUNCT
ejpam-48	418	1	the	the	DET
ejpam-48	418	2	former	former	ADJ
ejpam-48	418	3	and	and	CCONJ
ejpam-48	418	4	latter	latter	ADJ
ejpam-48	418	5	views	view	NOUN
ejpam-48	418	6	work	work	VERB
ejpam-48	418	7	in	in	ADP
ejpam-48	418	8	tandem	tandem	PROPN
ejpam-48	418	9	,	,	PUNCT
ejpam-48	418	10	leading	lead	VERB
ejpam-48	418	11	her	she	PRON
ejpam-48	418	12	to	to	PART
ejpam-48	418	13	conclude	conclude	VERB
ejpam-48	418	14	that	that	SCONJ
ejpam-48	418	15	both	both	DET
ejpam-48	418	16	bins	bin	NOUN
ejpam-48	418	17	contain	contain	VERB
ejpam-48	418	18	an	an	DET
ejpam-48	418	19	equinumerous	equinumerous	ADJ
ejpam-48	418	20	quantity	quantity	NOUN
ejpam-48	418	21	of	of	ADP
ejpam-48	418	22	balls	ball	NOUN
ejpam-48	418	23	.	.	PUNCT
ejpam-48	419	1	because	because	SCONJ
ejpam-48	419	2	the	the	DET
ejpam-48	419	3	stopping	stopping	NOUN
ejpam-48	419	4	point	point	NOUN
ejpam-48	419	5	is	be	AUX
ejpam-48	419	6	unknown	unknown	ADJ
ejpam-48	419	7	,	,	PUNCT
ejpam-48	419	8	the	the	DET
ejpam-48	419	9	exact	exact	ADJ
ejpam-48	419	10	contents	content	NOUN
ejpam-48	419	11	of	of	ADP
ejpam-48	419	12	both	both	DET
ejpam-48	419	13	bins	bin	NOUN
ejpam-48	419	14	can	can	AUX
ejpam-48	419	15	not	not	PART
ejpam-48	419	16	be	be	AUX
ejpam-48	419	17	determined	determine	VERB
ejpam-48	419	18	.	.	PUNCT
ejpam-48	420	1	analysis	analysis	NOUN
ejpam-48	420	2	of	of	ADP
ejpam-48	420	3	the	the	DET
ejpam-48	420	4	interview	interview	NOUN
ejpam-48	420	5	with	with	ADP
ejpam-48	420	6	david	david	PROPN
ejpam-48	420	7	and	and	CCONJ
ejpam-48	420	8	stan	stan	PROPN
ejpam-48	420	9	david	david	PROPN
ejpam-48	420	10	and	and	CCONJ
ejpam-48	420	11	stan	stan	PROPN
ejpam-48	420	12	,	,	PUNCT
ejpam-48	420	13	both	both	PRON
ejpam-48	420	14	of	of	ADP
ejpam-48	420	15	whom	whom	PRON
ejpam-48	420	16	completed	complete	VERB
ejpam-48	420	17	the	the	DET
ejpam-48	420	18	calculus	calculus	NOUN
ejpam-48	420	19	sequence	sequence	NOUN
ejpam-48	420	20	and	and	CCONJ
ejpam-48	420	21	a	a	DET
ejpam-48	420	22	course	course	NOUN
ejpam-48	420	23	in	in	ADP
ejpam-48	420	24	linear	linear	PROPN
ejpam-48	420	25	algebra	algebra	NOUN
ejpam-48	420	26	,	,	PUNCT
ejpam-48	420	27	tried	try	VERB
ejpam-48	420	28	to	to	PART
ejpam-48	420	29	solve	solve	VERB
ejpam-48	420	30	the	the	DET
ejpam-48	420	31	infinite	infinite	ADJ
ejpam-48	420	32	version	version	NOUN
ejpam-48	420	33	of	of	ADP
ejpam-48	420	34	the	the	DET
ejpam-48	420	35	problem	problem	NOUN
ejpam-48	420	36	by	by	ADP
ejpam-48	420	37	extending	extend	VERB
ejpam-48	420	38	their	their	PRON
ejpam-48	420	39	reasoning	reasoning	NOUN
ejpam-48	420	40	about	about	ADP
ejpam-48	420	41	the	the	DET
ejpam-48	420	42	finite	finite	ADJ
ejpam-48	420	43	case	case	NOUN
ejpam-48	420	44	.	.	PUNCT
ejpam-48	421	1	the	the	DET
ejpam-48	421	2	following	follow	VERB
ejpam-48	421	3	exchange	exchange	NOUN
ejpam-48	421	4	,	,	PUNCT
ejpam-48	421	5	which	which	PRON
ejpam-48	421	6	represents	represent	VERB
ejpam-48	421	7	their	their	PRON
ejpam-48	421	8	initial	initial	ADJ
ejpam-48	421	9	thinking	thinking	NOUN
ejpam-48	421	10	,	,	PUNCT
ejpam-48	421	11	exemplifies	exemplify	VERB
ejpam-48	421	12	this	this	PRON
ejpam-48	421	13	:	:	PUNCT
ejpam-48	421	14	david	david	PROPN
ejpam-48	421	15	:	:	PUNCT
ejpam-48	421	16	as	as	SCONJ
ejpam-48	421	17	we	we	PRON
ejpam-48	421	18	approach	approach	VERB
ejpam-48	421	19	12	12	NUM
ejpam-48	421	20	,	,	PUNCT
ejpam-48	421	21	it	it	PRON
ejpam-48	421	22	’s	’s	AUX
ejpam-48	421	23	gon	go	VERB
ejpam-48	421	24	na	to	PART
ejpam-48	421	25	approach	approach	NOUN
ejpam-48	421	26	infinity	infinity	NOUN
ejpam-48	421	27	,	,	PUNCT
ejpam-48	421	28	right	right	ADJ
ejpam-48	421	29	?	?	PUNCT
ejpam-48	422	1	and	and	CCONJ
ejpam-48	422	2	,	,	PUNCT
ejpam-48	422	3	uh	uh	INTJ
ejpam-48	422	4	,	,	PUNCT
ejpam-48	422	5	we	we	PRON
ejpam-48	422	6	’ve	’ve	AUX
ejpam-48	422	7	already	already	ADV
ejpam-48	422	8	established	establish	VERB
ejpam-48	422	9	the	the	DET
ejpam-48	422	10	pattern	pattern	NOUN
ejpam-48	422	11	,	,	PUNCT
ejpam-48	422	12	so	so	SCONJ
ejpam-48	422	13	they	they	PRON
ejpam-48	422	14	’re	’re	AUX
ejpam-48	422	15	both	both	PRON
ejpam-48	422	16	gon	go	VERB
ejpam-48	422	17	na	to	PART
ejpam-48	422	18	contain	contain	VERB
ejpam-48	422	19	half	half	DET
ejpam-48	422	20	the	the	DET
ejpam-48	422	21	balls	ball	NOUN
ejpam-48	422	22	,	,	PUNCT
ejpam-48	422	23	i	i	PRON
ejpam-48	422	24	guess	guess	VERB
ejpam-48	422	25	.	.	PUNCT
ejpam-48	423	1	stan	stan	PROPN
ejpam-48	423	2	:	:	PUNCT
ejpam-48	423	3	and	and	CCONJ
ejpam-48	423	4	there	there	PRON
ejpam-48	423	5	’s	’	VERB
ejpam-48	423	6	the	the	DET
ejpam-48	423	7	same	same	ADJ
ejpam-48	423	8	pattern	pattern	NOUN
ejpam-48	423	9	we	we	PRON
ejpam-48	423	10	just	just	ADV
ejpam-48	423	11	…	…	PUNCT
ejpam-48	423	12	yeah	yeah	INTJ
ejpam-48	423	13	,	,	PUNCT
ejpam-48	423	14	that	that	PRON
ejpam-48	423	15	’s	’	VERB
ejpam-48	423	16	right	right	ADJ
ejpam-48	423	17	.	.	PUNCT
ejpam-48	424	1	uh	uh	INTJ
ejpam-48	424	2	,	,	PUNCT
ejpam-48	424	3	it	it	PRON
ejpam-48	424	4	’s	’	VERB
ejpam-48	424	5	the	the	DET
ejpam-48	424	6	same	same	ADJ
ejpam-48	424	7	pattern	pattern	NOUN
ejpam-48	424	8	we	we	PRON
ejpam-48	424	9	just	just	ADV
ejpam-48	424	10	talked	talk	VERB
ejpam-48	424	11	about	about	ADP
ejpam-48	424	12	.	.	PUNCT
ejpam-48	425	1	i	i	PRON
ejpam-48	425	2	:	:	PUNCT
ejpam-48	425	3	so	so	ADV
ejpam-48	425	4	,	,	PUNCT
ejpam-48	425	5	when	when	SCONJ
ejpam-48	425	6	you	you	PRON
ejpam-48	425	7	say	say	VERB
ejpam-48	425	8	that	that	SCONJ
ejpam-48	425	9	they	they	PRON
ejpam-48	425	10	’re	’re	AUX
ejpam-48	425	11	gon	go	VERB
ejpam-48	425	12	na	to	PART
ejpam-48	425	13	contain	contain	VERB
ejpam-48	425	14	half	half	DET
ejpam-48	425	15	the	the	DET
ejpam-48	425	16	balls	ball	NOUN
ejpam-48	425	17	,	,	PUNCT
ejpam-48	425	18	could	could	AUX
ejpam-48	425	19	you	you	PRON
ejpam-48	425	20	describe	describe	VERB
ejpam-48	425	21	which	which	PRON
ejpam-48	425	22	balls	ball	NOUN
ejpam-48	425	23	are	be	AUX
ejpam-48	425	24	gon	go	VERB
ejpam-48	425	25	na	to	PART
ejpam-48	425	26	be	be	AUX
ejpam-48	425	27	contained	contain	VERB
ejpam-48	425	28	in	in	ADP
ejpam-48	425	29	the	the	DET
ejpam-48	425	30	throw	throw	VERB
ejpam-48	425	31	-	-	PUNCT
ejpam-48	425	32	away	away	NOUN
ejpam-48	425	33	bin	bin	NOUN
ejpam-48	425	34	and	and	CCONJ
ejpam-48	425	35	which	which	PRON
ejpam-48	425	36	balls	ball	NOUN
ejpam-48	425	37	are	be	AUX
ejpam-48	425	38	going	go	VERB
ejpam-48	425	39	to	to	PART
ejpam-48	425	40	be	be	AUX
ejpam-48	425	41	contained	contain	VERB
ejpam-48	425	42	in	in	ADP
ejpam-48	425	43	bin	bin	PROPN
ejpam-48	425	44	a	a	PROPN
ejpam-48	425	45	?	?	PUNCT
ejpam-48	426	1	e.	e.	PROPN
ejpam-48	426	2	dubinsky	dubinsky	PROPN
ejpam-48	426	3	et	et	PROPN
ejpam-48	426	4	al	al	PROPN
ejpam-48	426	5	.	.	PUNCT
ejpam-48	426	6	/	/	SYM
ejpam-48	426	7	eur	eur	PROPN
ejpam-48	426	8	.	.	PUNCT
ejpam-48	427	1	j.	j.	PROPN
ejpam-48	427	2	pure	pure	PROPN
ejpam-48	427	3	.	.	PUNCT
ejpam-48	428	1	appl	appl	PROPN
ejpam-48	428	2	.	.	PUNCT
ejpam-48	428	3	math	math	NOUN
ejpam-48	428	4	.	.	PUNCT
ejpam-48	429	1	1	1	NUM
ejpam-48	429	2	,	,	PUNCT
ejpam-48	429	3	(	(	PUNCT
ejpam-48	429	4	2008	2008	NUM
ejpam-48	429	5	)	)	PUNCT
ejpam-48	430	1	,	,	PUNCT
ejpam-48	430	2	(	(	PUNCT
ejpam-48	430	3	99	99	NUM
ejpam-48	430	4	-	-	SYM
ejpam-48	430	5	121	121	NUM
ejpam-48	430	6	)	)	PUNCT
ejpam-48	430	7	114	114	NUM
ejpam-48	430	8	david	david	PROPN
ejpam-48	430	9	:	:	PUNCT
ejpam-48	431	1	it	it	PRON
ejpam-48	431	2	’s	’	VERB
ejpam-48	431	3	1	1	NUM
ejpam-48	431	4	through	through	ADP
ejpam-48	431	5	n	n	PRON
ejpam-48	431	6	and	and	CCONJ
ejpam-48	431	7	1+n	1+n	NUM
ejpam-48	431	8	through	through	ADP
ejpam-48	431	9	n2	n2	NOUN
ejpam-48	431	10	,	,	PUNCT
ejpam-48	431	11	but	but	CCONJ
ejpam-48	431	12	n	n	PRON
ejpam-48	431	13	is	be	AUX
ejpam-48	431	14	approaching	approach	VERB
ejpam-48	431	15	infinity	infinity	NOUN
ejpam-48	431	16	,	,	PUNCT
ejpam-48	431	17	so	so	ADV
ejpam-48	431	18	,	,	PUNCT
ejpam-48	431	19	um	um	INTJ
ejpam-48	431	20	…	…	PUNCT
ejpam-48	431	21	it	it	PRON
ejpam-48	431	22	’s	’	VERB
ejpam-48	431	23	,	,	PUNCT
ejpam-48	431	24	the	the	DET
ejpam-48	431	25	lower	low	ADJ
ejpam-48	431	26	half	half	NOUN
ejpam-48	431	27	will	will	AUX
ejpam-48	431	28	be	be	AUX
ejpam-48	431	29	in	in	ADP
ejpam-48	431	30	one	one	NUM
ejpam-48	431	31	bin	bin	NOUN
ejpam-48	431	32	and	and	CCONJ
ejpam-48	431	33	the	the	DET
ejpam-48	431	34	higher	high	ADJ
ejpam-48	431	35	half	half	NOUN
ejpam-48	431	36	will	will	AUX
ejpam-48	431	37	be	be	AUX
ejpam-48	431	38	in	in	ADP
ejpam-48	431	39	the	the	DET
ejpam-48	431	40	other	other	ADJ
ejpam-48	431	41	,	,	PUNCT
ejpam-48	431	42	but	but	CCONJ
ejpam-48	431	43	since	since	SCONJ
ejpam-48	431	44	there	there	PRON
ejpam-48	431	45	’s	’	VERB
ejpam-48	431	46	not	not	PART
ejpam-48	431	47	a	a	DET
ejpam-48	431	48	limit	limit	NOUN
ejpam-48	431	49	on	on	ADP
ejpam-48	431	50	the	the	DET
ejpam-48	431	51	number	number	NOUN
ejpam-48	431	52	of	of	ADP
ejpam-48	431	53	balls	ball	NOUN
ejpam-48	431	54	,	,	PUNCT
ejpam-48	431	55	that	that	PRON
ejpam-48	431	56	does	do	AUX
ejpam-48	431	57	n’t	not	PART
ejpam-48	431	58	really	really	ADV
ejpam-48	431	59	name	name	VERB
ejpam-48	431	60	anything	anything	PRON
ejpam-48	431	61	.	.	PUNCT
ejpam-48	432	1	stan	stan	PROPN
ejpam-48	432	2	:	:	PUNCT
ejpam-48	433	1	right	right	INTJ
ejpam-48	433	2	.	.	PUNCT
ejpam-48	434	1	i	i	PRON
ejpam-48	434	2	:	:	PUNCT
ejpam-48	434	3	ok	ok	INTJ
ejpam-48	434	4	.	.	PUNCT
ejpam-48	435	1	so	so	ADV
ejpam-48	435	2	what	what	PRON
ejpam-48	435	3	’s	’	VERB
ejpam-48	435	4	the	the	DET
ejpam-48	435	5	lower	low	ADJ
ejpam-48	435	6	half	half	NOUN
ejpam-48	435	7	and	and	CCONJ
ejpam-48	435	8	what	what	PRON
ejpam-48	435	9	’s	’	VERB
ejpam-48	435	10	the	the	DET
ejpam-48	435	11	upper	upper	ADJ
ejpam-48	435	12	half	half	NOUN
ejpam-48	435	13	?	?	PUNCT
ejpam-48	436	1	stan	stan	PROPN
ejpam-48	436	2	:	:	PUNCT
ejpam-48	437	1	yeah	yeah	INTJ
ejpam-48	437	2	.	.	PUNCT
ejpam-48	438	1	that	that	PRON
ejpam-48	438	2	’s	’	VERB
ejpam-48	438	3	the	the	DET
ejpam-48	438	4	problem	problem	NOUN
ejpam-48	438	5	.	.	PUNCT
ejpam-48	439	1	you	you	PRON
ejpam-48	439	2	ca	can	AUX
ejpam-48	439	3	n’t	not	PART
ejpam-48	439	4	really	really	ADV
ejpam-48	439	5	define	define	VERB
ejpam-48	439	6	…	…	PUNCT
ejpam-48	439	7	you	you	PRON
ejpam-48	439	8	ca	can	AUX
ejpam-48	439	9	n’t	not	PART
ejpam-48	439	10	tell	tell	VERB
ejpam-48	439	11	exactly	exactly	ADV
ejpam-48	439	12	what	what	PRON
ejpam-48	439	13	the	the	DET
ejpam-48	439	14	numbers	number	NOUN
ejpam-48	439	15	will	will	AUX
ejpam-48	439	16	be	be	AUX
ejpam-48	439	17	.	.	PUNCT
ejpam-48	440	1	we	we	PRON
ejpam-48	440	2	just	just	ADV
ejpam-48	440	3	know	know	VERB
ejpam-48	440	4	that	that	SCONJ
ejpam-48	440	5	once	once	SCONJ
ejpam-48	440	6	you	you	PRON
ejpam-48	440	7	get	get	AUX
ejpam-48	440	8	done	do	VERB
ejpam-48	440	9	,	,	PUNCT
ejpam-48	440	10	the	the	DET
ejpam-48	440	11	lower	low	ADJ
ejpam-48	440	12	half	half	NOUN
ejpam-48	440	13	will	will	AUX
ejpam-48	440	14	be	be	AUX
ejpam-48	440	15	over	over	ADV
ejpam-48	440	16	here	here	ADV
ejpam-48	440	17	and	and	CCONJ
ejpam-48	440	18	the	the	DET
ejpam-48	440	19	upper	upper	ADJ
ejpam-48	440	20	half	half	NOUN
ejpam-48	440	21	will	will	AUX
ejpam-48	440	22	be	be	AUX
ejpam-48	440	23	over	over	ADV
ejpam-48	440	24	there	there	ADV
ejpam-48	440	25	.	.	PUNCT
ejpam-48	441	1	the	the	DET
ejpam-48	441	2	interviewer	interviewer	NOUN
ejpam-48	441	3	redirects	redirect	VERB
ejpam-48	441	4	their	their	PRON
ejpam-48	441	5	thinking	thinking	NOUN
ejpam-48	441	6	and	and	CCONJ
ejpam-48	441	7	asks	ask	VERB
ejpam-48	441	8	whether	whether	SCONJ
ejpam-48	441	9	they	they	PRON
ejpam-48	441	10	can	can	AUX
ejpam-48	441	11	name	name	VERB
ejpam-48	441	12	a	a	DET
ejpam-48	441	13	natural	natural	ADJ
ejpam-48	441	14	number	number	NOUN
ejpam-48	441	15	that	that	PRON
ejpam-48	441	16	does	do	AUX
ejpam-48	441	17	not	not	PART
ejpam-48	441	18	end	end	VERB
ejpam-48	441	19	up	up	ADP
ejpam-48	441	20	in	in	ADP
ejpam-48	441	21	bin	bin	PROPN
ejpam-48	441	22	t	t	PROPN
ejpam-48	441	23	:	:	PUNCT
ejpam-48	441	24	i	i	PRON
ejpam-48	441	25	:	:	PUNCT
ejpam-48	441	26	if	if	SCONJ
ejpam-48	441	27	i	i	PRON
ejpam-48	441	28	give	give	VERB
ejpam-48	441	29	you	you	PRON
ejpam-48	441	30	any	any	DET
ejpam-48	441	31	natural	natural	ADJ
ejpam-48	441	32	number	number	NOUN
ejpam-48	441	33	that	that	PRON
ejpam-48	441	34	would	would	AUX
ejpam-48	441	35	come	come	VERB
ejpam-48	441	36	from	from	ADP
ejpam-48	441	37	the	the	DET
ejpam-48	441	38	dispense	dispense	NOUN
ejpam-48	441	39	bin	bin	NOUN
ejpam-48	441	40	,	,	PUNCT
ejpam-48	441	41	will	will	AUX
ejpam-48	441	42	it	it	PRON
ejpam-48	441	43	ever	ever	ADV
ejpam-48	441	44	end	end	VERB
ejpam-48	441	45	up	up	ADP
ejpam-48	441	46	in	in	ADP
ejpam-48	441	47	the	the	DET
ejpam-48	441	48	throw	throw	NOUN
ejpam-48	441	49	away	away	ADV
ejpam-48	441	50	bin	bin	PROPN
ejpam-48	441	51	?	?	PUNCT
ejpam-48	442	1	stan	stan	PROPN
ejpam-48	442	2	:	:	PUNCT
ejpam-48	442	3	eventually	eventually	ADV
ejpam-48	442	4	,	,	PUNCT
ejpam-48	442	5	yeah	yeah	INTJ
ejpam-48	442	6	.	.	PUNCT
ejpam-48	443	1	if	if	SCONJ
ejpam-48	443	2	you	you	PRON
ejpam-48	443	3	push	push	VERB
ejpam-48	443	4	,	,	PUNCT
ejpam-48	443	5	i	i	PRON
ejpam-48	443	6	mean	mean	VERB
ejpam-48	443	7	theoretically	theoretically	ADV
ejpam-48	443	8	speaking	speak	VERB
ejpam-48	443	9	,	,	PUNCT
ejpam-48	443	10	assuming	assume	VERB
ejpam-48	443	11	you	you	PRON
ejpam-48	443	12	have	have	VERB
ejpam-48	443	13	infinite	infinite	ADJ
ejpam-48	443	14	balls	ball	NOUN
ejpam-48	443	15	inside	inside	ADP
ejpam-48	443	16	the	the	DET
ejpam-48	443	17	bin	bin	NOUN
ejpam-48	443	18	.	.	PUNCT
ejpam-48	444	1	any	any	DET
ejpam-48	444	2	number	number	NOUN
ejpam-48	444	3	that	that	PRON
ejpam-48	444	4	comes	come	VERB
ejpam-48	444	5	out	out	ADP
ejpam-48	444	6	,	,	PUNCT
ejpam-48	444	7	so	so	ADV
ejpam-48	444	8	long	long	ADV
ejpam-48	444	9	as	as	SCONJ
ejpam-48	444	10	you	you	PRON
ejpam-48	444	11	push	push	VERB
ejpam-48	444	12	it	it	PRON
ejpam-48	444	13	enough	enough	ADJ
ejpam-48	444	14	times	time	NOUN
ejpam-48	444	15	,	,	PUNCT
ejpam-48	444	16	eventually	eventually	ADV
ejpam-48	444	17	it	it	PRON
ejpam-48	444	18	will	will	AUX
ejpam-48	444	19	end	end	VERB
ejpam-48	444	20	up	up	ADP
ejpam-48	444	21	in	in	ADP
ejpam-48	444	22	the	the	DET
ejpam-48	444	23	throw	throw	NOUN
ejpam-48	444	24	away	away	ADV
ejpam-48	444	25	bin	bin	PROPN
ejpam-48	444	26	.	.	PUNCT
ejpam-48	445	1	i	i	PRON
ejpam-48	445	2	:	:	PUNCT
ejpam-48	446	1	okay	okay	INTJ
ejpam-48	446	2	.	.	PUNCT
ejpam-48	447	1	stan	stan	PROPN
ejpam-48	447	2	:	:	PUNCT
ejpam-48	448	1	so	so	ADV
ejpam-48	448	2	actually	actually	ADV
ejpam-48	448	3	it	it	PRON
ejpam-48	448	4	goes	go	VERB
ejpam-48	448	5	whatever	whatever	DET
ejpam-48	448	6	number	number	NOUN
ejpam-48	448	7	comes	come	VERB
ejpam-48	448	8	out	out	ADP
ejpam-48	448	9	if	if	SCONJ
ejpam-48	448	10	you	you	PRON
ejpam-48	448	11	end	end	VERB
ejpam-48	448	12	up	up	ADP
ejpam-48	448	13	pushingntimes	pushingntime	NOUN
ejpam-48	448	14	whatever	whatever	PRON
ejpam-48	448	15	that	that	DET
ejpam-48	448	16	number	number	NOUN
ejpam-48	448	17	is	be	AUX
ejpam-48	448	18	,	,	PUNCT
ejpam-48	448	19	if	if	SCONJ
ejpam-48	448	20	that	that	DET
ejpam-48	448	21	number	number	NOUN
ejpam-48	448	22	becomesnthen	becomesnthen	ADV
ejpam-48	448	23	it	it	PRON
ejpam-48	448	24	’s	’	VERB
ejpam-48	448	25	in	in	ADP
ejpam-48	448	26	the	the	DET
ejpam-48	448	27	throw	throw	NOUN
ejpam-48	448	28	away	away	ADV
ejpam-48	448	29	.	.	PUNCT
ejpam-48	449	1	i	i	PRON
ejpam-48	449	2	:	:	PUNCT
ejpam-48	449	3	okay	okay	INTJ
ejpam-48	449	4	,	,	PUNCT
ejpam-48	449	5	what	what	PRON
ejpam-48	449	6	do	do	AUX
ejpam-48	449	7	you	you	PRON
ejpam-48	449	8	mean	mean	VERB
ejpam-48	449	9	by	by	ADP
ejpam-48	449	10	if	if	SCONJ
ejpam-48	449	11	it	it	PRON
ejpam-48	449	12	becomesn	becomesn	PROPN
ejpam-48	449	13	?	?	PUNCT
ejpam-48	450	1	stan	stan	PROPN
ejpam-48	450	2	:	:	PUNCT
ejpam-48	451	1	so	so	ADV
ejpam-48	451	2	say	say	VERB
ejpam-48	451	3	you	you	PRON
ejpam-48	451	4	have	have	VERB
ejpam-48	451	5	400	400	NUM
ejpam-48	451	6	trillion	trillion	NUM
ejpam-48	451	7	on	on	ADP
ejpam-48	451	8	the	the	DET
ejpam-48	451	9	ball	ball	NOUN
ejpam-48	451	10	,	,	PUNCT
ejpam-48	451	11	if	if	SCONJ
ejpam-48	451	12	you	you	PRON
ejpam-48	451	13	reach	reach	VERB
ejpam-48	451	14	the	the	DET
ejpam-48	451	15	400	400	NUM
ejpam-48	451	16	trillionth	trillionth	NOUN
ejpam-48	451	17	push	push	NOUN
ejpam-48	451	18	of	of	ADP
ejpam-48	451	19	the	the	DET
ejpam-48	451	20	button	button	NOUN
ejpam-48	451	21	,	,	PUNCT
ejpam-48	451	22	it	it	PRON
ejpam-48	451	23	will	will	AUX
ejpam-48	451	24	end	end	VERB
ejpam-48	451	25	up	up	ADP
ejpam-48	451	26	in	in	ADP
ejpam-48	451	27	the	the	DET
ejpam-48	451	28	throw	throw	NOUN
ejpam-48	451	29	away	away	ADV
ejpam-48	451	30	bin	bin	PROPN
ejpam-48	451	31	.	.	PUNCT
ejpam-48	452	1	i	i	PRON
ejpam-48	452	2	:	:	PUNCT
ejpam-48	452	3	it	it	PRON
ejpam-48	452	4	will	will	AUX
ejpam-48	452	5	end	end	VERB
ejpam-48	452	6	up	up	ADP
ejpam-48	452	7	in	in	ADP
ejpam-48	452	8	the	the	DET
ejpam-48	452	9	throw	throw	NOUN
ejpam-48	452	10	away	away	ADV
ejpam-48	452	11	bin	bin	PROPN
ejpam-48	452	12	.	.	PUNCT
ejpam-48	453	1	we	we	PRON
ejpam-48	453	2	’re	’re	AUX
ejpam-48	453	3	doing	do	VERB
ejpam-48	453	4	this	this	PRON
ejpam-48	453	5	infinitely	infinitely	ADV
ejpam-48	453	6	many	many	ADJ
ejpam-48	453	7	times	time	NOUN
ejpam-48	453	8	.	.	PUNCT
ejpam-48	454	1	does	do	AUX
ejpam-48	454	2	that	that	PRON
ejpam-48	454	3	happen	happen	VERB
ejpam-48	454	4	for	for	ADP
ejpam-48	454	5	then	then	ADV
ejpam-48	454	6	for	for	ADP
ejpam-48	454	7	every	every	DET
ejpam-48	454	8	single	single	ADJ
ejpam-48	454	9	,	,	PUNCT
ejpam-48	454	10	i	i	PRON
ejpam-48	454	11	mean	mean	VERB
ejpam-48	454	12	can	can	AUX
ejpam-48	454	13	you	you	PRON
ejpam-48	454	14	name	name	VERB
ejpam-48	454	15	a	a	DET
ejpam-48	454	16	natural	natural	ADJ
ejpam-48	454	17	number	number	NOUN
ejpam-48	454	18	for	for	ADP
ejpam-48	454	19	which	which	PRON
ejpam-48	454	20	that	that	PRON
ejpam-48	454	21	does	do	AUX
ejpam-48	454	22	n’t	not	PART
ejpam-48	454	23	happen	happen	VERB
ejpam-48	454	24	?	?	PUNCT
ejpam-48	455	1	david	david	PROPN
ejpam-48	455	2	and	and	CCONJ
ejpam-48	455	3	stan	stan	PROPN
ejpam-48	455	4	:	:	PUNCT
ejpam-48	456	1	no	no	INTJ
ejpam-48	456	2	.	.	PUNCT
ejpam-48	457	1	a	a	DET
ejpam-48	457	2	few	few	ADJ
ejpam-48	457	3	moments	moment	NOUN
ejpam-48	457	4	later	later	ADV
ejpam-48	457	5	stan	stan	PROPN
ejpam-48	457	6	suggests	suggest	VERB
ejpam-48	457	7	that	that	SCONJ
ejpam-48	457	8	bin	bin	PROPN
ejpam-48	457	9	t	t	PROPN
ejpam-48	457	10	will	will	AUX
ejpam-48	457	11	eventually	eventually	ADV
ejpam-48	457	12	contain	contain	VERB
ejpam-48	457	13	all	all	PRON
ejpam-48	457	14	of	of	ADP
ejpam-48	457	15	the	the	DET
ejpam-48	457	16	natural	natural	ADJ
ejpam-48	457	17	numbers	number	NOUN
ejpam-48	457	18	.	.	PUNCT
ejpam-48	458	1	however	however	ADV
ejpam-48	458	2	,	,	PUNCT
ejpam-48	458	3	david	david	PROPN
ejpam-48	458	4	rejects	reject	VERB
ejpam-48	458	5	this	this	PRON
ejpam-48	458	6	,	,	PUNCT
ejpam-48	458	7	because	because	SCONJ
ejpam-48	458	8	“	"	PUNCT
ejpam-48	458	9	both	both	DET
ejpam-48	458	10	bins	bin	NOUN
ejpam-48	458	11	are	be	AUX
ejpam-48	458	12	filled	fill	VERB
ejpam-48	458	13	at	at	ADP
ejpam-48	458	14	an	an	DET
ejpam-48	458	15	equal	equal	ADJ
ejpam-48	458	16	rate	rate	NOUN
ejpam-48	458	17	,	,	PUNCT
ejpam-48	458	18	”	"	PUNCT
ejpam-48	458	19	and	and	CCONJ
ejpam-48	458	20	stan	stan	PROPN
ejpam-48	458	21	concurs	concur	VERB
ejpam-48	458	22	.	.	PUNCT
ejpam-48	459	1	in	in	ADP
ejpam-48	459	2	some	some	DET
ejpam-48	459	3	respects	respect	NOUN
ejpam-48	459	4	,	,	PUNCT
ejpam-48	459	5	their	their	PRON
ejpam-48	459	6	thinking	thinking	NOUN
ejpam-48	459	7	parallels	parallel	VERB
ejpam-48	459	8	audrey	audrey	PROPN
ejpam-48	459	9	’s	’s	PART
ejpam-48	459	10	;	;	PUNCT
ejpam-48	459	11	she	she	PRON
ejpam-48	459	12	too	too	ADV
ejpam-48	459	13	considered	consider	VERB
ejpam-48	459	14	the	the	DET
ejpam-48	459	15	possibility	possibility	NOUN
ejpam-48	459	16	that	that	SCONJ
ejpam-48	459	17	bin	bin	PROPN
ejpam-48	459	18	t	t	PROPN
ejpam-48	459	19	will	will	AUX
ejpam-48	459	20	contain	contain	VERB
ejpam-48	459	21	n	n	ADV
ejpam-48	459	22	but	but	CCONJ
ejpam-48	459	23	then	then	ADV
ejpam-48	459	24	retreated	retreat	VERB
ejpam-48	459	25	.	.	PUNCT
ejpam-48	460	1	at	at	ADP
ejpam-48	460	2	this	this	DET
ejpam-48	460	3	point	point	NOUN
ejpam-48	460	4	,	,	PUNCT
ejpam-48	460	5	the	the	DET
ejpam-48	460	6	similarity	similarity	NOUN
ejpam-48	460	7	ends	end	VERB
ejpam-48	460	8	.	.	PUNCT
ejpam-48	461	1	audrey	audrey	PROPN
ejpam-48	461	2	’s	’s	PART
ejpam-48	461	3	difficulty	difficulty	NOUN
ejpam-48	461	4	lay	lie	VERB
ejpam-48	461	5	in	in	ADP
ejpam-48	461	6	her	her	PRON
ejpam-48	461	7	conception	conception	NOUN
ejpam-48	461	8	of	of	ADP
ejpam-48	461	9	the	the	DET
ejpam-48	461	10	state	state	NOUN
ejpam-48	461	11	at	at	ADP
ejpam-48	461	12	infinity	infinity	NOUN
ejpam-48	461	13	as	as	ADP
ejpam-48	461	14	being	be	AUX
ejpam-48	461	15	part	part	NOUN
ejpam-48	461	16	of	of	ADP
ejpam-48	461	17	the	the	DET
ejpam-48	461	18	process	process	NOUN
ejpam-48	461	19	and	and	CCONJ
ejpam-48	461	20	her	her	PRON
ejpam-48	461	21	view	view	NOUN
ejpam-48	461	22	of	of	ADP
ejpam-48	461	23	iteration	iteration	NOUN
ejpam-48	461	24	throughn	throughn	NOUN
ejpam-48	461	25	as	as	ADP
ejpam-48	461	26	incomplete	incomplete	ADJ
ejpam-48	461	27	.	.	PUNCT
ejpam-48	462	1	david	david	PROPN
ejpam-48	462	2	and	and	CCONJ
ejpam-48	462	3	stan	stan	PROPN
ejpam-48	462	4	,	,	PUNCT
ejpam-48	462	5	on	on	ADP
ejpam-48	462	6	the	the	DET
ejpam-48	462	7	other	other	ADJ
ejpam-48	462	8	hand	hand	NOUN
ejpam-48	462	9	,	,	PUNCT
ejpam-48	462	10	want	want	VERB
ejpam-48	462	11	to	to	PART
ejpam-48	462	12	apply	apply	VERB
ejpam-48	462	13	a	a	DET
ejpam-48	462	14	limit	limit	NOUN
ejpam-48	462	15	,	,	PUNCT
ejpam-48	462	16	as	as	ADP
ejpam-48	462	17	∞→n	∞→n	PROPN
ejpam-48	462	18	,	,	PUNCT
ejpam-48	462	19	to	to	ADP
ejpam-48	462	20	the	the	DET
ejpam-48	462	21	formula	formula	NOUN
ejpam-48	462	22	they	they	PRON
ejpam-48	462	23	generated	generate	VERB
ejpam-48	462	24	from	from	ADP
ejpam-48	462	25	the	the	DET
ejpam-48	462	26	finite	finite	ADJ
ejpam-48	462	27	case	case	NOUN
ejpam-48	462	28	(	(	PUNCT
ejpam-48	462	29	afternsteps	afternstep	NOUN
ejpam-48	462	30	,	,	PUNCT
ejpam-48	462	31	bin	bin	PROPN
ejpam-48	462	32	t	t	PROPN
ejpam-48	462	33	contains	contain	VERB
ejpam-48	462	34	balls	ball	NOUN
ejpam-48	462	35	numbered	number	VERB
ejpam-48	462	36	1	1	NUM
ejpam-48	462	37	through	through	ADP
ejpam-48	462	38	n	n	CCONJ
ejpam-48	462	39	,	,	PUNCT
ejpam-48	462	40	and	and	CCONJ
ejpam-48	462	41	bin	bin	NOUN
ejpam-48	462	42	a	a	PRON
ejpam-48	462	43	contains	contain	VERB
ejpam-48	462	44	balls	ball	NOUN
ejpam-48	462	45	numbered	number	VERB
ejpam-48	462	46	1+n	1+n	NUM
ejpam-48	462	47	through	through	ADP
ejpam-48	462	48	n2	n2	ADJ
ejpam-48	462	49	)	)	PUNCT
ejpam-48	462	50	,	,	PUNCT
ejpam-48	462	51	but	but	CCONJ
ejpam-48	462	52	they	they	PRON
ejpam-48	462	53	realize	realize	VERB
ejpam-48	462	54	that	that	SCONJ
ejpam-48	462	55	∞	∞	PROPN
ejpam-48	462	56	can	can	AUX
ejpam-48	462	57	not	not	PART
ejpam-48	462	58	be	be	AUX
ejpam-48	462	59	used	use	VERB
ejpam-48	462	60	in	in	ADP
ejpam-48	462	61	calculations	calculation	NOUN
ejpam-48	462	62	:	:	PUNCT
ejpam-48	462	63	stan	stan	PROPN
ejpam-48	462	64	:	:	PUNCT
ejpam-48	462	65	so	so	ADV
ejpam-48	462	66	since	since	SCONJ
ejpam-48	462	67	infinity	infinity	NOUN
ejpam-48	462	68	’s	’	VERB
ejpam-48	462	69	not	not	PART
ejpam-48	462	70	an	an	DET
ejpam-48	462	71	actual	actual	ADJ
ejpam-48	462	72	number	number	NOUN
ejpam-48	462	73	,	,	PUNCT
ejpam-48	462	74	you	you	PRON
ejpam-48	462	75	ca	can	AUX
ejpam-48	462	76	n’t	not	PART
ejpam-48	462	77	do	do	VERB
ejpam-48	462	78	actual	actual	ADJ
ejpam-48	462	79	math	math	NOUN
ejpam-48	462	80	on	on	ADP
ejpam-48	462	81	it	it	PRON
ejpam-48	462	82	.	.	PUNCT
ejpam-48	463	1	you	you	PRON
ejpam-48	463	2	ca	can	AUX
ejpam-48	463	3	n’t	not	PART
ejpam-48	463	4	add	add	VERB
ejpam-48	463	5	infinity	infinity	NOUN
ejpam-48	463	6	,	,	PUNCT
ejpam-48	463	7	you	you	PRON
ejpam-48	463	8	ca	can	AUX
ejpam-48	463	9	n’t	not	PART
ejpam-48	463	10	subtract	subtract	VERB
ejpam-48	463	11	infinity	infinity	NOUN
ejpam-48	463	12	and	and	CCONJ
ejpam-48	463	13	what	what	PRON
ejpam-48	463	14	not	not	PART
ejpam-48	463	15	.	.	PUNCT
ejpam-48	464	1	i	i	PRON
ejpam-48	464	2	:	:	PUNCT
ejpam-48	465	1	okay	okay	INTJ
ejpam-48	465	2	so	so	ADV
ejpam-48	465	3	that	that	PRON
ejpam-48	465	4	leaves	leave	VERB
ejpam-48	465	5	us	we	PRON
ejpam-48	465	6	in	in	ADP
ejpam-48	465	7	kind	kind	NOUN
ejpam-48	465	8	of	of	ADV
ejpam-48	465	9	a	a	DET
ejpam-48	465	10	conundrum	conundrum	NOUN
ejpam-48	465	11	then	then	ADV
ejpam-48	465	12	?	?	PUNCT
ejpam-48	466	1	stan	stan	PROPN
ejpam-48	466	2	:	:	PUNCT
ejpam-48	467	1	right	right	INTJ
ejpam-48	467	2	,	,	PUNCT
ejpam-48	467	3	if	if	SCONJ
ejpam-48	467	4	you	you	PRON
ejpam-48	467	5	want	want	VERB
ejpam-48	467	6	us	we	PRON
ejpam-48	467	7	to	to	PART
ejpam-48	467	8	tell	tell	VERB
ejpam-48	467	9	you	you	PRON
ejpam-48	467	10	specifically	specifically	ADV
ejpam-48	467	11	after	after	ADP
ejpam-48	467	12	infinite	infinite	ADJ
ejpam-48	467	13	pushes	push	NOUN
ejpam-48	467	14	how	how	SCONJ
ejpam-48	467	15	many	many	ADJ
ejpam-48	467	16	is	be	AUX
ejpam-48	467	17	gon	go	VERB
ejpam-48	467	18	na	to	PART
ejpam-48	467	19	be	be	AUX
ejpam-48	467	20	in	in	ADP
ejpam-48	467	21	there	there	ADV
ejpam-48	467	22	we	we	PRON
ejpam-48	467	23	ca	can	AUX
ejpam-48	467	24	n’t	not	PART
ejpam-48	467	25	tell	tell	VERB
ejpam-48	467	26	you	you	PRON
ejpam-48	467	27	the	the	DET
ejpam-48	467	28	actual	actual	ADJ
ejpam-48	467	29	finite	finite	NOUN
ejpam-48	467	30	amounts	amount	NOUN
ejpam-48	467	31	.	.	PUNCT
ejpam-48	468	1	i	i	PRON
ejpam-48	468	2	mean	mean	VERB
ejpam-48	468	3	that	that	PRON
ejpam-48	468	4	’s	’	VERB
ejpam-48	468	5	i	i	PRON
ejpam-48	468	6	guess	guess	VERB
ejpam-48	468	7	what	what	PRON
ejpam-48	468	8	our	our	PRON
ejpam-48	468	9	equation	equation	NOUN
ejpam-48	468	10	with	with	ADP
ejpam-48	468	11	the	the	DET
ejpam-48	468	12	n	n	NOUN
ejpam-48	468	13	’s	’s	NOUN
ejpam-48	468	14	is	be	AUX
ejpam-48	468	15	for	for	ADP
ejpam-48	468	16	so	so	SCONJ
ejpam-48	468	17	that	that	SCONJ
ejpam-48	468	18	you	you	PRON
ejpam-48	468	19	can	can	AUX
ejpam-48	468	20	plug	plug	VERB
ejpam-48	468	21	in	in	ADP
ejpam-48	468	22	whatever	whatever	PRON
ejpam-48	468	23	you	you	PRON
ejpam-48	468	24	want	want	VERB
ejpam-48	468	25	but	but	CCONJ
ejpam-48	468	26	…	…	PUNCT
ejpam-48	469	1	e.	e.	PROPN
ejpam-48	469	2	dubinsky	dubinsky	PROPN
ejpam-48	469	3	et	et	PROPN
ejpam-48	469	4	al	al	PROPN
ejpam-48	469	5	.	.	PUNCT
ejpam-48	469	6	/	/	SYM
ejpam-48	469	7	eur	eur	PROPN
ejpam-48	469	8	.	.	PUNCT
ejpam-48	470	1	j.	j.	PROPN
ejpam-48	470	2	pure	pure	PROPN
ejpam-48	470	3	.	.	PUNCT
ejpam-48	471	1	appl	appl	PROPN
ejpam-48	471	2	.	.	PUNCT
ejpam-48	471	3	math	math	NOUN
ejpam-48	471	4	.	.	PUNCT
ejpam-48	472	1	1	1	NUM
ejpam-48	472	2	,	,	PUNCT
ejpam-48	472	3	(	(	PUNCT
ejpam-48	472	4	2008	2008	NUM
ejpam-48	472	5	)	)	PUNCT
ejpam-48	472	6	,	,	PUNCT
ejpam-48	472	7	(	(	PUNCT
ejpam-48	472	8	99	99	NUM
ejpam-48	472	9	-	-	SYM
ejpam-48	472	10	121	121	NUM
ejpam-48	472	11	)	)	PUNCT
ejpam-48	472	12	115	115	NUM
ejpam-48	472	13			PROPN
ejpam-48	472	14	david	david	PROPN
ejpam-48	472	15	:	:	PUNCT
ejpam-48	472	16	like	like	SCONJ
ejpam-48	472	17	if	if	SCONJ
ejpam-48	472	18	we	we	PRON
ejpam-48	472	19	’re	’re	AUX
ejpam-48	472	20	going	go	VERB
ejpam-48	472	21	infinitely	infinitely	ADV
ejpam-48	472	22	we	we	PRON
ejpam-48	472	23	can’t	can’t	NUM
ejpam-48	472	24	…	…	PUNCT
ejpam-48	472	25	well	well	ADV
ejpam-48	472	26	see	see	VERB
ejpam-48	472	27	,	,	PUNCT
ejpam-48	472	28	yeah	yeah	INTJ
ejpam-48	472	29	,	,	PUNCT
ejpam-48	472	30	we	we	PRON
ejpam-48	472	31	rely	rely	VERB
ejpam-48	472	32	on	on	ADP
ejpam-48	472	33	our	our	PRON
ejpam-48	472	34	definition	definition	NOUN
ejpam-48	472	35	of	of	ADP
ejpam-48	472	36	n	n	PROPN
ejpam-48	472	37	and	and	CCONJ
ejpam-48	472	38	if	if	SCONJ
ejpam-48	472	39	ndoesn’t	ndoesn’t	VERB
ejpam-48	472	40	have	have	VERB
ejpam-48	472	41	a	a	DET
ejpam-48	472	42	definition	definition	NOUN
ejpam-48	472	43	,	,	PUNCT
ejpam-48	472	44	if	if	SCONJ
ejpam-48	472	45	it	it	PRON
ejpam-48	472	46	just	just	ADV
ejpam-48	472	47	keeps	keep	VERB
ejpam-48	472	48	going	go	VERB
ejpam-48	472	49	higher	high	ADJ
ejpam-48	472	50	,	,	PUNCT
ejpam-48	472	51	then	then	ADV
ejpam-48	472	52	we	we	PRON
ejpam-48	472	53	ca	can	AUX
ejpam-48	472	54	n’t	not	PART
ejpam-48	472	55	use	use	VERB
ejpam-48	472	56	our	our	PRON
ejpam-48	472	57	little	little	ADJ
ejpam-48	472	58	formula	formula	NOUN
ejpam-48	472	59	diagram	diagram	NOUN
ejpam-48	472	60	thing	thing	NOUN
ejpam-48	472	61	to	to	PART
ejpam-48	472	62	define	define	VERB
ejpam-48	472	63	it	it	PRON
ejpam-48	472	64	.	.	PUNCT
ejpam-48	473	1	they	they	PRON
ejpam-48	473	2	want	want	VERB
ejpam-48	473	3	to	to	PART
ejpam-48	473	4	take	take	VERB
ejpam-48	473	5	the	the	DET
ejpam-48	473	6	infinite	infinite	ADJ
ejpam-48	473	7	limit	limit	NOUN
ejpam-48	473	8	of	of	ADP
ejpam-48	473	9	the	the	DET
ejpam-48	473	10	expression	expression	NOUN
ejpam-48	473	11	generated	generate	VERB
ejpam-48	473	12	after	after	ADP
ejpam-48	473	13	an	an	DET
ejpam-48	473	14	arbitrary	arbitrary	ADJ
ejpam-48	473	15	number	number	NOUN
ejpam-48	473	16	of	of	ADP
ejpam-48	473	17	finite	finite	ADJ
ejpam-48	473	18	steps	step	NOUN
ejpam-48	473	19	;	;	PUNCT
ejpam-48	473	20	they	they	PRON
ejpam-48	473	21	realize	realize	VERB
ejpam-48	473	22	this	this	PRON
ejpam-48	473	23	is	be	AUX
ejpam-48	473	24	impossible	impossible	ADJ
ejpam-48	473	25	.	.	PUNCT
ejpam-48	474	1	at	at	ADP
ejpam-48	474	2	the	the	DET
ejpam-48	474	3	same	same	ADJ
ejpam-48	474	4	time	time	NOUN
ejpam-48	474	5	,	,	PUNCT
ejpam-48	474	6	they	they	PRON
ejpam-48	474	7	have	have	VERB
ejpam-48	474	8	no	no	DET
ejpam-48	474	9	alternative	alternative	NOUN
ejpam-48	474	10	.	.	PUNCT
ejpam-48	475	1	the	the	DET
ejpam-48	475	2	problem	problem	NOUN
ejpam-48	475	3	appears	appear	VERB
ejpam-48	475	4	unsolvable	unsolvable	ADJ
ejpam-48	475	5	:	:	PUNCT
ejpam-48	475	6	stan	stan	PROPN
ejpam-48	475	7	:	:	PUNCT
ejpam-48	475	8	well	well	INTJ
ejpam-48	475	9	,	,	PUNCT
ejpam-48	475	10	withnwe’re	withnwe’re	ADP
ejpam-48	475	11	assuming	assume	VERB
ejpam-48	475	12	it	it	PRON
ejpam-48	475	13	’s	’s	AUX
ejpam-48	475	14	going	go	VERB
ejpam-48	475	15	to	to	PART
ejpam-48	475	16	be	be	AUX
ejpam-48	475	17	some	some	DET
ejpam-48	475	18	integer	integer	NOUN
ejpam-48	475	19	value	value	NOUN
ejpam-48	475	20	and	and	CCONJ
ejpam-48	475	21	just	just	ADV
ejpam-48	475	22	like	like	SCONJ
ejpam-48	475	23	we	we	PRON
ejpam-48	475	24	’ve	’ve	AUX
ejpam-48	475	25	been	be	AUX
ejpam-48	475	26	taught	teach	VERB
ejpam-48	475	27	in	in	ADP
ejpam-48	475	28	algebra	algebra	NOUN
ejpam-48	475	29	,	,	PUNCT
ejpam-48	475	30	you	you	PRON
ejpam-48	475	31	plug	plug	VERB
ejpam-48	475	32	some	some	DET
ejpam-48	475	33	number	number	NOUN
ejpam-48	475	34	in	in	ADV
ejpam-48	475	35	there	there	ADV
ejpam-48	475	36	and	and	CCONJ
ejpam-48	475	37	then	then	ADV
ejpam-48	475	38	use	use	VERB
ejpam-48	475	39	that	that	PRON
ejpam-48	475	40	,	,	PUNCT
ejpam-48	475	41	and	and	CCONJ
ejpam-48	475	42	so	so	ADV
ejpam-48	475	43	long	long	ADV
ejpam-48	475	44	as	as	SCONJ
ejpam-48	475	45	it	it	PRON
ejpam-48	475	46	’s	’	VERB
ejpam-48	475	47	a	a	DET
ejpam-48	475	48	number	number	NOUN
ejpam-48	475	49	,	,	PUNCT
ejpam-48	475	50	we	we	PRON
ejpam-48	475	51	can	can	AUX
ejpam-48	475	52	work	work	VERB
ejpam-48	475	53	with	with	ADP
ejpam-48	475	54	it	it	PRON
ejpam-48	475	55	.	.	PUNCT
ejpam-48	476	1	but	but	CCONJ
ejpam-48	476	2	whenever	whenever	SCONJ
ejpam-48	476	3	you	you	PRON
ejpam-48	476	4	ask	ask	VERB
ejpam-48	476	5	us	we	PRON
ejpam-48	476	6	to	to	PART
ejpam-48	476	7	do	do	VERB
ejpam-48	476	8	it	it	PRON
ejpam-48	476	9	infinitely	infinitely	ADV
ejpam-48	476	10	many	many	ADJ
ejpam-48	476	11	times	time	NOUN
ejpam-48	476	12	,	,	PUNCT
ejpam-48	476	13	we	we	PRON
ejpam-48	476	14	no	no	ADV
ejpam-48	476	15	longer	long	ADV
ejpam-48	476	16	have	have	VERB
ejpam-48	476	17	a	a	DET
ejpam-48	476	18	number	number	NOUN
ejpam-48	476	19	to	to	PART
ejpam-48	476	20	plug	plug	VERB
ejpam-48	476	21	in	in	ADV
ejpam-48	476	22	there	there	ADV
ejpam-48	476	23	.	.	PUNCT
ejpam-48	477	1	we	we	PRON
ejpam-48	477	2	have	have	VERB
ejpam-48	477	3	the	the	DET
ejpam-48	477	4	idea	idea	NOUN
ejpam-48	477	5	that	that	SCONJ
ejpam-48	477	6	we	we	PRON
ejpam-48	477	7	’re	’re	AUX
ejpam-48	477	8	always	always	ADV
ejpam-48	477	9	plugging	plug	VERB
ejpam-48	477	10	larger	large	ADJ
ejpam-48	477	11	numbers	number	NOUN
ejpam-48	477	12	into	into	ADP
ejpam-48	477	13	it	it	PRON
ejpam-48	477	14	,	,	PUNCT
ejpam-48	477	15	sonstops	sonstop	NOUN
ejpam-48	477	16	being	be	AUX
ejpam-48	477	17	a	a	DET
ejpam-48	477	18	single	single	ADJ
ejpam-48	477	19	number	number	NOUN
ejpam-48	477	20	and	and	CCONJ
ejpam-48	477	21	it	it	PRON
ejpam-48	477	22	starts	start	VERB
ejpam-48	477	23	being	be	AUX
ejpam-48	477	24	the	the	DET
ejpam-48	477	25	concept	concept	NOUN
ejpam-48	477	26	of	of	ADP
ejpam-48	477	27	being	be	AUX
ejpam-48	477	28	well	well	ADV
ejpam-48	477	29	,	,	PUNCT
ejpam-48	477	30	infinitely	infinitely	ADV
ejpam-48	477	31	many	many	ADJ
ejpam-48	477	32	numbers	number	NOUN
ejpam-48	477	33	.	.	PUNCT
ejpam-48	478	1	i	i	PRON
ejpam-48	478	2	:	:	PUNCT
ejpam-48	478	3	so	so	ADV
ejpam-48	478	4	if	if	SCONJ
ejpam-48	478	5	you	you	PRON
ejpam-48	478	6	’re	’re	AUX
ejpam-48	478	7	thinking	think	VERB
ejpam-48	478	8	of	of	ADP
ejpam-48	478	9	infinity	infinity	NOUN
ejpam-48	478	10	,	,	PUNCT
ejpam-48	478	11	this	this	DET
ejpam-48	478	12	changes	change	NOUN
ejpam-48	478	13	in	in	ADP
ejpam-48	478	14	what	what	DET
ejpam-48	478	15	way	way	NOUN
ejpam-48	478	16	?	?	PUNCT
ejpam-48	479	1	stan	stan	PROPN
ejpam-48	479	2	:	:	PUNCT
ejpam-48	480	1	it	it	PRON
ejpam-48	480	2	stops	stop	VERB
ejpam-48	480	3	being	be	AUX
ejpam-48	480	4	a	a	DET
ejpam-48	480	5	single	single	ADJ
ejpam-48	480	6	number	number	NOUN
ejpam-48	480	7	.	.	PUNCT
ejpam-48	481	1	i	i	PRON
ejpam-48	481	2	:	:	PUNCT
ejpam-48	481	3	it	it	PRON
ejpam-48	481	4	stops	stop	VERB
ejpam-48	481	5	being	be	AUX
ejpam-48	481	6	a	a	DET
ejpam-48	481	7	single	single	ADJ
ejpam-48	481	8	number	number	NOUN
ejpam-48	481	9	and	and	CCONJ
ejpam-48	481	10	for	for	SCONJ
ejpam-48	481	11	you	you	PRON
ejpam-48	481	12	becomes	become	VERB
ejpam-48	481	13	?	?	PUNCT
ejpam-48	482	1	stan	stan	PROPN
ejpam-48	482	2	:	:	PUNCT
ejpam-48	482	3	basically	basically	ADV
ejpam-48	482	4	every	every	DET
ejpam-48	482	5	number	number	NOUN
ejpam-48	482	6	higher	high	ADJ
ejpam-48	482	7	than	than	ADP
ejpam-48	482	8	what	what	PRON
ejpam-48	482	9	we	we	PRON
ejpam-48	482	10	already	already	ADV
ejpam-48	482	11	have	have	AUX
ejpam-48	482	12	.	.	PUNCT
ejpam-48	483	1	i	i	PRON
ejpam-48	483	2	:	:	PUNCT
ejpam-48	483	3	so	so	ADV
ejpam-48	483	4	it	it	PRON
ejpam-48	483	5	would	would	AUX
ejpam-48	483	6	become	become	VERB
ejpam-48	483	7	that	that	PRON
ejpam-48	483	8	?	?	PUNCT
ejpam-48	484	1	stan	stan	PROPN
ejpam-48	484	2	:	:	PUNCT
ejpam-48	484	3	and	and	CCONJ
ejpam-48	484	4	the	the	DET
ejpam-48	484	5	next	next	ADJ
ejpam-48	484	6	one	one	NUM
ejpam-48	484	7	and	and	CCONJ
ejpam-48	484	8	then	then	ADV
ejpam-48	484	9	the	the	DET
ejpam-48	484	10	next	next	ADJ
ejpam-48	484	11	one	one	NUM
ejpam-48	485	1	and	and	CCONJ
ejpam-48	485	2	then	then	ADV
ejpam-48	485	3	you	you	PRON
ejpam-48	485	4	know	know	VERB
ejpam-48	485	5	.	.	PUNCT
ejpam-48	486	1	later	later	ADV
ejpam-48	486	2	in	in	ADP
ejpam-48	486	3	the	the	DET
ejpam-48	486	4	interview	interview	NOUN
ejpam-48	486	5	,	,	PUNCT
ejpam-48	486	6	when	when	SCONJ
ejpam-48	486	7	asked	ask	VERB
ejpam-48	486	8	to	to	PART
ejpam-48	486	9	describe	describe	VERB
ejpam-48	486	10	the	the	DET
ejpam-48	486	11	natural	natural	ADJ
ejpam-48	486	12	numbers	number	NOUN
ejpam-48	486	13	,	,	PUNCT
ejpam-48	486	14	the	the	DET
ejpam-48	486	15	students	student	NOUN
ejpam-48	486	16	write	write	VERB
ejpam-48	486	17	∞→kk	∞→kk	ADP
ejpam-48	486	18	}	}	PUNCT
ejpam-48	486	19	,	,	PUNCT
ejpam-48	486	20	,	,	PUNCT
ejpam-48	486	21	2,1	2,1	NUM
ejpam-48	486	22	{	{	PUNCT
ejpam-48	486	23			NOUN
ejpam-48	486	24	.	.	PUNCT
ejpam-48	487	1	that	that	PRON
ejpam-48	487	2	is	is	ADV
ejpam-48	487	3	,	,	PUNCT
ejpam-48	487	4	they	they	PRON
ejpam-48	487	5	construct	construct	VERB
ejpam-48	487	6	a	a	DET
ejpam-48	487	7	process	process	NOUN
ejpam-48	487	8	of	of	ADP
ejpam-48	487	9	finite	finite	ADJ
ejpam-48	487	10	iteration	iteration	NOUN
ejpam-48	487	11	and	and	CCONJ
ejpam-48	487	12	coordinate	coordinate	VERB
ejpam-48	487	13	this	this	PRON
ejpam-48	487	14	with	with	ADP
ejpam-48	487	15	a	a	DET
ejpam-48	487	16	process	process	NOUN
ejpam-48	487	17	of	of	ADP
ejpam-48	487	18	allowing	allow	VERB
ejpam-48	487	19	k	k	PROPN
ejpam-48	487	20	to	to	PART
ejpam-48	487	21	approach	approach	VERB
ejpam-48	487	22	infinity	infinity	NOUN
ejpam-48	487	23	.	.	PUNCT
ejpam-48	488	1	the	the	DET
ejpam-48	488	2	same	same	ADJ
ejpam-48	488	3	type	type	NOUN
ejpam-48	488	4	of	of	ADP
ejpam-48	488	5	thinking	thinking	NOUN
ejpam-48	488	6	affects	affect	VERB
ejpam-48	488	7	their	their	PRON
ejpam-48	488	8	attempt	attempt	NOUN
ejpam-48	488	9	to	to	PART
ejpam-48	488	10	solve	solve	VERB
ejpam-48	488	11	the	the	DET
ejpam-48	488	12	iterative	iterative	NOUN
ejpam-48	488	13	process	process	NOUN
ejpam-48	488	14	of	of	ADP
ejpam-48	488	15	moving	move	VERB
ejpam-48	488	16	the	the	DET
ejpam-48	488	17	tennis	tennis	NOUN
ejpam-48	488	18	balls	ball	NOUN
ejpam-48	488	19	:	:	PUNCT
ejpam-48	488	20	they	they	PRON
ejpam-48	488	21	generate	generate	VERB
ejpam-48	488	22	an	an	DET
ejpam-48	488	23	expression	expression	NOUN
ejpam-48	488	24	to	to	PART
ejpam-48	488	25	represent	represent	VERB
ejpam-48	488	26	the	the	DET
ejpam-48	488	27	completion	completion	NOUN
ejpam-48	488	28	of	of	ADP
ejpam-48	488	29	an	an	DET
ejpam-48	488	30	arbitrary	arbitrary	ADJ
ejpam-48	488	31	number	number	NOUN
ejpam-48	488	32	of	of	ADP
ejpam-48	488	33	steps	step	NOUN
ejpam-48	488	34	,	,	PUNCT
ejpam-48	488	35	and	and	CCONJ
ejpam-48	488	36	then	then	ADV
ejpam-48	488	37	they	they	PRON
ejpam-48	488	38	attempt	attempt	VERB
ejpam-48	488	39	to	to	PART
ejpam-48	488	40	apply	apply	VERB
ejpam-48	488	41	a	a	DET
ejpam-48	488	42	limit	limit	NOUN
ejpam-48	488	43	.	.	PUNCT
ejpam-48	489	1	since	since	SCONJ
ejpam-48	489	2	they	they	PRON
ejpam-48	489	3	know	know	VERB
ejpam-48	489	4	they	they	PRON
ejpam-48	489	5	can	can	AUX
ejpam-48	489	6	not	not	PART
ejpam-48	489	7	operate	operate	VERB
ejpam-48	489	8	with	with	ADP
ejpam-48	489	9	∞	∞	PROPN
ejpam-48	489	10	,	,	PUNCT
ejpam-48	489	11	and	and	CCONJ
ejpam-48	489	12	since	since	SCONJ
ejpam-48	489	13	the	the	DET
ejpam-48	489	14	process	process	NOUN
ejpam-48	489	15	of	of	ADP
ejpam-48	489	16	iterating	iterate	VERB
ejpam-48	489	17	throughncontinues	throughncontinue	NOUN
ejpam-48	489	18	forever	forever	ADV
ejpam-48	489	19	,	,	PUNCT
ejpam-48	489	20	they	they	PRON
ejpam-48	489	21	can	can	AUX
ejpam-48	489	22	not	not	PART
ejpam-48	489	23	determine	determine	VERB
ejpam-48	489	24	the	the	DET
ejpam-48	489	25	exact	exact	ADJ
ejpam-48	489	26	contents	content	NOUN
ejpam-48	489	27	of	of	ADP
ejpam-48	489	28	each	each	DET
ejpam-48	489	29	bin	bin	NOUN
ejpam-48	489	30	.	.	PUNCT
ejpam-48	490	1	thus	thus	ADV
ejpam-48	490	2	,	,	PUNCT
ejpam-48	490	3	they	they	PRON
ejpam-48	490	4	conclude	conclude	VERB
ejpam-48	490	5	that	that	SCONJ
ejpam-48	490	6	both	both	DET
ejpam-48	490	7	bins	bin	NOUN
ejpam-48	490	8	contain	contain	VERB
ejpam-48	490	9	half	half	DET
ejpam-48	490	10	the	the	DET
ejpam-48	490	11	balls	ball	NOUN
ejpam-48	490	12	.	.	PUNCT
ejpam-48	491	1	analysis	analysis	NOUN
ejpam-48	491	2	of	of	ADP
ejpam-48	491	3	the	the	DET
ejpam-48	491	4	interview	interview	NOUN
ejpam-48	491	5	with	with	ADP
ejpam-48	491	6	paul	paul	PROPN
ejpam-48	491	7	paul	paul	PROPN
ejpam-48	491	8	sees	see	VERB
ejpam-48	491	9	the	the	DET
ejpam-48	491	10	set	set	NOUN
ejpam-48	491	11	of	of	ADP
ejpam-48	491	12	natural	natural	ADJ
ejpam-48	491	13	numbers	number	NOUN
ejpam-48	491	14	as	as	ADP
ejpam-48	491	15	a	a	DET
ejpam-48	491	16	large	large	ADJ
ejpam-48	491	17	finite	finite	NOUN
ejpam-48	491	18	set	set	NOUN
ejpam-48	491	19	,	,	PUNCT
ejpam-48	491	20	with	with	ADP
ejpam-48	491	21	∞	∞	PROPN
ejpam-48	491	22	as	as	ADP
ejpam-48	491	23	a	a	DET
ejpam-48	491	24	last	last	ADJ
ejpam-48	491	25	term	term	NOUN
ejpam-48	491	26	that	that	PRON
ejpam-48	491	27	can	can	AUX
ejpam-48	491	28	be	be	AUX
ejpam-48	491	29	used	use	VERB
ejpam-48	491	30	for	for	ADP
ejpam-48	491	31	calculation	calculation	NOUN
ejpam-48	491	32	.	.	PUNCT
ejpam-48	492	1	for	for	ADP
ejpam-48	492	2	the	the	DET
ejpam-48	492	3	finite	finite	ADJ
ejpam-48	492	4	version	version	NOUN
ejpam-48	492	5	of	of	ADP
ejpam-48	492	6	the	the	DET
ejpam-48	492	7	problem	problem	NOUN
ejpam-48	492	8	,	,	PUNCT
ejpam-48	492	9	he	he	PRON
ejpam-48	492	10	notes	note	VERB
ejpam-48	492	11	that	that	SCONJ
ejpam-48	492	12	afternsteps	afternstep	NOUN
ejpam-48	492	13	,	,	PUNCT
ejpam-48	492	14	t	t	PROPN
ejpam-48	492	15	contains	contain	VERB
ejpam-48	492	16	balls	ball	NOUN
ejpam-48	492	17	numbered	number	VERB
ejpam-48	492	18	1	1	NUM
ejpam-48	492	19	throughnand	throughnand	NOUN
ejpam-48	492	20	a	a	PRON
ejpam-48	492	21	contains	contain	VERB
ejpam-48	492	22	balls	ball	NOUN
ejpam-48	492	23	numbered	number	VERB
ejpam-48	492	24	1+n	1+n	NUM
ejpam-48	492	25	through	through	ADP
ejpam-48	492	26	n2	n2	NOUN
ejpam-48	492	27	.	.	PUNCT
ejpam-48	493	1	for	for	ADP
ejpam-48	493	2	the	the	DET
ejpam-48	493	3	infinite	infinite	ADJ
ejpam-48	493	4	case	case	NOUN
ejpam-48	493	5	,	,	PUNCT
ejpam-48	493	6	he	he	PRON
ejpam-48	493	7	substitutes	substitute	VERB
ejpam-48	493	8	∞	∞	PROPN
ejpam-48	493	9	for	for	ADP
ejpam-48	493	10	n	n	PRON
ejpam-48	493	11	and	and	CCONJ
ejpam-48	493	12	writes	write	VERB
ejpam-48	493	13	t	t	PROPN
ejpam-48	493	14	with	with	ADP
ejpam-48	493	15	∞→1	∞→1	PROPN
ejpam-48	493	16	written	write	VERB
ejpam-48	493	17	under	under	ADP
ejpam-48	493	18	it	it	PRON
ejpam-48	493	19	and	and	CCONJ
ejpam-48	493	20	a	a	PRON
ejpam-48	493	21	with	with	ADP
ejpam-48	493	22	∞→+∞	∞→+∞	PROPN
ejpam-48	493	23	21	21	NUM
ejpam-48	493	24	under	under	ADP
ejpam-48	493	25	it	it	PRON
ejpam-48	493	26	.	.	PUNCT
ejpam-48	494	1	then	then	ADV
ejpam-48	494	2	he	he	PRON
ejpam-48	494	3	writes	write	VERB
ejpam-48	494	4	12	12	NUM
ejpam-48	494	5	+	+	NOUN
ejpam-48	494	6	∞−∞	∞−∞	NOUN
ejpam-48	494	7	for	for	ADP
ejpam-48	494	8	the	the	DET
ejpam-48	494	9	number	number	NOUN
ejpam-48	494	10	of	of	ADP
ejpam-48	494	11	balls	ball	NOUN
ejpam-48	494	12	in	in	ADP
ejpam-48	494	13	a	a	DET
ejpam-48	494	14	and	and	CCONJ
ejpam-48	494	15	“	"	PUNCT
ejpam-48	494	16	cancels	cancel	NOUN
ejpam-48	494	17	”	"	PUNCT
ejpam-48	494	18	∞−∞	∞−∞	NOUN
ejpam-48	494	19	to	to	PART
ejpam-48	494	20	obtain	obtain	VERB
ejpam-48	494	21	1+∞	1+∞	NUM
ejpam-48	494	22	.	.	PUNCT
ejpam-48	495	1	in	in	ADP
ejpam-48	495	2	short	short	ADJ
ejpam-48	495	3	,	,	PUNCT
ejpam-48	495	4	he	he	PRON
ejpam-48	495	5	sees	see	VERB
ejpam-48	495	6	no	no	DET
ejpam-48	495	7	conflict	conflict	NOUN
ejpam-48	495	8	between	between	ADP
ejpam-48	495	9	the	the	DET
ejpam-48	495	10	representation	representation	NOUN
ejpam-48	495	11	of	of	ADP
ejpam-48	495	12	the	the	DET
ejpam-48	495	13	holding	hold	VERB
ejpam-48	495	14	bin	bin	NOUN
ejpam-48	495	15	as	as	ADP
ejpam-48	495	16	containing	contain	VERB
ejpam-48	495	17	balls	ball	NOUN
ejpam-48	495	18	∞,,2,1	∞,,2,1	VERB
ejpam-48	495	19			NOUN
ejpam-48	495	20	and	and	CCONJ
ejpam-48	495	21	the	the	DET
ejpam-48	495	22	division	division	NOUN
ejpam-48	495	23	of	of	ADP
ejpam-48	495	24	those	those	DET
ejpam-48	495	25	contents	content	NOUN
ejpam-48	495	26	among	among	ADP
ejpam-48	495	27	bins	bin	NOUN
ejpam-48	495	28	a	a	PRON
ejpam-48	495	29	and	and	CCONJ
ejpam-48	495	30	t	t	NOUN
ejpam-48	495	31	such	such	ADJ
ejpam-48	495	32	that	that	SCONJ
ejpam-48	495	33	balls	ball	NOUN
ejpam-48	495	34	1	1	NUM
ejpam-48	495	35	to∞	to∞	PROPN
ejpam-48	495	36	reside	reside	VERB
ejpam-48	495	37	in	in	ADP
ejpam-48	495	38	t	t	PROPN
ejpam-48	495	39	and	and	CCONJ
ejpam-48	495	40	balls	ball	NOUN
ejpam-48	495	41	numbered	number	VERB
ejpam-48	495	42	∞	∞	PROPN
ejpam-48	495	43	+	+	CCONJ
ejpam-48	495	44	1	1	NUM
ejpam-48	495	45	to	to	ADP
ejpam-48	495	46	∞2	∞2	PROPN
ejpam-48	495	47	occupy	occupy	VERB
ejpam-48	495	48	bin	bin	PROPN
ejpam-48	495	49	a.	a.	NOUN
ejpam-48	496	1	so	so	ADV
ejpam-48	496	2	,	,	PUNCT
ejpam-48	496	3	while	while	SCONJ
ejpam-48	496	4	he	he	PRON
ejpam-48	496	5	treats	treat	VERB
ejpam-48	496	6	∞	∞	PROPN
ejpam-48	496	7	as	as	ADP
ejpam-48	496	8	a	a	DET
ejpam-48	496	9	calculable	calculable	ADJ
ejpam-48	496	10	entity	entity	NOUN
ejpam-48	496	11	,	,	PUNCT
ejpam-48	496	12	his	his	PRON
ejpam-48	496	13	use	use	NOUN
ejpam-48	496	14	of	of	ADP
ejpam-48	496	15	1+∞	1+∞	NUM
ejpam-48	496	16	and	and	CCONJ
ejpam-48	496	17	∞2	∞2	PROPN
ejpam-48	496	18	signifies	signify	VERB
ejpam-48	496	19	a	a	DET
ejpam-48	496	20	notion	notion	NOUN
ejpam-48	496	21	of	of	ADP
ejpam-48	496	22	things	thing	NOUN
ejpam-48	496	23	that	that	PRON
ejpam-48	496	24	happen	happen	VERB
ejpam-48	496	25	after	after	SCONJ
ejpam-48	496	26	one	one	NOUN
ejpam-48	496	27	reaches	reach	VERB
ejpam-48	496	28	∞.	∞.	PROPN
ejpam-48	496	29	at	at	ADP
ejpam-48	496	30	this	this	DET
ejpam-48	496	31	point	point	NOUN
ejpam-48	496	32	,	,	PUNCT
ejpam-48	496	33	he	he	PRON
ejpam-48	496	34	begins	begin	VERB
ejpam-48	496	35	a	a	DET
ejpam-48	496	36	new	new	ADJ
ejpam-48	496	37	process	process	NOUN
ejpam-48	496	38	.	.	PUNCT
ejpam-48	497	1	e.	e.	PROPN
ejpam-48	497	2	dubinsky	dubinsky	PROPN
ejpam-48	497	3	et	et	PROPN
ejpam-48	497	4	al	al	PROPN
ejpam-48	497	5	.	.	PUNCT
ejpam-48	497	6	/	/	SYM
ejpam-48	497	7	eur	eur	PROPN
ejpam-48	497	8	.	.	PUNCT
ejpam-48	498	1	j.	j.	PROPN
ejpam-48	498	2	pure	pure	PROPN
ejpam-48	498	3	.	.	PUNCT
ejpam-48	499	1	appl	appl	PROPN
ejpam-48	499	2	.	.	PUNCT
ejpam-48	499	3	math	math	NOUN
ejpam-48	499	4	.	.	PUNCT
ejpam-48	500	1	1	1	NUM
ejpam-48	500	2	,	,	PUNCT
ejpam-48	500	3	(	(	PUNCT
ejpam-48	500	4	2008	2008	NUM
ejpam-48	500	5	)	)	PUNCT
ejpam-48	500	6	,	,	PUNCT
ejpam-48	500	7	(	(	PUNCT
ejpam-48	500	8	99	99	NUM
ejpam-48	500	9	-	-	SYM
ejpam-48	500	10	121	121	NUM
ejpam-48	500	11	)	)	PUNCT
ejpam-48	500	12	116	116	NUM
ejpam-48	500	13	paul	paul	PROPN
ejpam-48	500	14	believes	believe	VERB
ejpam-48	500	15	that	that	SCONJ
ejpam-48	500	16	the	the	DET
ejpam-48	500	17	holding	hold	VERB
ejpam-48	500	18	bin	bin	PROPN
ejpam-48	500	19	,	,	PUNCT
ejpam-48	500	20	which	which	PRON
ejpam-48	500	21	he	he	PRON
ejpam-48	500	22	sees	see	VERB
ejpam-48	500	23	as	as	ADP
ejpam-48	500	24	consisting	consist	VERB
ejpam-48	500	25	of	of	ADP
ejpam-48	500	26	∞,,3,2,1	∞,,3,2,1	NUM
ejpam-48	500	27			DET
ejpam-48	500	28	will	will	AUX
ejpam-48	500	29	be	be	AUX
ejpam-48	500	30	emptied	empty	VERB
ejpam-48	500	31	after	after	ADP
ejpam-48	500	32	2	2	NUM
ejpam-48	500	33	∞	∞	NUM
ejpam-48	500	34	steps	step	NOUN
ejpam-48	500	35	.	.	PUNCT
ejpam-48	501	1	this	this	PRON
ejpam-48	501	2	is	be	AUX
ejpam-48	501	3	indicated	indicate	VERB
ejpam-48	501	4	,	,	PUNCT
ejpam-48	501	5	for	for	ADP
ejpam-48	501	6	example	example	NOUN
ejpam-48	501	7	,	,	PUNCT
ejpam-48	501	8	when	when	SCONJ
ejpam-48	501	9	the	the	DET
ejpam-48	501	10	interviewer	interviewer	NOUN
ejpam-48	501	11	asks	ask	VERB
ejpam-48	501	12	at	at	ADP
ejpam-48	501	13	which	which	DET
ejpam-48	501	14	point	point	NOUN
ejpam-48	501	15	the	the	DET
ejpam-48	501	16	holding	hold	VERB
ejpam-48	501	17	bin	bin	NOUN
ejpam-48	501	18	is	be	AUX
ejpam-48	501	19	emptied	empty	VERB
ejpam-48	501	20	;	;	PUNCT
ejpam-48	501	21	paul	paul	PROPN
ejpam-48	501	22	says	say	VERB
ejpam-48	501	23	it	it	PRON
ejpam-48	501	24	would	would	AUX
ejpam-48	501	25	require	require	VERB
ejpam-48	501	26	2	2	NUM
ejpam-48	501	27	∞	∞	NUM
ejpam-48	501	28	steps	step	NOUN
ejpam-48	501	29	:	:	PUNCT
ejpam-48	502	1	i	i	PRON
ejpam-48	502	2	:	:	PUNCT
ejpam-48	503	1	yeah	yeah	INTJ
ejpam-48	503	2	,	,	PUNCT
ejpam-48	503	3	how	how	SCONJ
ejpam-48	503	4	many	many	ADJ
ejpam-48	503	5	times	time	NOUN
ejpam-48	503	6	would	would	AUX
ejpam-48	503	7	you	you	PRON
ejpam-48	503	8	have	have	VERB
ejpam-48	503	9	to	to	PART
ejpam-48	503	10	push	push	VERB
ejpam-48	503	11	it	it	PRON
ejpam-48	503	12	to	to	PART
ejpam-48	503	13	run	run	VERB
ejpam-48	503	14	it	it	PRON
ejpam-48	503	15	out	out	ADP
ejpam-48	503	16	?	?	PUNCT
ejpam-48	504	1	paul	paul	PROPN
ejpam-48	504	2	:	:	PUNCT
ejpam-48	504	3	you	you	PRON
ejpam-48	504	4	’d	’d	NOUN
ejpam-48	504	5	have	have	VERB
ejpam-48	504	6	to	to	PART
ejpam-48	504	7	run	run	VERB
ejpam-48	504	8	it	it	PRON
ejpam-48	504	9	,	,	PUNCT
ejpam-48	504	10	push	push	VERB
ejpam-48	504	11	it	it	PRON
ejpam-48	504	12	half	half	DET
ejpam-48	504	13	as	as	ADV
ejpam-48	504	14	many	many	ADJ
ejpam-48	504	15	times	time	NOUN
ejpam-48	504	16	as	as	ADP
ejpam-48	504	17	balls	ball	NOUN
ejpam-48	504	18	that	that	PRON
ejpam-48	504	19	are	be	AUX
ejpam-48	504	20	in	in	ADP
ejpam-48	504	21	there	there	ADV
ejpam-48	504	22	.	.	PUNCT
ejpam-48	505	1	i	i	PRON
ejpam-48	505	2	:	:	PUNCT
ejpam-48	505	3	well	well	INTJ
ejpam-48	505	4	i	i	PRON
ejpam-48	505	5	’ve	’ve	AUX
ejpam-48	505	6	got	get	VERB
ejpam-48	505	7	all	all	DET
ejpam-48	505	8	these	these	DET
ejpam-48	505	9	balls	ball	NOUN
ejpam-48	505	10	,	,	PUNCT
ejpam-48	505	11	nequal	nequal	ADJ
ejpam-48	505	12	1	1	NUM
ejpam-48	505	13	,	,	PUNCT
ejpam-48	505	14	2	2	NUM
ejpam-48	505	15	,	,	PUNCT
ejpam-48	505	16	3	3	NUM
ejpam-48	505	17	,	,	PUNCT
ejpam-48	505	18	and	and	CCONJ
ejpam-48	505	19	so	so	ADV
ejpam-48	505	20	on	on	ADV
ejpam-48	505	21	.	.	PUNCT
ejpam-48	506	1	paul	paul	PROPN
ejpam-48	506	2	:	:	PUNCT
ejpam-48	506	3	umhm	umhm	NOUN
ejpam-48	506	4	.	.	PUNCT
ejpam-48	507	1	well	well	INTJ
ejpam-48	507	2	,	,	PUNCT
ejpam-48	507	3	if	if	SCONJ
ejpam-48	507	4	you	you	PRON
ejpam-48	507	5	have	have	VERB
ejpam-48	507	6	infinitely	infinitely	ADV
ejpam-48	507	7	many	many	ADJ
ejpam-48	507	8	balls	ball	NOUN
ejpam-48	507	9	,	,	PUNCT
ejpam-48	507	10	it	it	PRON
ejpam-48	507	11	would	would	AUX
ejpam-48	507	12	have	have	VERB
ejpam-48	507	13	to	to	PART
ejpam-48	507	14	be	be	AUX
ejpam-48	507	15	infinity	infinity	NOUN
ejpam-48	507	16	divided	divide	VERB
ejpam-48	507	17	by	by	ADP
ejpam-48	507	18	two	two	NUM
ejpam-48	507	19	,	,	PUNCT
ejpam-48	507	20	because	because	SCONJ
ejpam-48	507	21	each	each	DET
ejpam-48	507	22	time	time	NOUN
ejpam-48	507	23	you	you	PRON
ejpam-48	507	24	’re	’re	AUX
ejpam-48	507	25	losing	lose	VERB
ejpam-48	507	26	two	two	NUM
ejpam-48	507	27	balls	ball	NOUN
ejpam-48	507	28	,	,	PUNCT
ejpam-48	507	29	so	so	ADV
ejpam-48	507	30	take	take	VERB
ejpam-48	507	31	half	half	NOUN
ejpam-48	507	32	of	of	ADP
ejpam-48	507	33	them	they	PRON
ejpam-48	507	34	.	.	PUNCT
ejpam-48	508	1	there	there	PRON
ejpam-48	508	2	are	be	VERB
ejpam-48	508	3	no	no	DET
ejpam-48	508	4	such	such	ADJ
ejpam-48	508	5	complications	complication	NOUN
ejpam-48	508	6	for	for	ADP
ejpam-48	508	7	paul	paul	PROPN
ejpam-48	508	8	regarding	regard	VERB
ejpam-48	508	9	the	the	DET
ejpam-48	508	10	iterative	iterative	ADJ
ejpam-48	508	11	process	process	NOUN
ejpam-48	508	12	of	of	ADP
ejpam-48	508	13	subdividing	subdivide	VERB
ejpam-48	508	14	the	the	DET
ejpam-48	508	15	time	time	NOUN
ejpam-48	508	16	.	.	PUNCT
ejpam-48	509	1	in	in	ADP
ejpam-48	509	2	this	this	DET
ejpam-48	509	3	case	case	NOUN
ejpam-48	509	4	,	,	PUNCT
ejpam-48	509	5	paul	paul	PROPN
ejpam-48	509	6	conceives	conceive	VERB
ejpam-48	509	7	of	of	ADP
ejpam-48	509	8	an	an	DET
ejpam-48	509	9	ongoing	ongoing	ADJ
ejpam-48	509	10	,	,	PUNCT
ejpam-48	509	11	incomplete	incomplete	ADJ
ejpam-48	509	12	infinite	infinite	ADJ
ejpam-48	509	13	process	process	NOUN
ejpam-48	509	14	where	where	SCONJ
ejpam-48	509	15	“	"	PUNCT
ejpam-48	509	16	you	you	PRON
ejpam-48	509	17	can	can	AUX
ejpam-48	509	18	always	always	ADV
ejpam-48	509	19	divide	divide	VERB
ejpam-48	509	20	that	that	DET
ejpam-48	509	21	time	time	NOUN
ejpam-48	509	22	in	in	ADP
ejpam-48	509	23	half	half	NOUN
ejpam-48	509	24	”	"	PUNCT
ejpam-48	509	25	:	:	PUNCT
ejpam-48	509	26	paul	paul	PROPN
ejpam-48	509	27	:	:	PUNCT
ejpam-48	509	28	…	…	PUNCT
ejpam-48	509	29	because	because	SCONJ
ejpam-48	509	30	you	you	PRON
ejpam-48	509	31	’re	’re	AUX
ejpam-48	509	32	accelerating	accelerate	VERB
ejpam-48	509	33	the	the	DET
ejpam-48	509	34	time	time	NOUN
ejpam-48	509	35	periods	period	NOUN
ejpam-48	509	36	in	in	ADP
ejpam-48	509	37	which	which	PRON
ejpam-48	509	38	you	you	PRON
ejpam-48	509	39	’re	’re	AUX
ejpam-48	509	40	hitting	hit	VERB
ejpam-48	509	41	the	the	DET
ejpam-48	509	42	button	button	NOUN
ejpam-48	509	43	,	,	PUNCT
ejpam-48	509	44	getting	get	VERB
ejpam-48	509	45	faster	fast	ADJ
ejpam-48	509	46	and	and	CCONJ
ejpam-48	509	47	faster	fast	ADV
ejpam-48	509	48	,	,	PUNCT
ejpam-48	509	49	following	follow	VERB
ejpam-48	509	50	the	the	DET
ejpam-48	509	51	,	,	PUNCT
ejpam-48	509	52	umm	umm	INTJ
ejpam-48	509	53	,	,	PUNCT
ejpam-48	509	54	parabolic	parabolic	ADJ
ejpam-48	509	55	curves	curve	NOUN
ejpam-48	509	56	,	,	PUNCT
ejpam-48	509	57	so	so	SCONJ
ejpam-48	509	58	it	it	PRON
ejpam-48	509	59	’ll	’ll	AUX
ejpam-48	509	60	keep	keep	VERB
ejpam-48	509	61	getting	get	VERB
ejpam-48	509	62	faster	fast	ADJ
ejpam-48	509	63	and	and	CCONJ
ejpam-48	509	64	faster	fast	ADV
ejpam-48	509	65	and	and	CCONJ
ejpam-48	509	66	faster	fast	ADV
ejpam-48	509	67	,	,	PUNCT
ejpam-48	509	68	and	and	CCONJ
ejpam-48	509	69	there	there	PRON
ejpam-48	509	70	’s	’	VERB
ejpam-48	509	71	no	no	DET
ejpam-48	509	72	limit	limit	NOUN
ejpam-48	509	73	till	till	SCONJ
ejpam-48	509	74	it	it	PRON
ejpam-48	509	75	reaches	reach	VERB
ejpam-48	509	76	noon	noon	NOUN
ejpam-48	509	77	.	.	PUNCT
ejpam-48	510	1	it	it	PRON
ejpam-48	510	2	’ll	’ll	AUX
ejpam-48	510	3	approach	approach	VERB
ejpam-48	510	4	it	it	PRON
ejpam-48	510	5	,	,	PUNCT
ejpam-48	510	6	so	so	ADV
ejpam-48	510	7	it	it	PRON
ejpam-48	510	8	’d	’d	ADV
ejpam-48	510	9	be	be	AUX
ejpam-48	510	10	like	like	ADP
ejpam-48	510	11	an	an	DET
ejpam-48	510	12	asymptote	asymptote	NOUN
ejpam-48	510	13	there	there	ADV
ejpam-48	510	14	,	,	PUNCT
ejpam-48	510	15	because	because	SCONJ
ejpam-48	510	16	it	it	PRON
ejpam-48	510	17	wo	will	AUX
ejpam-48	510	18	n’t	not	PART
ejpam-48	510	19	ever	ever	ADV
ejpam-48	510	20	reach	reach	VERB
ejpam-48	510	21	it	it	PRON
ejpam-48	510	22	.	.	PUNCT
ejpam-48	511	1	not	not	PART
ejpam-48	511	2	only	only	ADV
ejpam-48	511	3	is	be	AUX
ejpam-48	511	4	12	12	NUM
ejpam-48	511	5	noon	noon	NOUN
ejpam-48	511	6	unattainable	unattainable	ADJ
ejpam-48	511	7	,	,	PUNCT
ejpam-48	511	8	but	but	CCONJ
ejpam-48	511	9	the	the	DET
ejpam-48	511	10	subdivision	subdivision	NOUN
ejpam-48	511	11	steps	step	NOUN
ejpam-48	511	12	,	,	PUNCT
ejpam-48	511	13	because	because	SCONJ
ejpam-48	511	14	successively	successively	ADV
ejpam-48	511	15	less	less	ADJ
ejpam-48	511	16	time	time	NOUN
ejpam-48	511	17	separates	separate	VERB
ejpam-48	511	18	them	they	PRON
ejpam-48	511	19	,	,	PUNCT
ejpam-48	511	20	outnumber	outnumber	ADP
ejpam-48	511	21	the	the	DET
ejpam-48	511	22	steps	step	NOUN
ejpam-48	511	23	necessary	necessary	ADJ
ejpam-48	511	24	to	to	PART
ejpam-48	511	25	empty	empty	VERB
ejpam-48	511	26	the	the	DET
ejpam-48	511	27	holding	hold	VERB
ejpam-48	511	28	bin	bin	NOUN
ejpam-48	511	29	.	.	PUNCT
ejpam-48	512	1	this	this	PRON
ejpam-48	512	2	prevents	prevent	VERB
ejpam-48	512	3	paul	paul	PROPN
ejpam-48	512	4	from	from	ADP
ejpam-48	512	5	coordinating	coordinate	VERB
ejpam-48	512	6	the	the	DET
ejpam-48	512	7	passage	passage	NOUN
ejpam-48	512	8	of	of	ADP
ejpam-48	512	9	time	time	NOUN
ejpam-48	512	10	with	with	ADP
ejpam-48	512	11	the	the	DET
ejpam-48	512	12	movement	movement	NOUN
ejpam-48	512	13	of	of	ADP
ejpam-48	512	14	the	the	DET
ejpam-48	512	15	tennis	tennis	NOUN
ejpam-48	512	16	balls	ball	NOUN
ejpam-48	512	17	beyond	beyond	ADP
ejpam-48	512	18	finitely	finitely	ADV
ejpam-48	512	19	many	many	ADJ
ejpam-48	512	20	steps	step	NOUN
ejpam-48	512	21	:	:	PUNCT
ejpam-48	512	22	paul	paul	PROPN
ejpam-48	512	23	:	:	PUNCT
ejpam-48	512	24	you	you	PRON
ejpam-48	512	25	can	can	AUX
ejpam-48	512	26	keep	keep	VERB
ejpam-48	512	27	pushing	push	VERB
ejpam-48	512	28	the	the	DET
ejpam-48	512	29	button	button	NOUN
ejpam-48	512	30	quicker	quick	ADV
ejpam-48	512	31	and	and	CCONJ
ejpam-48	512	32	quicker	quick	ADV
ejpam-48	512	33	because	because	SCONJ
ejpam-48	512	34	you	you	PRON
ejpam-48	512	35	’re	’re	AUX
ejpam-48	512	36	accelerating	accelerate	VERB
ejpam-48	512	37	at	at	ADP
ejpam-48	512	38	an	an	DET
ejpam-48	512	39	exponential	exponential	ADJ
ejpam-48	512	40	rate	rate	NOUN
ejpam-48	512	41	,	,	PUNCT
ejpam-48	512	42	and	and	CCONJ
ejpam-48	512	43	therefore	therefore	ADV
ejpam-48	512	44	you	you	PRON
ejpam-48	512	45	can	can	AUX
ejpam-48	512	46	keep	keep	VERB
ejpam-48	512	47	pushing	push	VERB
ejpam-48	512	48	it	it	PRON
ejpam-48	512	49	and	and	CCONJ
ejpam-48	512	50	you	you	PRON
ejpam-48	512	51	would	would	AUX
ejpam-48	512	52	n’t	not	PART
ejpam-48	512	53	have	have	AUX
ejpam-48	512	54	quit	quit	VERB
ejpam-48	512	55	with	with	ADP
ejpam-48	512	56	a	a	DET
ejpam-48	512	57	ball	ball	NOUN
ejpam-48	512	58	in	in	ADP
ejpam-48	512	59	the	the	DET
ejpam-48	512	60	hopper	hopper	NOUN
ejpam-48	512	61	or	or	CCONJ
ejpam-48	512	62	a	a	DET
ejpam-48	512	63	ball	ball	NOUN
ejpam-48	512	64	in	in	ADP
ejpam-48	512	65	a	a	PRON
ejpam-48	512	66	,	,	PUNCT
ejpam-48	512	67	because	because	SCONJ
ejpam-48	512	68	you	you	PRON
ejpam-48	512	69	would	would	AUX
ejpam-48	512	70	n’t	not	PART
ejpam-48	512	71	have	have	AUX
ejpam-48	512	72	pushed	push	VERB
ejpam-48	512	73	noon	noon	NOUN
ejpam-48	512	74	because	because	SCONJ
ejpam-48	512	75	there	there	PRON
ejpam-48	512	76	’s	’	VERB
ejpam-48	512	77	still	still	ADV
ejpam-48	512	78	time	time	NOUN
ejpam-48	512	79	left	leave	VERB
ejpam-48	512	80	to	to	PART
ejpam-48	512	81	push	push	VERB
ejpam-48	512	82	the	the	DET
ejpam-48	512	83	button	button	NOUN
ejpam-48	512	84	,	,	PUNCT
ejpam-48	512	85	since	since	SCONJ
ejpam-48	512	86	your	your	PRON
ejpam-48	512	87	last	last	ADJ
ejpam-48	512	88	push	push	NOUN
ejpam-48	512	89	,	,	PUNCT
ejpam-48	512	90	like	like	SCONJ
ejpam-48	512	91	if	if	SCONJ
ejpam-48	512	92	you	you	PRON
ejpam-48	512	93	’re	’re	VERB
ejpam-48	512	94	at	at	ADP
ejpam-48	512	95	the	the	DET
ejpam-48	512	96	thn	thn	PROPN
ejpam-48	512	97	push	push	NOUN
ejpam-48	512	98	,	,	PUNCT
ejpam-48	512	99	you	you	PRON
ejpam-48	512	100	still	still	ADV
ejpam-48	512	101	have	have	VERB
ejpam-48	512	102	1	1	NUM
ejpam-48	512	103	over	over	ADP
ejpam-48	512	104	n2	n2	ADJ
ejpam-48	512	105	,	,	PUNCT
ejpam-48	512	106	1	1	NUM
ejpam-48	512	107	over	over	ADP
ejpam-48	512	108	2	2	NUM
ejpam-48	512	109	to	to	ADP
ejpam-48	512	110	the	the	DET
ejpam-48	512	111	n	n	NUM
ejpam-48	512	112	time	time	NOUN
ejpam-48	512	113	before	before	ADV
ejpam-48	512	114	,	,	PUNCT
ejpam-48	512	115	minutes	minute	NOUN
ejpam-48	512	116	before	before	ADP
ejpam-48	512	117	noon	noon	NOUN
ejpam-48	512	118	,	,	PUNCT
ejpam-48	512	119	and	and	CCONJ
ejpam-48	512	120	you	you	PRON
ejpam-48	512	121	always	always	ADV
ejpam-48	512	122	can	can	AUX
ejpam-48	512	123	push	push	VERB
ejpam-48	512	124	1	1	NUM
ejpam-48	512	125	over	over	ADP
ejpam-48	512	126	2	2	NUM
ejpam-48	512	127	to	to	ADP
ejpam-48	512	128	the	the	DET
ejpam-48	512	129	n	n	NOUN
ejpam-48	512	130	minus	minus	NOUN
ejpam-48	512	131	,	,	PUNCT
ejpam-48	512	132	plus	plus	CCONJ
ejpam-48	512	133	1	1	NUM
ejpam-48	512	134	,	,	PUNCT
ejpam-48	512	135	and	and	CCONJ
ejpam-48	512	136	that	that	PRON
ejpam-48	512	137	would	would	AUX
ejpam-48	512	138	get	get	VERB
ejpam-48	512	139	the	the	DET
ejpam-48	512	140	element	element	NOUN
ejpam-48	512	141	in	in	ADP
ejpam-48	512	142	a.	a.	NOUN
ejpam-48	512	143	given	give	VERB
ejpam-48	512	144	this	this	DET
ejpam-48	512	145	description	description	NOUN
ejpam-48	512	146	of	of	ADP
ejpam-48	512	147	paul	paul	PROPN
ejpam-48	512	148	’s	’s	PART
ejpam-48	512	149	thinking	thinking	NOUN
ejpam-48	512	150	,	,	PUNCT
ejpam-48	512	151	we	we	PRON
ejpam-48	512	152	now	now	ADV
ejpam-48	512	153	turn	turn	VERB
ejpam-48	512	154	to	to	ADP
ejpam-48	512	155	an	an	DET
ejpam-48	512	156	analysis	analysis	NOUN
ejpam-48	512	157	of	of	ADP
ejpam-48	512	158	his	his	PRON
ejpam-48	512	159	thoughts	thought	NOUN
ejpam-48	512	160	about	about	ADP
ejpam-48	512	161	the	the	DET
ejpam-48	512	162	contents	content	NOUN
ejpam-48	512	163	of	of	ADP
ejpam-48	512	164	a	a	PRON
ejpam-48	512	165	when	when	SCONJ
ejpam-48	512	166	the	the	DET
ejpam-48	512	167	iterative	iterative	NOUN
ejpam-48	512	168	processes	process	NOUN
ejpam-48	512	169	are	be	AUX
ejpam-48	512	170	finished	finish	VERB
ejpam-48	512	171	.	.	PUNCT
ejpam-48	513	1	at	at	ADP
ejpam-48	513	2	one	one	NUM
ejpam-48	513	3	point	point	NOUN
ejpam-48	513	4	in	in	ADP
ejpam-48	513	5	the	the	DET
ejpam-48	513	6	interview	interview	NOUN
ejpam-48	513	7	,	,	PUNCT
ejpam-48	513	8	when	when	SCONJ
ejpam-48	513	9	asked	ask	VERB
ejpam-48	513	10	about	about	ADP
ejpam-48	513	11	the	the	DET
ejpam-48	513	12	state	state	NOUN
ejpam-48	513	13	of	of	ADP
ejpam-48	513	14	affairs	affair	NOUN
ejpam-48	513	15	at	at	ADP
ejpam-48	513	16	noon	noon	NOUN
ejpam-48	513	17	,	,	PUNCT
ejpam-48	513	18	his	his	PRON
ejpam-48	513	19	response	response	NOUN
ejpam-48	513	20	is	be	AUX
ejpam-48	513	21	:	:	PUNCT
ejpam-48	513	22	paul	paul	PROPN
ejpam-48	513	23	:	:	PUNCT
ejpam-48	513	24	well	well	INTJ
ejpam-48	513	25	,	,	PUNCT
ejpam-48	513	26	provided	provide	VERB
ejpam-48	513	27	that	that	SCONJ
ejpam-48	513	28	we	we	PRON
ejpam-48	513	29	had	have	VERB
ejpam-48	513	30	infinite	infinite	ADJ
ejpam-48	513	31	pushes	push	NOUN
ejpam-48	513	32	before	before	ADP
ejpam-48	513	33	noon	noon	NOUN
ejpam-48	513	34	,	,	PUNCT
ejpam-48	513	35	every	every	DET
ejpam-48	513	36	ball	ball	NOUN
ejpam-48	513	37	would	would	AUX
ejpam-48	513	38	end	end	VERB
ejpam-48	513	39	up	up	ADP
ejpam-48	513	40	in	in	ADP
ejpam-48	513	41	t	t	PROPN
ejpam-48	513	42	,	,	PUNCT
ejpam-48	513	43	provided	provide	VERB
ejpam-48	513	44	the	the	DET
ejpam-48	513	45	hopper3	hopper3	NOUN
ejpam-48	513	46	ran	run	VERB
ejpam-48	513	47	empty	empty	ADJ
ejpam-48	513	48	,	,	PUNCT
ejpam-48	513	49	because	because	SCONJ
ejpam-48	513	50	once	once	SCONJ
ejpam-48	513	51	it	it	PRON
ejpam-48	513	52	ran	run	VERB
ejpam-48	513	53	empty	empty	ADJ
ejpam-48	513	54	,	,	PUNCT
ejpam-48	513	55	each	each	DET
ejpam-48	513	56	time	time	NOUN
ejpam-48	513	57	one	one	NUM
ejpam-48	513	58	ball	ball	NOUN
ejpam-48	513	59	in	in	ADP
ejpam-48	513	60	a	a	PRON
ejpam-48	513	61	would	would	AUX
ejpam-48	513	62	go	go	VERB
ejpam-48	513	63	into	into	ADP
ejpam-48	513	64	t	t	PROPN
ejpam-48	513	65	until	until	ADP
ejpam-48	513	66	a	a	DET
ejpam-48	513	67	ran	ran	NOUN
ejpam-48	513	68	out	out	ADP
ejpam-48	513	69	.	.	PUNCT
ejpam-48	514	1	under	under	ADP
ejpam-48	514	2	those	those	DET
ejpam-48	514	3	conditions	condition	NOUN
ejpam-48	514	4	t	t	NOUN
ejpam-48	514	5	would	would	AUX
ejpam-48	514	6	be	be	AUX
ejpam-48	514	7	every	every	DET
ejpam-48	514	8	ball	ball	NOUN
ejpam-48	514	9	and	and	CCONJ
ejpam-48	514	10	a	a	PRON
ejpam-48	514	11	would	would	AUX
ejpam-48	514	12	be	be	AUX
ejpam-48	514	13	empty	empty	ADJ
ejpam-48	514	14	along	along	ADP
ejpam-48	514	15	with	with	ADP
ejpam-48	514	16	the	the	DET
ejpam-48	514	17	hopper	hopper	NOUN
ejpam-48	514	18	.	.	PUNCT
ejpam-48	515	1	this	this	DET
ejpam-48	515	2	last	last	ADJ
ejpam-48	515	3	comment	comment	NOUN
ejpam-48	515	4	might	might	AUX
ejpam-48	515	5	appear	appear	VERB
ejpam-48	515	6	to	to	PART
ejpam-48	515	7	suggest	suggest	VERB
ejpam-48	515	8	that	that	SCONJ
ejpam-48	515	9	paul	paul	PROPN
ejpam-48	515	10	feels	feel	VERB
ejpam-48	515	11	that	that	SCONJ
ejpam-48	515	12	after	after	SCONJ
ejpam-48	515	13	our	our	PRON
ejpam-48	515	14	process	process	NOUN
ejpam-48	515	15	is	be	AUX
ejpam-48	515	16	complete	complete	ADJ
ejpam-48	515	17	,	,	PUNCT
ejpam-48	515	18	bin	bin	NOUN
ejpam-48	515	19	a	a	PRON
ejpam-48	515	20	is	be	AUX
ejpam-48	515	21	empty	empty	ADJ
ejpam-48	515	22	,	,	PUNCT
ejpam-48	515	23	which	which	PRON
ejpam-48	515	24	would	would	AUX
ejpam-48	515	25	be	be	AUX
ejpam-48	515	26	the	the	DET
ejpam-48	515	27	correct	correct	ADJ
ejpam-48	515	28	answer	answer	NOUN
ejpam-48	515	29	.	.	PUNCT
ejpam-48	516	1	however	however	ADV
ejpam-48	516	2	,	,	PUNCT
ejpam-48	516	3	in	in	ADP
ejpam-48	516	4	light	light	NOUN
ejpam-48	516	5	of	of	ADP
ejpam-48	516	6	his	his	PRON
ejpam-48	516	7	division	division	NOUN
ejpam-48	516	8	of	of	ADP
ejpam-48	516	9	∞,,2,1	∞,,2,1	NOUN
ejpam-48	516	10			NOUN
ejpam-48	516	11	into	into	ADP
ejpam-48	516	12	two	two	NUM
ejpam-48	516	13	parts	part	NOUN
ejpam-48	516	14	:	:	PUNCT
ejpam-48	516	15	1	1	NUM
ejpam-48	516	16	to∞	to∞	PROPN
ejpam-48	516	17	and	and	CCONJ
ejpam-48	516	18	1+n	1+n	NUM
ejpam-48	516	19	to	to	ADP
ejpam-48	516	20	∞2	∞2	PROPN
ejpam-48	516	21	,	,	PUNCT
ejpam-48	516	22	his	his	PRON
ejpam-48	516	23	use	use	NOUN
ejpam-48	516	24	of	of	ADP
ejpam-48	516	25	the	the	DET
ejpam-48	516	26	phrase	phrase	NOUN
ejpam-48	516	27	“	"	PUNCT
ejpam-48	516	28	once	once	SCONJ
ejpam-48	516	29	it	it	PRON
ejpam-48	516	30	(	(	PUNCT
ejpam-48	516	31	hopper	hopper	NOUN
ejpam-48	516	32	)	)	PUNCT
ejpam-48	516	33	ran	run	VERB
ejpam-48	516	34	empty	empty	ADJ
ejpam-48	516	35	,	,	PUNCT
ejpam-48	516	36	”	"	PUNCT
ejpam-48	516	37	together	together	ADV
ejpam-48	516	38	with	with	ADP
ejpam-48	516	39	his	his	PRON
ejpam-48	516	40	further	further	ADJ
ejpam-48	516	41	comments	comment	NOUN
ejpam-48	516	42	,	,	PUNCT
ejpam-48	516	43	suggests	suggest	VERB
ejpam-48	516	44	that	that	SCONJ
ejpam-48	516	45	paul	paul	PROPN
ejpam-48	516	46	’s	’s	PART
ejpam-48	516	47	conclusion	conclusion	NOUN
ejpam-48	516	48	is	be	AUX
ejpam-48	516	49	based	base	VERB
ejpam-48	516	50	on	on	ADP
ejpam-48	516	51	a	a	DET
ejpam-48	516	52	process	process	NOUN
ejpam-48	516	53	very	very	ADV
ejpam-48	516	54	different	different	ADJ
ejpam-48	516	55	from	from	ADP
ejpam-48	516	56	the	the	DET
ejpam-48	516	57	one	one	NOUN
ejpam-48	516	58	we	we	PRON
ejpam-48	516	59	posed	pose	VERB
ejpam-48	516	60	.	.	PUNCT
ejpam-48	517	1	consider	consider	VERB
ejpam-48	517	2	,	,	PUNCT
ejpam-48	517	3	for	for	ADP
ejpam-48	517	4	example	example	NOUN
ejpam-48	517	5	,	,	PUNCT
ejpam-48	517	6	his	his	PRON
ejpam-48	517	7	response	response	NOUN
ejpam-48	517	8	to	to	ADP
ejpam-48	517	9	the	the	DET
ejpam-48	517	10	same	same	ADJ
ejpam-48	517	11	question	question	NOUN
ejpam-48	517	12	about	about	ADP
ejpam-48	517	13	the	the	DET
ejpam-48	517	14	situation	situation	NOUN
ejpam-48	517	15	at	at	ADP
ejpam-48	517	16	noon	noon	NOUN
ejpam-48	517	17	:	:	PUNCT
ejpam-48	517	18	paul	paul	PROPN
ejpam-48	517	19	:	:	PUNCT
ejpam-48	517	20	it	it	PRON
ejpam-48	517	21	(	(	PUNCT
ejpam-48	517	22	hopper	hopper	NOUN
ejpam-48	517	23	)	)	PUNCT
ejpam-48	517	24	would	would	AUX
ejpam-48	517	25	have	have	VERB
ejpam-48	517	26	to	to	PART
ejpam-48	517	27	run	run	VERB
ejpam-48	517	28	out	out	ADP
ejpam-48	517	29	of	of	ADP
ejpam-48	517	30	balls	ball	NOUN
ejpam-48	517	31	,	,	PUNCT
ejpam-48	517	32	you	you	PRON
ejpam-48	517	33	would	would	AUX
ejpam-48	517	34	have	have	VERB
ejpam-48	517	35	to	to	PART
ejpam-48	517	36	keep	keep	VERB
ejpam-48	517	37	pushing	push	VERB
ejpam-48	517	38	the	the	DET
ejpam-48	517	39	button	button	NOUN
ejpam-48	517	40	even	even	ADV
ejpam-48	517	41	though	though	SCONJ
ejpam-48	517	42	it	it	PRON
ejpam-48	517	43	was	be	AUX
ejpam-48	517	44	empty	empty	ADJ
ejpam-48	517	45	and	and	CCONJ
ejpam-48	517	46	have	have	VERB
ejpam-48	517	47	one	one	NUM
ejpam-48	517	48	ball	ball	NOUN
ejpam-48	517	49	go	go	VERB
ejpam-48	517	50	to	to	ADP
ejpam-48	517	51	t	t	PROPN
ejpam-48	517	52	each	each	DET
ejpam-48	517	53	time	time	NOUN
ejpam-48	517	54	until	until	SCONJ
ejpam-48	517	55	you	you	PRON
ejpam-48	517	56	eventually	eventually	ADV
ejpam-48	517	57	empty	empty	VERB
ejpam-48	517	58	out	out	ADP
ejpam-48	517	59	a.	a.	NOUN
ejpam-48	517	60	and	and	CCONJ
ejpam-48	517	61	a	a	DET
ejpam-48	517	62	little	little	ADJ
ejpam-48	517	63	later	later	ADV
ejpam-48	518	1	,	,	PUNCT
ejpam-48	518	2	e.	e.	PROPN
ejpam-48	518	3	dubinsky	dubinsky	PROPN
ejpam-48	518	4	et	et	PROPN
ejpam-48	518	5	al	al	PROPN
ejpam-48	518	6	.	.	PUNCT
ejpam-48	518	7	/	/	SYM
ejpam-48	518	8	eur	eur	PROPN
ejpam-48	518	9	.	.	PUNCT
ejpam-48	519	1	j.	j.	PROPN
ejpam-48	519	2	pure	pure	PROPN
ejpam-48	519	3	.	.	PUNCT
ejpam-48	520	1	appl	appl	PROPN
ejpam-48	520	2	.	.	PUNCT
ejpam-48	520	3	math	math	NOUN
ejpam-48	520	4	.	.	PUNCT
ejpam-48	521	1	1	1	NUM
ejpam-48	521	2	,	,	PUNCT
ejpam-48	521	3	(	(	PUNCT
ejpam-48	521	4	2008	2008	NUM
ejpam-48	521	5	)	)	PUNCT
ejpam-48	521	6	,	,	PUNCT
ejpam-48	521	7	(	(	PUNCT
ejpam-48	521	8	99	99	NUM
ejpam-48	521	9	-	-	SYM
ejpam-48	521	10	121	121	NUM
ejpam-48	521	11	)	)	PUNCT
ejpam-48	521	12	117	117	NUM
ejpam-48	521	13	paul	paul	PROPN
ejpam-48	521	14	:	:	PUNCT
ejpam-48	521	15	…	…	PUNCT
ejpam-48	521	16	you	you	PRON
ejpam-48	521	17	’ll	’ll	AUX
ejpam-48	521	18	have	have	VERB
ejpam-48	521	19	to	to	PART
ejpam-48	521	20	keep	keep	VERB
ejpam-48	521	21	pushing	push	VERB
ejpam-48	521	22	and	and	CCONJ
ejpam-48	521	23	pushing	push	VERB
ejpam-48	521	24	until	until	SCONJ
ejpam-48	521	25	the	the	DET
ejpam-48	521	26	hopper	hopper	NOUN
ejpam-48	521	27	runs	run	VERB
ejpam-48	521	28	out	out	ADP
ejpam-48	521	29	and	and	CCONJ
ejpam-48	521	30	keep	keep	VERB
ejpam-48	521	31	going	go	VERB
ejpam-48	521	32	until	until	ADP
ejpam-48	521	33	a	a	DET
ejpam-48	521	34	empties	empty	NOUN
ejpam-48	521	35	out	out	ADP
ejpam-48	521	36	into	into	ADP
ejpam-48	521	37	t	t	PROPN
ejpam-48	521	38	…	…	PUNCT
ejpam-48	521	39	it	it	PRON
ejpam-48	521	40	is	be	AUX
ejpam-48	521	41	reasonable	reasonable	ADJ
ejpam-48	521	42	to	to	PART
ejpam-48	521	43	conclude	conclude	VERB
ejpam-48	521	44	from	from	ADP
ejpam-48	521	45	these	these	DET
ejpam-48	521	46	excerpts	excerpt	NOUN
ejpam-48	521	47	that	that	SCONJ
ejpam-48	521	48	paul	paul	PROPN
ejpam-48	521	49	has	have	AUX
ejpam-48	521	50	changed	change	VERB
ejpam-48	521	51	the	the	DET
ejpam-48	521	52	process	process	NOUN
ejpam-48	521	53	:	:	PUNCT
ejpam-48	521	54	for	for	ADP
ejpam-48	521	55	the	the	DET
ejpam-48	521	56	first	first	ADJ
ejpam-48	521	57	,	,	PUNCT
ejpam-48	521	58	the	the	DET
ejpam-48	521	59	holding	hold	VERB
ejpam-48	521	60	bin	bin	NOUN
ejpam-48	521	61	is	be	AUX
ejpam-48	521	62	emptied	empty	VERB
ejpam-48	521	63	,	,	PUNCT
ejpam-48	521	64	with	with	ADP
ejpam-48	521	65	balls	ball	NOUN
ejpam-48	521	66	1	1	NUM
ejpam-48	521	67	to	to	ADP
ejpam-48	521	68	∞	∞	PROPN
ejpam-48	521	69	in	in	ADP
ejpam-48	521	70	bin	bin	PROPN
ejpam-48	521	71	t	t	PROPN
ejpam-48	521	72	and	and	CCONJ
ejpam-48	521	73	balls	ball	VERB
ejpam-48	521	74	∞	∞	PROPN
ejpam-48	522	1	+	+	CCONJ
ejpam-48	522	2	1	1	NUM
ejpam-48	522	3	to	to	ADP
ejpam-48	522	4	2∞	2∞	NUM
ejpam-48	522	5	in	in	ADP
ejpam-48	522	6	bin	bin	PROPN
ejpam-48	522	7	a	a	NOUN
ejpam-48	522	8	;	;	PUNCT
ejpam-48	522	9	after	after	ADP
ejpam-48	522	10	that	that	PRON
ejpam-48	522	11	,	,	PUNCT
ejpam-48	522	12	he	he	PRON
ejpam-48	522	13	begins	begin	VERB
ejpam-48	522	14	a	a	DET
ejpam-48	522	15	new	new	ADJ
ejpam-48	522	16	process	process	NOUN
ejpam-48	522	17	in	in	ADP
ejpam-48	522	18	which	which	PRON
ejpam-48	522	19	the	the	DET
ejpam-48	522	20	balls	ball	NOUN
ejpam-48	522	21	that	that	PRON
ejpam-48	522	22	remain	remain	VERB
ejpam-48	522	23	in	in	ADP
ejpam-48	522	24	bin	bin	PROPN
ejpam-48	522	25	a	a	PRON
ejpam-48	522	26	are	be	AUX
ejpam-48	522	27	moved	move	VERB
ejpam-48	522	28	to	to	ADP
ejpam-48	522	29	bin	bin	PROPN
ejpam-48	522	30	t.	t.	PROPN
ejpam-48	522	31	therefore	therefore	ADV
ejpam-48	522	32	,	,	PUNCT
ejpam-48	522	33	in	in	ADP
ejpam-48	522	34	paul	paul	PROPN
ejpam-48	522	35	’s	’s	PART
ejpam-48	522	36	mind	mind	NOUN
ejpam-48	522	37	,	,	PUNCT
ejpam-48	522	38	at	at	ADP
ejpam-48	522	39	the	the	DET
ejpam-48	522	40	end	end	NOUN
ejpam-48	522	41	of	of	ADP
ejpam-48	522	42	the	the	DET
ejpam-48	522	43	process	process	NOUN
ejpam-48	522	44	of	of	ADP
ejpam-48	522	45	moving	move	VERB
ejpam-48	522	46	each	each	DET
ejpam-48	522	47	pair	pair	NOUN
ejpam-48	522	48	of	of	ADP
ejpam-48	522	49	balls	ball	NOUN
ejpam-48	522	50	from	from	ADP
ejpam-48	522	51	the	the	DET
ejpam-48	522	52	holding	hold	VERB
ejpam-48	522	53	bin	bin	NOUN
ejpam-48	522	54	to	to	ADP
ejpam-48	522	55	bin	bin	VERB
ejpam-48	522	56	a	a	PROPN
ejpam-48	522	57	and	and	CCONJ
ejpam-48	522	58	then	then	ADV
ejpam-48	522	59	,	,	PUNCT
ejpam-48	522	60	simultaneously	simultaneously	ADV
ejpam-48	522	61	,	,	PUNCT
ejpam-48	522	62	moving	move	VERB
ejpam-48	522	63	one	one	NUM
ejpam-48	522	64	of	of	ADP
ejpam-48	522	65	the	the	DET
ejpam-48	522	66	pair	pair	NOUN
ejpam-48	522	67	to	to	ADP
ejpam-48	522	68	bin	bin	PROPN
ejpam-48	522	69	t	t	PROPN
ejpam-48	522	70	,	,	PUNCT
ejpam-48	522	71	some	some	DET
ejpam-48	522	72	balls	ball	NOUN
ejpam-48	522	73	remain	remain	VERB
ejpam-48	522	74	in	in	ADP
ejpam-48	522	75	bin	bin	PROPN
ejpam-48	522	76	a	a	PRON
ejpam-48	522	77	that	that	PRON
ejpam-48	522	78	need	need	NOUN
ejpam-48	522	79	to	to	PART
ejpam-48	522	80	be	be	AUX
ejpam-48	522	81	moved	move	VERB
ejpam-48	522	82	to	to	ADP
ejpam-48	522	83	bin	bin	PROPN
ejpam-48	522	84	b	b	PROPN
ejpam-48	522	85	,	,	PUNCT
ejpam-48	522	86	which	which	PRON
ejpam-48	522	87	is	be	AUX
ejpam-48	522	88	not	not	PART
ejpam-48	522	89	the	the	DET
ejpam-48	522	90	correct	correct	ADJ
ejpam-48	522	91	answer	answer	NOUN
ejpam-48	522	92	.	.	PUNCT
ejpam-48	523	1	discussion	discussion	NOUN
ejpam-48	523	2	and	and	CCONJ
ejpam-48	523	3	conclusion	conclusion	NOUN
ejpam-48	523	4	in	in	ADP
ejpam-48	523	5	this	this	DET
ejpam-48	523	6	study	study	NOUN
ejpam-48	523	7	we	we	PRON
ejpam-48	523	8	used	use	VERB
ejpam-48	523	9	apos	apos	PROPN
ejpam-48	523	10	theory	theory	NOUN
ejpam-48	523	11	to	to	PART
ejpam-48	523	12	analyze	analyze	VERB
ejpam-48	523	13	students	student	NOUN
ejpam-48	523	14	’	'	PUNCT
ejpam-48	523	15	attempts	attempt	VERB
ejpam-48	523	16	to	to	PART
ejpam-48	523	17	construct	construct	VERB
ejpam-48	523	18	what	what	PRON
ejpam-48	523	19	we	we	PRON
ejpam-48	523	20	have	have	AUX
ejpam-48	523	21	called	call	VERB
ejpam-48	523	22	a	a	DET
ejpam-48	523	23	two	two	NUM
ejpam-48	523	24	-	-	PUNCT
ejpam-48	523	25	dimensional	dimensional	ADJ
ejpam-48	523	26	infinite	infinite	ADJ
ejpam-48	523	27	iterative	iterative	NOUN
ejpam-48	523	28	process	process	NOUN
ejpam-48	523	29	.	.	PUNCT
ejpam-48	524	1	motivated	motivate	VERB
ejpam-48	524	2	by	by	ADP
ejpam-48	524	3	the	the	DET
ejpam-48	524	4	empirically	empirically	ADV
ejpam-48	524	5	-	-	PUNCT
ejpam-48	524	6	based	base	VERB
ejpam-48	524	7	theoretical	theoretical	ADJ
ejpam-48	524	8	description	description	NOUN
ejpam-48	524	9	of	of	ADP
ejpam-48	524	10	infinite	infinite	ADJ
ejpam-48	524	11	iterative	iterative	NOUN
ejpam-48	524	12	processes	process	NOUN
ejpam-48	524	13	offered	offer	VERB
ejpam-48	524	14	in	in	ADP
ejpam-48	524	15	[	[	X
ejpam-48	524	16	4	4	NUM
ejpam-48	524	17	]	]	PUNCT
ejpam-48	524	18	,	,	PUNCT
ejpam-48	524	19	we	we	PRON
ejpam-48	524	20	developed	develop	VERB
ejpam-48	524	21	a	a	DET
ejpam-48	524	22	preliminary	preliminary	ADJ
ejpam-48	524	23	genetic	genetic	ADJ
ejpam-48	524	24	decomposition	decomposition	NOUN
ejpam-48	524	25	and	and	CCONJ
ejpam-48	524	26	then	then	ADV
ejpam-48	524	27	tested	test	VERB
ejpam-48	524	28	that	that	DET
ejpam-48	524	29	description	description	NOUN
ejpam-48	524	30	in	in	ADP
ejpam-48	524	31	interview	interview	NOUN
ejpam-48	524	32	sessions	session	NOUN
ejpam-48	524	33	with	with	ADP
ejpam-48	524	34	15	15	NUM
ejpam-48	524	35	college	college	NOUN
ejpam-48	524	36	students	student	NOUN
ejpam-48	524	37	to	to	PART
ejpam-48	524	38	whom	whom	PRON
ejpam-48	524	39	we	we	PRON
ejpam-48	524	40	posed	pose	VERB
ejpam-48	524	41	two	two	NUM
ejpam-48	524	42	versions	version	NOUN
ejpam-48	524	43	of	of	ADP
ejpam-48	524	44	the	the	DET
ejpam-48	524	45	tennis	tennis	NOUN
ejpam-48	524	46	ball	ball	NOUN
ejpam-48	524	47	problem	problem	NOUN
ejpam-48	524	48	.	.	PUNCT
ejpam-48	525	1	the	the	DET
ejpam-48	525	2	subjects	subject	NOUN
ejpam-48	525	3	represented	represent	VERB
ejpam-48	525	4	a	a	DET
ejpam-48	525	5	variety	variety	NOUN
ejpam-48	525	6	of	of	ADP
ejpam-48	525	7	backgrounds	background	NOUN
ejpam-48	525	8	:	:	PUNCT
ejpam-48	525	9	some	some	PRON
ejpam-48	525	10	had	have	AUX
ejpam-48	525	11	completed	complete	VERB
ejpam-48	525	12	the	the	DET
ejpam-48	525	13	calculus	calculus	NOUN
ejpam-48	525	14	sequence	sequence	NOUN
ejpam-48	525	15	and	and	CCONJ
ejpam-48	525	16	one	one	NUM
ejpam-48	525	17	or	or	CCONJ
ejpam-48	525	18	two	two	NUM
ejpam-48	525	19	courses	course	NOUN
ejpam-48	525	20	beyond	beyond	ADP
ejpam-48	525	21	that	that	DET
ejpam-48	525	22	sequence	sequence	NOUN
ejpam-48	525	23	,	,	PUNCT
ejpam-48	525	24	such	such	ADJ
ejpam-48	525	25	as	as	ADP
ejpam-48	525	26	discrete	discrete	ADJ
ejpam-48	525	27	mathematics	mathematic	NOUN
ejpam-48	525	28	or	or	CCONJ
ejpam-48	525	29	linear	linear	PROPN
ejpam-48	525	30	algebra	algebra	NOUN
ejpam-48	525	31	;	;	PUNCT
ejpam-48	525	32	others	other	NOUN
ejpam-48	525	33	had	have	AUX
ejpam-48	525	34	completed	complete	VERB
ejpam-48	525	35	numerous	numerous	ADJ
ejpam-48	525	36	upper	upper	ADJ
ejpam-48	525	37	division	division	NOUN
ejpam-48	525	38	mathematics	mathematic	NOUN
ejpam-48	525	39	courses	course	NOUN
ejpam-48	525	40	and	and	CCONJ
ejpam-48	525	41	were	be	AUX
ejpam-48	525	42	at	at	ADP
ejpam-48	525	43	or	or	CCONJ
ejpam-48	525	44	near	near	ADP
ejpam-48	525	45	the	the	DET
ejpam-48	525	46	end	end	NOUN
ejpam-48	525	47	of	of	ADP
ejpam-48	525	48	their	their	PRON
ejpam-48	525	49	undergraduate	undergraduate	NOUN
ejpam-48	525	50	careers	career	NOUN
ejpam-48	525	51	;	;	PUNCT
ejpam-48	525	52	and	and	CCONJ
ejpam-48	525	53	one	one	NUM
ejpam-48	525	54	student	student	NOUN
ejpam-48	525	55	was	be	AUX
ejpam-48	525	56	a	a	DET
ejpam-48	525	57	graduate	graduate	NOUN
ejpam-48	525	58	student	student	NOUN
ejpam-48	525	59	.	.	PUNCT
ejpam-48	526	1	of	of	ADP
ejpam-48	526	2	the	the	DET
ejpam-48	526	3	15	15	NUM
ejpam-48	526	4	interview	interview	NOUN
ejpam-48	526	5	subjects	subject	NOUN
ejpam-48	526	6	,	,	PUNCT
ejpam-48	526	7	only	only	ADV
ejpam-48	526	8	one	one	NUM
ejpam-48	526	9	supplied	supply	VERB
ejpam-48	526	10	a	a	DET
ejpam-48	526	11	correct	correct	ADJ
ejpam-48	526	12	mathematical	mathematical	ADJ
ejpam-48	526	13	solution	solution	NOUN
ejpam-48	526	14	.	.	PUNCT
ejpam-48	527	1	thus	thus	ADV
ejpam-48	527	2	,	,	PUNCT
ejpam-48	527	3	differences	difference	NOUN
ejpam-48	527	4	in	in	ADP
ejpam-48	527	5	mathematical	mathematical	ADJ
ejpam-48	527	6	background	background	NOUN
ejpam-48	527	7	did	do	AUX
ejpam-48	527	8	not	not	PART
ejpam-48	527	9	arise	arise	VERB
ejpam-48	527	10	as	as	ADP
ejpam-48	527	11	an	an	DET
ejpam-48	527	12	issue	issue	NOUN
ejpam-48	527	13	in	in	ADP
ejpam-48	527	14	students	student	NOUN
ejpam-48	527	15	’	'	PUNCT
ejpam-48	527	16	abilities	ability	NOUN
ejpam-48	527	17	to	to	PART
ejpam-48	527	18	solve	solve	VERB
ejpam-48	527	19	the	the	DET
ejpam-48	527	20	problem	problem	NOUN
ejpam-48	527	21	.	.	PUNCT
ejpam-48	528	1	outside	outside	ADP
ejpam-48	528	2	of	of	ADP
ejpam-48	528	3	“	"	PUNCT
ejpam-48	528	4	bridge	bridge	NOUN
ejpam-48	528	5	”	"	PUNCT
ejpam-48	528	6	courses	course	NOUN
ejpam-48	528	7	and	and	CCONJ
ejpam-48	528	8	courses	course	NOUN
ejpam-48	528	9	in	in	ADP
ejpam-48	528	10	elementary	elementary	ADJ
ejpam-48	528	11	set	set	PROPN
ejpam-48	528	12	theory	theory	NOUN
ejpam-48	528	13	,	,	PUNCT
ejpam-48	528	14	the	the	DET
ejpam-48	528	15	undergraduate	undergraduate	NOUN
ejpam-48	528	16	curriculum	curriculum	NOUN
ejpam-48	528	17	does	do	AUX
ejpam-48	528	18	not	not	PART
ejpam-48	528	19	address	address	VERB
ejpam-48	528	20	directly	directly	ADV
ejpam-48	528	21	the	the	DET
ejpam-48	528	22	issue	issue	NOUN
ejpam-48	528	23	of	of	ADP
ejpam-48	528	24	students	student	NOUN
ejpam-48	528	25	’	'	PUNCT
ejpam-48	528	26	cognitive	cognitive	ADJ
ejpam-48	528	27	difficulties	difficulty	NOUN
ejpam-48	528	28	associated	associate	VERB
ejpam-48	528	29	with	with	ADP
ejpam-48	528	30	the	the	DET
ejpam-48	528	31	construction	construction	NOUN
ejpam-48	528	32	of	of	ADP
ejpam-48	528	33	iterative	iterative	NOUN
ejpam-48	528	34	processes	process	NOUN
ejpam-48	528	35	and	and	CCONJ
ejpam-48	528	36	their	their	PRON
ejpam-48	528	37	states	state	NOUN
ejpam-48	528	38	at	at	ADP
ejpam-48	528	39	infinity	infinity	NOUN
ejpam-48	528	40	.	.	PUNCT
ejpam-48	529	1	the	the	DET
ejpam-48	529	2	results	result	NOUN
ejpam-48	529	3	of	of	ADP
ejpam-48	529	4	our	our	PRON
ejpam-48	529	5	analysis	analysis	NOUN
ejpam-48	529	6	demonstrate	demonstrate	VERB
ejpam-48	529	7	that	that	SCONJ
ejpam-48	529	8	mathematics	mathematic	NOUN
ejpam-48	529	9	instructors	instructor	NOUN
ejpam-48	529	10	can	can	AUX
ejpam-48	529	11	not	not	PART
ejpam-48	529	12	assume	assume	VERB
ejpam-48	529	13	that	that	SCONJ
ejpam-48	529	14	their	their	PRON
ejpam-48	529	15	students	student	NOUN
ejpam-48	529	16	can	can	AUX
ejpam-48	529	17	deal	deal	VERB
ejpam-48	529	18	successfully	successfully	ADV
ejpam-48	529	19	with	with	ADP
ejpam-48	529	20	situations	situation	NOUN
ejpam-48	529	21	involving	involve	VERB
ejpam-48	529	22	infinite	infinite	ADJ
ejpam-48	529	23	processes	process	NOUN
ejpam-48	529	24	without	without	ADP
ejpam-48	529	25	instructional	instructional	ADJ
ejpam-48	529	26	intervention	intervention	NOUN
ejpam-48	529	27	.	.	PUNCT
ejpam-48	530	1	the	the	DET
ejpam-48	530	2	results	result	NOUN
ejpam-48	530	3	of	of	ADP
ejpam-48	530	4	this	this	DET
ejpam-48	530	5	study	study	NOUN
ejpam-48	530	6	both	both	PRON
ejpam-48	530	7	confirm	confirm	VERB
ejpam-48	530	8	and	and	CCONJ
ejpam-48	530	9	extend	extend	VERB
ejpam-48	530	10	the	the	DET
ejpam-48	530	11	results	result	NOUN
ejpam-48	530	12	reported	report	VERB
ejpam-48	530	13	in	in	ADP
ejpam-48	530	14	[	[	X
ejpam-48	530	15	4	4	NUM
ejpam-48	530	16	]	]	PUNCT
ejpam-48	530	17	:	:	PUNCT
ejpam-48	530	18	confirmation	confirmation	NOUN
ejpam-48	530	19	in	in	ADP
ejpam-48	530	20	that	that	SCONJ
ejpam-48	530	21	the	the	DET
ejpam-48	530	22	students	student	NOUN
ejpam-48	530	23	’	’	PART
ejpam-48	530	24	abilities	ability	NOUN
ejpam-48	530	25	to	to	PART
ejpam-48	530	26	solve	solve	VERB
ejpam-48	530	27	,	,	PUNCT
ejpam-48	530	28	or	or	CCONJ
ejpam-48	530	29	to	to	PART
ejpam-48	530	30	make	make	VERB
ejpam-48	530	31	progress	progress	NOUN
ejpam-48	530	32	toward	toward	ADP
ejpam-48	530	33	,	,	PUNCT
ejpam-48	530	34	a	a	DET
ejpam-48	530	35	solution	solution	NOUN
ejpam-48	530	36	depended	depend	VERB
ejpam-48	530	37	on	on	ADP
ejpam-48	530	38	their	their	PRON
ejpam-48	530	39	ability	ability	NOUN
ejpam-48	530	40	to	to	PART
ejpam-48	530	41	see	see	VERB
ejpam-48	530	42	the	the	DET
ejpam-48	530	43	underlying	underlie	VERB
ejpam-48	530	44	iterative	iterative	NOUN
ejpam-48	530	45	processes	process	NOUN
ejpam-48	530	46	as	as	ADP
ejpam-48	530	47	completed	complete	VERB
ejpam-48	530	48	totalities	totality	NOUN
ejpam-48	530	49	and	and	CCONJ
ejpam-48	530	50	their	their	PRON
ejpam-48	530	51	states	state	NOUN
ejpam-48	530	52	at	at	ADP
ejpam-48	530	53	infinity	infinity	NOUN
ejpam-48	530	54	as	as	ADP
ejpam-48	530	55	transcendent	transcendent	ADJ
ejpam-48	530	56	objects	object	NOUN
ejpam-48	530	57	;	;	PUNCT
ejpam-48	530	58	extension	extension	NOUN
ejpam-48	530	59	,	,	PUNCT
ejpam-48	530	60	in	in	ADP
ejpam-48	530	61	that	that	SCONJ
ejpam-48	530	62	the	the	DET
ejpam-48	530	63	tennis	tennis	NOUN
ejpam-48	530	64	ball	ball	NOUN
ejpam-48	530	65	problem	problem	NOUN
ejpam-48	530	66	involves	involve	VERB
ejpam-48	530	67	the	the	DET
ejpam-48	530	68	coordination	coordination	NOUN
ejpam-48	530	69	of	of	ADP
ejpam-48	530	70	three	three	NUM
ejpam-48	530	71	infinite	infinite	ADJ
ejpam-48	530	72	processes	process	NOUN
ejpam-48	530	73	,	,	PUNCT
ejpam-48	530	74	to	to	ADP
ejpam-48	530	75	wit	wit	NOUN
ejpam-48	530	76	,	,	PUNCT
ejpam-48	530	77	iteration	iteration	NOUN
ejpam-48	530	78	throughn	throughn	NOUN
ejpam-48	530	79	,	,	PUNCT
ejpam-48	530	80	passage	passage	NOUN
ejpam-48	530	81	of	of	ADP
ejpam-48	530	82	time	time	NOUN
ejpam-48	530	83	,	,	PUNCT
ejpam-48	530	84	and	and	CCONJ
ejpam-48	530	85	movement	movement	NOUN
ejpam-48	530	86	of	of	ADP
ejpam-48	530	87	the	the	DET
ejpam-48	530	88	tennis	tennis	NOUN
ejpam-48	530	89	balls	ball	NOUN
ejpam-48	530	90	.	.	PUNCT
ejpam-48	531	1	successive	successive	ADJ
ejpam-48	531	2	subdivision	subdivision	NOUN
ejpam-48	531	3	of	of	ADP
ejpam-48	531	4	the	the	DET
ejpam-48	531	5	one	one	NUM
ejpam-48	531	6	minute	minute	NOUN
ejpam-48	531	7	time	time	NOUN
ejpam-48	531	8	interval	interval	NOUN
ejpam-48	531	9	before	before	ADP
ejpam-48	531	10	12	12	NUM
ejpam-48	531	11	noon	noon	NOUN
ejpam-48	531	12	is	be	AUX
ejpam-48	531	13	a	a	DET
ejpam-48	531	14	coordination	coordination	NOUN
ejpam-48	531	15	of	of	ADP
ejpam-48	531	16	an	an	DET
ejpam-48	531	17	iteration	iteration	NOUN
ejpam-48	531	18	throughnwith	throughnwith	ADP
ejpam-48	531	19	a	a	DET
ejpam-48	531	20	process	process	NOUN
ejpam-48	531	21	of	of	ADP
ejpam-48	531	22	subdivision	subdivision	NOUN
ejpam-48	531	23	of	of	ADP
ejpam-48	531	24	the	the	DET
ejpam-48	531	25	time	time	NOUN
ejpam-48	531	26	that	that	PRON
ejpam-48	531	27	remains	remain	VERB
ejpam-48	531	28	before	before	ADP
ejpam-48	531	29	12	12	NUM
ejpam-48	531	30	noon	noon	NOUN
ejpam-48	531	31	.	.	PUNCT
ejpam-48	532	1	the	the	DET
ejpam-48	532	2	movement	movement	NOUN
ejpam-48	532	3	of	of	ADP
ejpam-48	532	4	the	the	DET
ejpam-48	532	5	tennis	tennis	NOUN
ejpam-48	532	6	balls	ball	NOUN
ejpam-48	532	7	is	be	AUX
ejpam-48	532	8	a	a	DET
ejpam-48	532	9	coordination	coordination	NOUN
ejpam-48	532	10	of	of	ADP
ejpam-48	532	11	an	an	DET
ejpam-48	532	12	iteration	iteration	NOUN
ejpam-48	532	13	throughnwith	throughnwith	ADP
ejpam-48	532	14	the	the	DET
ejpam-48	532	15	process	process	NOUN
ejpam-48	532	16	of	of	ADP
ejpam-48	532	17	moving	move	VERB
ejpam-48	532	18	the	the	DET
ejpam-48	532	19	balls	ball	NOUN
ejpam-48	532	20	.	.	PUNCT
ejpam-48	533	1	the	the	DET
ejpam-48	533	2	two	two	NUM
ejpam-48	533	3	iterative	iterative	NOUN
ejpam-48	533	4	processes	process	NOUN
ejpam-48	533	5	are	be	AUX
ejpam-48	533	6	then	then	ADV
ejpam-48	533	7	coordinated	coordinate	VERB
ejpam-48	533	8	into	into	ADP
ejpam-48	533	9	a	a	DET
ejpam-48	533	10	single	single	ADJ
ejpam-48	533	11	two	two	NUM
ejpam-48	533	12	-	-	PUNCT
ejpam-48	533	13	dimensional	dimensional	ADJ
ejpam-48	533	14	iterative	iterative	NOUN
ejpam-48	533	15	process	process	NOUN
ejpam-48	533	16	.	.	PUNCT
ejpam-48	534	1	encapsulation	encapsulation	NOUN
ejpam-48	534	2	of	of	ADP
ejpam-48	534	3	the	the	DET
ejpam-48	534	4	coordinated	coordinate	VERB
ejpam-48	534	5	iterative	iterative	NOUN
ejpam-48	534	6	process	process	NOUN
ejpam-48	534	7	yields	yield	VERB
ejpam-48	534	8	a	a	DET
ejpam-48	534	9	transcendent	transcendent	ADJ
ejpam-48	534	10	object	object	NOUN
ejpam-48	534	11	.	.	PUNCT
ejpam-48	535	1	sam	sam	PROPN
ejpam-48	535	2	,	,	PUNCT
ejpam-48	535	3	the	the	DET
ejpam-48	535	4	student	student	NOUN
ejpam-48	535	5	who	who	PRON
ejpam-48	535	6	solved	solve	VERB
ejpam-48	535	7	the	the	DET
ejpam-48	535	8	problem	problem	NOUN
ejpam-48	535	9	correctly	correctly	ADV
ejpam-48	535	10	,	,	PUNCT
ejpam-48	535	11	appeared	appear	VERB
ejpam-48	535	12	to	to	PART
ejpam-48	535	13	make	make	VERB
ejpam-48	535	14	the	the	DET
ejpam-48	535	15	mental	mental	ADJ
ejpam-48	535	16	constructions	construction	NOUN
ejpam-48	535	17	called	call	VERB
ejpam-48	535	18	for	for	ADP
ejpam-48	535	19	by	by	ADP
ejpam-48	535	20	the	the	DET
ejpam-48	535	21	preliminary	preliminary	ADJ
ejpam-48	535	22	theoretical	theoretical	ADJ
ejpam-48	535	23	analysis	analysis	NOUN
ejpam-48	535	24	.	.	PUNCT
ejpam-48	536	1	for	for	ADP
ejpam-48	536	2	the	the	DET
ejpam-48	536	3	process	process	NOUN
ejpam-48	536	4	of	of	ADP
ejpam-48	536	5	the	the	DET
ejpam-48	536	6	subdivision	subdivision	NOUN
ejpam-48	536	7	of	of	ADP
ejpam-48	536	8	time	time	NOUN
ejpam-48	536	9	,	,	PUNCT
ejpam-48	536	10	he	he	PRON
ejpam-48	536	11	viewed	view	VERB
ejpam-48	536	12	12	12	NUM
ejpam-48	536	13	noon	noon	NOUN
ejpam-48	536	14	as	as	ADP
ejpam-48	536	15	the	the	DET
ejpam-48	536	16	transcendent	transcendent	ADJ
ejpam-48	536	17	object	object	NOUN
ejpam-48	536	18	that	that	PRON
ejpam-48	536	19	indicated	indicate	VERB
ejpam-48	536	20	“	"	PUNCT
ejpam-48	536	21	get[ting	get[te	VERB
ejpam-48	536	22	]	]	PUNCT
ejpam-48	536	23	through	through	ADP
ejpam-48	536	24	all	all	DET
ejpam-48	536	25	the	the	DET
ejpam-48	536	26	numbers	number	NOUN
ejpam-48	536	27	.	.	PUNCT
ejpam-48	536	28	”	"	PUNCT
ejpam-48	537	1	in	in	ADP
ejpam-48	537	2	particular	particular	ADJ
ejpam-48	537	3	,	,	PUNCT
ejpam-48	537	4	he	he	PRON
ejpam-48	537	5	coordinated	coordinate	VERB
ejpam-48	537	6	the	the	DET
ejpam-48	537	7	time	time	NOUN
ejpam-48	537	8	process	process	NOUN
ejpam-48	537	9	,	,	PUNCT
ejpam-48	537	10	which	which	PRON
ejpam-48	537	11	he	he	PRON
ejpam-48	537	12	saw	see	VERB
ejpam-48	537	13	as	as	ADV
ejpam-48	537	14	complete	complete	ADJ
ejpam-48	537	15	,	,	PUNCT
ejpam-48	537	16	with	with	ADP
ejpam-48	537	17	iteration	iteration	NOUN
ejpam-48	537	18	throughn	throughn	NOUN
ejpam-48	537	19	.	.	PUNCT
ejpam-48	538	1	this	this	PRON
ejpam-48	538	2	enabled	enable	VERB
ejpam-48	538	3	him	he	PRON
ejpam-48	538	4	to	to	PART
ejpam-48	538	5	see	see	VERB
ejpam-48	538	6	the	the	DET
ejpam-48	538	7	iteration	iteration	NOUN
ejpam-48	538	8	throughnas	throughna	NOUN
ejpam-48	538	9	a	a	DET
ejpam-48	538	10	completed	complete	VERB
ejpam-48	538	11	totality	totality	NOUN
ejpam-48	538	12	.	.	PUNCT
ejpam-48	539	1	he	he	PRON
ejpam-48	539	2	also	also	ADV
ejpam-48	539	3	coordinated	coordinate	VERB
ejpam-48	539	4	the	the	DET
ejpam-48	539	5	time	time	NOUN
ejpam-48	539	6	process	process	NOUN
ejpam-48	539	7	with	with	ADP
ejpam-48	539	8	the	the	DET
ejpam-48	539	9	process	process	NOUN
ejpam-48	539	10	of	of	ADP
ejpam-48	539	11	moving	move	VERB
ejpam-48	539	12	the	the	DET
ejpam-48	539	13	tennis	tennis	NOUN
ejpam-48	539	14	balls	ball	NOUN
ejpam-48	539	15	.	.	PUNCT
ejpam-48	540	1	in	in	ADP
ejpam-48	540	2	noting	note	VERB
ejpam-48	540	3	that	that	SCONJ
ejpam-48	540	4	“	"	PUNCT
ejpam-48	540	5	you	you	PRON
ejpam-48	540	6	do	do	VERB
ejpam-48	540	7	that	that	PRON
ejpam-48	540	8	an	an	DET
ejpam-48	540	9	infinite	infinite	ADJ
ejpam-48	540	10	amount	amount	NOUN
ejpam-48	540	11	of	of	ADP
ejpam-48	540	12	times	time	NOUN
ejpam-48	540	13	,	,	PUNCT
ejpam-48	540	14	”	"	PUNCT
ejpam-48	540	15	he	he	PRON
ejpam-48	540	16	realized	realize	VERB
ejpam-48	540	17	that	that	SCONJ
ejpam-48	540	18	the	the	DET
ejpam-48	540	19	coordination	coordination	NOUN
ejpam-48	540	20	continues	continue	VERB
ejpam-48	540	21	indefinitely	indefinitely	ADV
ejpam-48	540	22	.	.	PUNCT
ejpam-48	541	1	in	in	ADP
ejpam-48	541	2	repeated	repeat	VERB
ejpam-48	541	3	efforts	effort	NOUN
ejpam-48	541	4	to	to	PART
ejpam-48	541	5	convince	convince	VERB
ejpam-48	541	6	his	his	PRON
ejpam-48	541	7	partner	partner	NOUN
ejpam-48	541	8	cassie	cassie	NOUN
ejpam-48	541	9	that	that	PRON
ejpam-48	541	10	bin	bin	PROPN
ejpam-48	541	11	a	a	PRON
ejpam-48	541	12	is	be	AUX
ejpam-48	541	13	empty	empty	ADJ
ejpam-48	541	14	at	at	ADP
ejpam-48	541	15	12	12	NUM
ejpam-48	541	16	noon	noon	NOUN
ejpam-48	541	17	,	,	PUNCT
ejpam-48	541	18	sam	sam	PROPN
ejpam-48	541	19	gave	give	VERB
ejpam-48	541	20	evidence	evidence	NOUN
ejpam-48	541	21	of	of	ADP
ejpam-48	541	22	seeing	see	VERB
ejpam-48	541	23	the	the	DET
ejpam-48	541	24	coordinated	coordinate	VERB
ejpam-48	541	25	process	process	NOUN
ejpam-48	541	26	as	as	ADV
ejpam-48	541	27	complete	complete	ADJ
ejpam-48	541	28	.	.	PUNCT
ejpam-48	542	1	at	at	ADP
ejpam-48	542	2	one	one	NUM
ejpam-48	542	3	point	point	NOUN
ejpam-48	542	4	,	,	PUNCT
ejpam-48	542	5	he	he	PRON
ejpam-48	542	6	used	use	VERB
ejpam-48	542	7	the	the	DET
ejpam-48	542	8	phrase	phrase	NOUN
ejpam-48	542	9	,	,	PUNCT
ejpam-48	542	10	“	"	PUNCT
ejpam-48	542	11	after	after	SCONJ
ejpam-48	542	12	you	you	PRON
ejpam-48	542	13	do	do	VERB
ejpam-48	542	14	infinity	infinity	NOUN
ejpam-48	542	15	iterations	iteration	NOUN
ejpam-48	542	16	,	,	PUNCT
ejpam-48	542	17	”	"	PUNCT
ejpam-48	542	18	to	to	PART
ejpam-48	542	19	describe	describe	VERB
ejpam-48	542	20	what	what	PRON
ejpam-48	542	21	happens	happen	VERB
ejpam-48	542	22	at	at	ADP
ejpam-48	542	23	12	12	NUM
ejpam-48	542	24	noon	noon	NOUN
ejpam-48	542	25	.	.	PUNCT
ejpam-48	543	1	in	in	ADP
ejpam-48	543	2	response	response	NOUN
ejpam-48	543	3	to	to	ADP
ejpam-48	543	4	one	one	NUM
ejpam-48	543	5	of	of	ADP
ejpam-48	543	6	cassie	cassie	PROPN
ejpam-48	543	7	’s	’s	PART
ejpam-48	543	8	questions	question	NOUN
ejpam-48	543	9	,	,	PUNCT
ejpam-48	543	10	“	"	PUNCT
ejpam-48	543	11	we	we	PRON
ejpam-48	543	12	’re	’re	AUX
ejpam-48	543	13	saying	say	VERB
ejpam-48	543	14	there	there	PRON
ejpam-48	543	15	’s	’	VERB
ejpam-48	543	16	nothing	nothing	PRON
ejpam-48	543	17	after	after	ADP
ejpam-48	543	18	infinity	infinity	NOUN
ejpam-48	543	19	and	and	CCONJ
ejpam-48	543	20	that	that	PRON
ejpam-48	543	21	’s	’	VERB
ejpam-48	543	22	why	why	SCONJ
ejpam-48	543	23	this	this	PRON
ejpam-48	543	24	is	be	AUX
ejpam-48	543	25	empty	empty	ADJ
ejpam-48	543	26	?	?	PUNCT
ejpam-48	543	27	”	"	PUNCT
ejpam-48	543	28	,	,	PUNCT
ejpam-48	543	29	sam	sam	PROPN
ejpam-48	543	30	acknowledged	acknowledge	VERB
ejpam-48	543	31	that	that	SCONJ
ejpam-48	543	32	this	this	PRON
ejpam-48	543	33	was	be	AUX
ejpam-48	543	34	in	in	ADP
ejpam-48	543	35	fact	fact	NOUN
ejpam-48	543	36	his	his	PRON
ejpam-48	543	37	view	view	NOUN
ejpam-48	543	38	.	.	PUNCT
ejpam-48	544	1	such	such	DET
ejpam-48	544	2	a	a	DET
ejpam-48	544	3	conception	conception	NOUN
ejpam-48	544	4	proved	prove	VERB
ejpam-48	544	5	essential	essential	ADJ
ejpam-48	544	6	;	;	PUNCT
ejpam-48	544	7	it	it	PRON
ejpam-48	544	8	enabled	enable	VERB
ejpam-48	544	9	e.	e.	PROPN
ejpam-48	544	10	dubinsky	dubinsky	PROPN
ejpam-48	544	11	et	et	PROPN
ejpam-48	544	12	al	al	PROPN
ejpam-48	544	13	.	.	PUNCT
ejpam-48	544	14	/	/	SYM
ejpam-48	544	15	eur	eur	PROPN
ejpam-48	544	16	.	.	PUNCT
ejpam-48	545	1	j.	j.	PROPN
ejpam-48	545	2	pure	pure	PROPN
ejpam-48	545	3	.	.	PUNCT
ejpam-48	546	1	appl	appl	PROPN
ejpam-48	546	2	.	.	PUNCT
ejpam-48	546	3	math	math	NOUN
ejpam-48	546	4	.	.	PUNCT
ejpam-48	547	1	1	1	NUM
ejpam-48	547	2	,	,	PUNCT
ejpam-48	547	3	(	(	PUNCT
ejpam-48	547	4	2008	2008	NUM
ejpam-48	547	5	)	)	PUNCT
ejpam-48	547	6	,	,	PUNCT
ejpam-48	547	7	(	(	PUNCT
ejpam-48	547	8	99	99	NUM
ejpam-48	547	9	-	-	SYM
ejpam-48	547	10	121	121	NUM
ejpam-48	547	11	)	)	PUNCT
ejpam-48	547	12	118	118	NUM
ejpam-48	547	13	sam	sam	PROPN
ejpam-48	547	14	to	to	PART
ejpam-48	547	15	see	see	VERB
ejpam-48	547	16	the	the	DET
ejpam-48	547	17	correspondence	correspondence	NOUN
ejpam-48	548	1	t	t	PROPN
ejpam-48	548	2	:	:	PUNCT
ejpam-48	548	3	→nn	→nn	X
ejpam-48	548	4	in	in	ADP
ejpam-48	548	5	totality	totality	NOUN
ejpam-48	548	6	and	and	CCONJ
ejpam-48	548	7	to	to	PART
ejpam-48	548	8	conclude	conclude	VERB
ejpam-48	548	9	that	that	SCONJ
ejpam-48	548	10	bin	bin	PROPN
ejpam-48	548	11	a	a	PRON
ejpam-48	548	12	is	be	AUX
ejpam-48	548	13	empty	empty	ADJ
ejpam-48	548	14	at	at	ADP
ejpam-48	548	15	12	12	NUM
ejpam-48	548	16	noon	noon	NOUN
ejpam-48	548	17	.	.	PUNCT
ejpam-48	549	1	one	one	NUM
ejpam-48	549	2	aspect	aspect	NOUN
ejpam-48	549	3	of	of	ADP
ejpam-48	549	4	sam	sam	PROPN
ejpam-48	549	5	’s	’s	PART
ejpam-48	549	6	thinking	thinking	NOUN
ejpam-48	549	7	suggests	suggest	VERB
ejpam-48	549	8	a	a	DET
ejpam-48	549	9	possible	possible	ADJ
ejpam-48	549	10	refinement	refinement	NOUN
ejpam-48	549	11	of	of	ADP
ejpam-48	549	12	the	the	DET
ejpam-48	549	13	preliminary	preliminary	ADJ
ejpam-48	549	14	genetic	genetic	ADJ
ejpam-48	549	15	decomposition	decomposition	NOUN
ejpam-48	549	16	.	.	PUNCT
ejpam-48	550	1	in	in	ADP
ejpam-48	550	2	their	their	PRON
ejpam-48	550	3	description	description	NOUN
ejpam-48	550	4	of	of	ADP
ejpam-48	550	5	iterative	iterative	NOUN
ejpam-48	550	6	processes	process	NOUN
ejpam-48	550	7	,	,	PUNCT
ejpam-48	550	8	brown	brown	PROPN
ejpam-48	550	9	et	et	PROPN
ejpam-48	550	10	al	al	PROPN
ejpam-48	550	11	.	.	PUNCT
ejpam-48	551	1	[	[	X
ejpam-48	551	2	4	4	X
ejpam-48	551	3	]	]	PUNCT
ejpam-48	551	4	suggested	suggest	VERB
ejpam-48	551	5	that	that	SCONJ
ejpam-48	551	6	iteration	iteration	NOUN
ejpam-48	551	7	throughn	throughn	NOUN
ejpam-48	551	8	,	,	PUNCT
ejpam-48	551	9	with	with	ADP
ejpam-48	551	10	∞	∞	PROPN
ejpam-48	551	11	as	as	ADP
ejpam-48	551	12	the	the	DET
ejpam-48	551	13	transcendent	transcendent	ADJ
ejpam-48	551	14	object	object	NOUN
ejpam-48	551	15	,	,	PUNCT
ejpam-48	551	16	precedes	precede	VERB
ejpam-48	551	17	the	the	DET
ejpam-48	551	18	mental	mental	ADJ
ejpam-48	551	19	construction	construction	NOUN
ejpam-48	551	20	of	of	ADP
ejpam-48	551	21	an	an	DET
ejpam-48	551	22	infinite	infinite	ADJ
ejpam-48	551	23	iterative	iterative	NOUN
ejpam-48	551	24	process	process	NOUN
ejpam-48	551	25	indexed	index	VERB
ejpam-48	551	26	byn	byn	PROPN
ejpam-48	551	27	.	.	PUNCT
ejpam-48	552	1	sam	sam	PROPN
ejpam-48	552	2	could	could	AUX
ejpam-48	552	3	no	no	ADV
ejpam-48	552	4	doubt	doubt	ADV
ejpam-48	552	5	iterate	iterate	VERB
ejpam-48	552	6	throughn	throughn	NOUN
ejpam-48	552	7	;	;	PUNCT
ejpam-48	552	8	he	he	PRON
ejpam-48	552	9	easily	easily	ADV
ejpam-48	552	10	described	describe	VERB
ejpam-48	552	11	the	the	DET
ejpam-48	552	12	subdivision	subdivision	NOUN
ejpam-48	552	13	steps	step	NOUN
ejpam-48	552	14	and	and	CCONJ
ejpam-48	552	15	their	their	PRON
ejpam-48	552	16	relation	relation	NOUN
ejpam-48	552	17	to	to	ADP
ejpam-48	552	18	the	the	DET
ejpam-48	552	19	natural	natural	ADJ
ejpam-48	552	20	numbers	number	NOUN
ejpam-48	552	21	.	.	PUNCT
ejpam-48	553	1	however	however	ADV
ejpam-48	553	2	,	,	PUNCT
ejpam-48	553	3	when	when	SCONJ
ejpam-48	553	4	asked	ask	VERB
ejpam-48	553	5	about	about	ADP
ejpam-48	553	6	the	the	DET
ejpam-48	553	7	movement	movement	NOUN
ejpam-48	553	8	of	of	ADP
ejpam-48	553	9	the	the	DET
ejpam-48	553	10	tennis	tennis	NOUN
ejpam-48	553	11	balls	ball	NOUN
ejpam-48	553	12	in	in	ADP
ejpam-48	553	13	isolation	isolation	NOUN
ejpam-48	553	14	from	from	ADP
ejpam-48	553	15	the	the	DET
ejpam-48	553	16	time	time	NOUN
ejpam-48	553	17	process	process	NOUN
ejpam-48	553	18	,	,	PUNCT
ejpam-48	553	19	sam	sam	PROPN
ejpam-48	553	20	had	have	VERB
ejpam-48	553	21	difficulty	difficulty	NOUN
ejpam-48	553	22	seeing	see	VERB
ejpam-48	553	23	the	the	DET
ejpam-48	553	24	process	process	NOUN
ejpam-48	553	25	of	of	ADP
ejpam-48	553	26	moving	move	VERB
ejpam-48	553	27	the	the	DET
ejpam-48	553	28	balls	ball	NOUN
ejpam-48	553	29	as	as	ADP
ejpam-48	553	30	complete	complete	ADJ
ejpam-48	553	31	.	.	PUNCT
ejpam-48	554	1	the	the	DET
ejpam-48	554	2	connection	connection	NOUN
ejpam-48	554	3	to	to	ADP
ejpam-48	554	4	time	time	NOUN
ejpam-48	554	5	seemed	seem	VERB
ejpam-48	554	6	to	to	PART
ejpam-48	554	7	alleviate	alleviate	VERB
ejpam-48	554	8	this	this	DET
ejpam-48	554	9	difficulty	difficulty	NOUN
ejpam-48	554	10	.	.	PUNCT
ejpam-48	555	1	in	in	ADP
ejpam-48	555	2	particular	particular	ADJ
ejpam-48	555	3	,	,	PUNCT
ejpam-48	555	4	12	12	NUM
ejpam-48	555	5	noon	noon	NOUN
ejpam-48	555	6	denoted	denote	VERB
ejpam-48	555	7	a	a	DET
ejpam-48	555	8	transcendent	transcendent	NOUN
ejpam-48	555	9	“	"	PUNCT
ejpam-48	555	10	next	next	ADJ
ejpam-48	555	11	”	"	PUNCT
ejpam-48	555	12	step	step	NOUN
ejpam-48	555	13	that	that	PRON
ejpam-48	555	14	helped	help	VERB
ejpam-48	555	15	sam	sam	PROPN
ejpam-48	555	16	to	to	PART
ejpam-48	555	17	see	see	VERB
ejpam-48	555	18	the	the	DET
ejpam-48	555	19	iteration	iteration	NOUN
ejpam-48	555	20	throughnas	throughna	NOUN
ejpam-48	555	21	a	a	DET
ejpam-48	555	22	completed	complete	VERB
ejpam-48	555	23	totality	totality	NOUN
ejpam-48	555	24	.	.	PUNCT
ejpam-48	556	1	thus	thus	ADV
ejpam-48	556	2	,	,	PUNCT
ejpam-48	556	3	the	the	DET
ejpam-48	556	4	ability	ability	NOUN
ejpam-48	556	5	to	to	PART
ejpam-48	556	6	see	see	VERB
ejpam-48	556	7	the	the	DET
ejpam-48	556	8	iteration	iteration	NOUN
ejpam-48	556	9	throughnas	throughna	NOUN
ejpam-48	556	10	a	a	DET
ejpam-48	556	11	completed	complete	VERB
ejpam-48	556	12	totality	totality	NOUN
ejpam-48	556	13	may	may	AUX
ejpam-48	556	14	be	be	AUX
ejpam-48	556	15	facilitated	facilitate	VERB
ejpam-48	556	16	by	by	ADP
ejpam-48	556	17	coordinating	coordinate	VERB
ejpam-48	556	18	it	it	PRON
ejpam-48	556	19	with	with	ADP
ejpam-48	556	20	an	an	DET
ejpam-48	556	21	iterative	iterative	NOUN
ejpam-48	556	22	process	process	NOUN
ejpam-48	556	23	whose	whose	DET
ejpam-48	556	24	transcendent	transcendent	ADJ
ejpam-48	556	25	object	object	NOUN
ejpam-48	556	26	is	be	AUX
ejpam-48	556	27	readily	readily	ADV
ejpam-48	556	28	apparent	apparent	ADJ
ejpam-48	556	29	.	.	PUNCT
ejpam-48	557	1	for	for	ADP
ejpam-48	557	2	the	the	DET
ejpam-48	557	3	other	other	ADJ
ejpam-48	557	4	students	student	NOUN
ejpam-48	557	5	,	,	PUNCT
ejpam-48	557	6	the	the	DET
ejpam-48	557	7	time	time	NOUN
ejpam-48	557	8	process	process	NOUN
ejpam-48	557	9	did	do	AUX
ejpam-48	557	10	not	not	PART
ejpam-48	557	11	help	help	VERB
ejpam-48	557	12	their	their	PRON
ejpam-48	557	13	thinking	thinking	NOUN
ejpam-48	557	14	.	.	PUNCT
ejpam-48	558	1	in	in	ADP
ejpam-48	558	2	fact	fact	NOUN
ejpam-48	558	3	,	,	PUNCT
ejpam-48	558	4	audrey	audrey	PROPN
ejpam-48	558	5	,	,	PUNCT
ejpam-48	558	6	david	david	PROPN
ejpam-48	558	7	,	,	PUNCT
ejpam-48	558	8	stan	stan	PROPN
ejpam-48	558	9	,	,	PUNCT
ejpam-48	558	10	and	and	CCONJ
ejpam-48	558	11	paul	paul	PROPN
ejpam-48	558	12	did	do	AUX
ejpam-48	558	13	not	not	PART
ejpam-48	558	14	consider	consider	VERB
ejpam-48	558	15	the	the	DET
ejpam-48	558	16	time	time	NOUN
ejpam-48	558	17	process	process	NOUN
ejpam-48	558	18	much	much	ADJ
ejpam-48	558	19	in	in	ADP
ejpam-48	558	20	their	their	PRON
ejpam-48	558	21	efforts	effort	NOUN
ejpam-48	558	22	to	to	PART
ejpam-48	558	23	solve	solve	VERB
ejpam-48	558	24	the	the	DET
ejpam-48	558	25	problem	problem	NOUN
ejpam-48	558	26	.	.	PUNCT
ejpam-48	559	1	beyond	beyond	ADP
ejpam-48	559	2	finitely	finitely	ADV
ejpam-48	559	3	many	many	ADJ
ejpam-48	559	4	steps	step	NOUN
ejpam-48	559	5	,	,	PUNCT
ejpam-48	559	6	none	none	NOUN
ejpam-48	559	7	supplied	supply	VERB
ejpam-48	559	8	much	much	ADJ
ejpam-48	559	9	evidence	evidence	NOUN
ejpam-48	559	10	of	of	ADP
ejpam-48	559	11	coordinating	coordinate	VERB
ejpam-48	559	12	the	the	DET
ejpam-48	559	13	passage	passage	NOUN
ejpam-48	559	14	of	of	ADP
ejpam-48	559	15	time	time	NOUN
ejpam-48	559	16	with	with	ADP
ejpam-48	559	17	the	the	DET
ejpam-48	559	18	process	process	NOUN
ejpam-48	559	19	of	of	ADP
ejpam-48	559	20	moving	move	VERB
ejpam-48	559	21	the	the	DET
ejpam-48	559	22	tennis	tennis	NOUN
ejpam-48	559	23	balls	ball	NOUN
ejpam-48	559	24	.	.	PUNCT
ejpam-48	560	1	apos	apos	PROPN
ejpam-48	560	2	theory	theory	NOUN
ejpam-48	560	3	may	may	AUX
ejpam-48	560	4	help	help	VERB
ejpam-48	560	5	to	to	PART
ejpam-48	560	6	explain	explain	VERB
ejpam-48	560	7	this	this	PRON
ejpam-48	560	8	.	.	PUNCT
ejpam-48	561	1	in	in	ADP
ejpam-48	561	2	order	order	NOUN
ejpam-48	561	3	to	to	PART
ejpam-48	561	4	coordinate	coordinate	VERB
ejpam-48	561	5	two	two	NUM
ejpam-48	561	6	processes	process	NOUN
ejpam-48	561	7	,	,	PUNCT
ejpam-48	561	8	both	both	PRON
ejpam-48	561	9	must	must	AUX
ejpam-48	561	10	be	be	AUX
ejpam-48	561	11	fully	fully	ADV
ejpam-48	561	12	constructed	construct	VERB
ejpam-48	561	13	and	and	CCONJ
ejpam-48	561	14	conceived	conceive	VERB
ejpam-48	561	15	as	as	ADP
ejpam-48	561	16	complete	complete	ADJ
ejpam-48	561	17	.	.	PUNCT
ejpam-48	562	1	the	the	DET
ejpam-48	562	2	students	student	NOUN
ejpam-48	562	3	who	who	PRON
ejpam-48	562	4	saw	see	VERB
ejpam-48	562	5	the	the	DET
ejpam-48	562	6	passage	passage	NOUN
ejpam-48	562	7	of	of	ADP
ejpam-48	562	8	time	time	NOUN
ejpam-48	562	9	as	as	ADP
ejpam-48	562	10	incomplete	incomplete	ADJ
ejpam-48	562	11	also	also	ADV
ejpam-48	562	12	had	have	VERB
ejpam-48	562	13	difficulty	difficulty	NOUN
ejpam-48	562	14	seeing	see	VERB
ejpam-48	562	15	the	the	DET
ejpam-48	562	16	movement	movement	NOUN
ejpam-48	562	17	of	of	ADP
ejpam-48	562	18	the	the	DET
ejpam-48	562	19	balls	ball	NOUN
ejpam-48	562	20	as	as	ADP
ejpam-48	562	21	complete	complete	ADJ
ejpam-48	562	22	.	.	PUNCT
ejpam-48	563	1	as	as	ADP
ejpam-48	563	2	a	a	DET
ejpam-48	563	3	result	result	NOUN
ejpam-48	563	4	,	,	PUNCT
ejpam-48	563	5	coordination	coordination	NOUN
ejpam-48	563	6	was	be	AUX
ejpam-48	563	7	likely	likely	ADV
ejpam-48	563	8	impossible	impossible	ADJ
ejpam-48	563	9	,	,	PUNCT
ejpam-48	563	10	at	at	ADP
ejpam-48	563	11	least	least	ADJ
ejpam-48	563	12	beyond	beyond	ADP
ejpam-48	563	13	finitely	finitely	ADV
ejpam-48	563	14	many	many	ADJ
ejpam-48	563	15	steps	step	NOUN
ejpam-48	563	16	.	.	PUNCT
ejpam-48	564	1	however	however	ADV
ejpam-48	564	2	,	,	PUNCT
ejpam-48	564	3	the	the	DET
ejpam-48	564	4	analysis	analysis	NOUN
ejpam-48	564	5	of	of	ADP
ejpam-48	564	6	sam	sam	PROPN
ejpam-48	564	7	’s	’s	PART
ejpam-48	564	8	interview	interview	NOUN
ejpam-48	564	9	casts	cast	VERB
ejpam-48	564	10	some	some	DET
ejpam-48	564	11	doubt	doubt	NOUN
ejpam-48	564	12	on	on	ADP
ejpam-48	564	13	this	this	DET
ejpam-48	564	14	interpretation	interpretation	NOUN
ejpam-48	564	15	.	.	PUNCT
ejpam-48	565	1	although	although	SCONJ
ejpam-48	565	2	he	he	PRON
ejpam-48	565	3	viewed	view	VERB
ejpam-48	565	4	the	the	DET
ejpam-48	565	5	time	time	NOUN
ejpam-48	565	6	process	process	NOUN
ejpam-48	565	7	as	as	ADV
ejpam-48	565	8	complete	complete	ADJ
ejpam-48	565	9	,	,	PUNCT
ejpam-48	565	10	he	he	PRON
ejpam-48	565	11	saw	see	VERB
ejpam-48	565	12	the	the	DET
ejpam-48	565	13	process	process	NOUN
ejpam-48	565	14	of	of	ADP
ejpam-48	565	15	moving	move	VERB
ejpam-48	565	16	the	the	DET
ejpam-48	565	17	balls	ball	NOUN
ejpam-48	565	18	,	,	PUNCT
ejpam-48	565	19	when	when	SCONJ
ejpam-48	565	20	isolated	isolate	VERB
ejpam-48	565	21	from	from	ADP
ejpam-48	565	22	time	time	NOUN
ejpam-48	565	23	,	,	PUNCT
ejpam-48	565	24	as	as	ADP
ejpam-48	565	25	incomplete	incomplete	ADJ
ejpam-48	565	26	.	.	PUNCT
ejpam-48	566	1	hence	hence	ADV
ejpam-48	566	2	,	,	PUNCT
ejpam-48	566	3	it	it	PRON
ejpam-48	566	4	may	may	AUX
ejpam-48	566	5	be	be	AUX
ejpam-48	566	6	the	the	DET
ejpam-48	566	7	case	case	NOUN
ejpam-48	566	8	that	that	SCONJ
ejpam-48	566	9	the	the	DET
ejpam-48	566	10	coordination	coordination	NOUN
ejpam-48	566	11	involved	involve	VERB
ejpam-48	566	12	in	in	ADP
ejpam-48	566	13	the	the	DET
ejpam-48	566	14	construction	construction	NOUN
ejpam-48	566	15	of	of	ADP
ejpam-48	566	16	a	a	DET
ejpam-48	566	17	two	two	NUM
ejpam-48	566	18	-	-	PUNCT
ejpam-48	566	19	dimensional	dimensional	ADJ
ejpam-48	566	20	infinite	infinite	ADJ
ejpam-48	566	21	iterative	iterative	NOUN
ejpam-48	566	22	process	process	NOUN
ejpam-48	566	23	requires	require	VERB
ejpam-48	566	24	only	only	ADV
ejpam-48	566	25	that	that	SCONJ
ejpam-48	566	26	at	at	ADV
ejpam-48	566	27	least	least	ADV
ejpam-48	566	28	one	one	NUM
ejpam-48	566	29	,	,	PUNCT
ejpam-48	566	30	but	but	CCONJ
ejpam-48	566	31	not	not	PART
ejpam-48	566	32	necessarily	necessarily	ADV
ejpam-48	566	33	both	both	PRON
ejpam-48	566	34	,	,	PUNCT
ejpam-48	566	35	processes	process	NOUN
ejpam-48	566	36	be	be	AUX
ejpam-48	566	37	viewed	view	VERB
ejpam-48	566	38	as	as	ADP
ejpam-48	566	39	complete	complete	ADJ
ejpam-48	566	40	.	.	PUNCT
ejpam-48	567	1	difficulties	difficulty	NOUN
ejpam-48	567	2	with	with	ADP
ejpam-48	567	3	completeness	completeness	NOUN
ejpam-48	567	4	revealed	reveal	VERB
ejpam-48	567	5	issues	issue	NOUN
ejpam-48	567	6	about	about	ADP
ejpam-48	567	7	the	the	DET
ejpam-48	567	8	construction	construction	NOUN
ejpam-48	567	9	of	of	ADP
ejpam-48	567	10	final	final	ADJ
ejpam-48	567	11	objects	object	NOUN
ejpam-48	567	12	.	.	PUNCT
ejpam-48	568	1	a	a	DET
ejpam-48	568	2	cursory	cursory	ADJ
ejpam-48	568	3	analysis	analysis	NOUN
ejpam-48	568	4	of	of	ADP
ejpam-48	568	5	the	the	DET
ejpam-48	568	6	intermediate	intermediate	ADJ
ejpam-48	568	7	states	state	NOUN
ejpam-48	568	8	of	of	ADP
ejpam-48	568	9	the	the	DET
ejpam-48	568	10	iterative	iterative	NOUN
ejpam-48	568	11	movement	movement	NOUN
ejpam-48	568	12	of	of	ADP
ejpam-48	568	13	the	the	DET
ejpam-48	568	14	tennis	tennis	NOUN
ejpam-48	568	15	balls	ball	NOUN
ejpam-48	568	16	could	could	AUX
ejpam-48	568	17	easily	easily	ADV
ejpam-48	568	18	lead	lead	VERB
ejpam-48	568	19	to	to	ADP
ejpam-48	568	20	the	the	DET
ejpam-48	568	21	erroneous	erroneous	ADJ
ejpam-48	568	22	conclusion	conclusion	NOUN
ejpam-48	568	23	that	that	SCONJ
ejpam-48	568	24	bins	bin	VERB
ejpam-48	568	25	a	a	PRON
ejpam-48	568	26	and	and	CCONJ
ejpam-48	568	27	t	t	PROPN
ejpam-48	568	28	each	each	PRON
ejpam-48	568	29	contain	contain	VERB
ejpam-48	568	30	an	an	DET
ejpam-48	568	31	infinite	infinite	ADJ
ejpam-48	568	32	quantity	quantity	NOUN
ejpam-48	568	33	of	of	ADP
ejpam-48	568	34	balls	ball	NOUN
ejpam-48	568	35	.	.	PUNCT
ejpam-48	569	1	to	to	PART
ejpam-48	569	2	avoid	avoid	VERB
ejpam-48	569	3	this	this	DET
ejpam-48	569	4	pitfall	pitfall	NOUN
ejpam-48	569	5	,	,	PUNCT
ejpam-48	569	6	one	one	PRON
ejpam-48	569	7	must	must	AUX
ejpam-48	569	8	apply	apply	VERB
ejpam-48	569	9	the	the	DET
ejpam-48	569	10	relevant	relevant	ADJ
ejpam-48	569	11	action	action	NOUN
ejpam-48	569	12	,	,	PUNCT
ejpam-48	569	13	specifically	specifically	ADV
ejpam-48	569	14	,	,	PUNCT
ejpam-48	569	15	to	to	PART
ejpam-48	569	16	determine	determine	VERB
ejpam-48	569	17	what	what	PRON
ejpam-48	569	18	happens	happen	VERB
ejpam-48	569	19	to	to	ADP
ejpam-48	569	20	each	each	DET
ejpam-48	569	21	ball	ball	NOUN
ejpam-48	569	22	.	.	PUNCT
ejpam-48	570	1	in	in	ADP
ejpam-48	570	2	order	order	NOUN
ejpam-48	570	3	to	to	PART
ejpam-48	570	4	apply	apply	VERB
ejpam-48	570	5	this	this	DET
ejpam-48	570	6	action	action	NOUN
ejpam-48	570	7	,	,	PUNCT
ejpam-48	570	8	and	and	CCONJ
ejpam-48	570	9	overcome	overcome	VERB
ejpam-48	570	10	the	the	DET
ejpam-48	570	11	tendency	tendency	NOUN
ejpam-48	570	12	to	to	PART
ejpam-48	570	13	see	see	VERB
ejpam-48	570	14	the	the	DET
ejpam-48	570	15	state	state	NOUN
ejpam-48	570	16	at	at	ADP
ejpam-48	570	17	infinity	infinity	NOUN
ejpam-48	570	18	as	as	ADP
ejpam-48	570	19	an	an	DET
ejpam-48	570	20	extension	extension	NOUN
ejpam-48	570	21	of	of	ADP
ejpam-48	570	22	the	the	DET
ejpam-48	570	23	intermediate	intermediate	ADJ
ejpam-48	570	24	states	state	NOUN
ejpam-48	570	25	,	,	PUNCT
ejpam-48	570	26	one	one	PRON
ejpam-48	570	27	must	must	AUX
ejpam-48	570	28	see	see	VERB
ejpam-48	570	29	the	the	DET
ejpam-48	570	30	state	state	NOUN
ejpam-48	570	31	at	at	ADP
ejpam-48	570	32	infinity	infinity	NOUN
ejpam-48	570	33	as	as	ADP
ejpam-48	570	34	transcendent	transcendent	NOUN
ejpam-48	570	35	.	.	PUNCT
ejpam-48	571	1	audrey	audrey	PROPN
ejpam-48	571	2	had	have	VERB
ejpam-48	571	3	particular	particular	ADJ
ejpam-48	571	4	difficulty	difficulty	NOUN
ejpam-48	571	5	doing	do	VERB
ejpam-48	571	6	this	this	PRON
ejpam-48	571	7	.	.	PUNCT
ejpam-48	572	1	although	although	SCONJ
ejpam-48	572	2	she	she	PRON
ejpam-48	572	3	articulated	articulate	VERB
ejpam-48	572	4	that	that	SCONJ
ejpam-48	572	5	each	each	DET
ejpam-48	572	6	ball	ball	NOUN
ejpam-48	572	7	is	be	AUX
ejpam-48	572	8	eventually	eventually	ADV
ejpam-48	572	9	deposited	deposit	VERB
ejpam-48	572	10	in	in	ADP
ejpam-48	572	11	bin	bin	PROPN
ejpam-48	572	12	t	t	PROPN
ejpam-48	572	13	,	,	PUNCT
ejpam-48	572	14	and	and	CCONJ
ejpam-48	572	15	entertained	entertain	VERB
ejpam-48	572	16	the	the	DET
ejpam-48	572	17	possibility	possibility	NOUN
ejpam-48	572	18	that	that	SCONJ
ejpam-48	572	19	bin	bin	PROPN
ejpam-48	572	20	a	a	PRON
ejpam-48	572	21	is	be	AUX
ejpam-48	572	22	empty	empty	ADJ
ejpam-48	572	23	,	,	PUNCT
ejpam-48	572	24	she	she	PRON
ejpam-48	572	25	retreated	retreat	VERB
ejpam-48	572	26	from	from	ADP
ejpam-48	572	27	this	this	DET
ejpam-48	572	28	possibility	possibility	NOUN
ejpam-48	572	29	,	,	PUNCT
ejpam-48	572	30	in	in	ADP
ejpam-48	572	31	large	large	ADJ
ejpam-48	572	32	part	part	NOUN
ejpam-48	572	33	,	,	PUNCT
ejpam-48	572	34	because	because	SCONJ
ejpam-48	572	35	she	she	PRON
ejpam-48	572	36	saw	see	VERB
ejpam-48	572	37	the	the	DET
ejpam-48	572	38	process	process	NOUN
ejpam-48	572	39	of	of	ADP
ejpam-48	572	40	iterating	iterate	VERB
ejpam-48	572	41	through	through	ADP
ejpam-48	572	42	n	n	CCONJ
ejpam-48	572	43	,	,	PUNCT
ejpam-48	572	44	and	and	CCONJ
ejpam-48	572	45	consequently	consequently	ADV
ejpam-48	572	46	,	,	PUNCT
ejpam-48	572	47	that	that	PRON
ejpam-48	572	48	of	of	ADP
ejpam-48	572	49	moving	move	VERB
ejpam-48	572	50	the	the	DET
ejpam-48	572	51	balls	ball	NOUN
ejpam-48	572	52	,	,	PUNCT
ejpam-48	572	53	as	as	ADP
ejpam-48	572	54	incomplete	incomplete	ADJ
ejpam-48	572	55	.	.	PUNCT
ejpam-48	573	1	as	as	SCONJ
ejpam-48	573	2	she	she	PRON
ejpam-48	573	3	noted	note	VERB
ejpam-48	573	4	toward	toward	ADP
ejpam-48	573	5	the	the	DET
ejpam-48	573	6	end	end	NOUN
ejpam-48	573	7	of	of	ADP
ejpam-48	573	8	the	the	DET
ejpam-48	573	9	interview	interview	NOUN
ejpam-48	573	10	,	,	PUNCT
ejpam-48	573	11	“	"	PUNCT
ejpam-48	573	12	i	i	PRON
ejpam-48	573	13	just	just	ADV
ejpam-48	573	14	get	get	VERB
ejpam-48	573	15	stuck	stuck	ADJ
ejpam-48	573	16	‘	'	PUNCT
ejpam-48	573	17	cuz	cuz	SCONJ
ejpam-48	573	18	balls	ball	NOUN
ejpam-48	573	19	come	come	VERB
ejpam-48	573	20	down	down	ADP
ejpam-48	573	21	all	all	DET
ejpam-48	573	22	the	the	DET
ejpam-48	573	23	time	time	NOUN
ejpam-48	573	24	.	.	PUNCT
ejpam-48	573	25	”	"	PUNCT
ejpam-48	574	1	because	because	SCONJ
ejpam-48	574	2	she	she	PRON
ejpam-48	574	3	could	could	AUX
ejpam-48	574	4	not	not	PART
ejpam-48	574	5	conceive	conceive	VERB
ejpam-48	574	6	of	of	ADP
ejpam-48	574	7	the	the	DET
ejpam-48	574	8	process	process	NOUN
ejpam-48	574	9	in	in	ADP
ejpam-48	574	10	totality	totality	NOUN
ejpam-48	574	11	to	to	PART
ejpam-48	574	12	make	make	VERB
ejpam-48	574	13	an	an	DET
ejpam-48	574	14	encapsulation	encapsulation	NOUN
ejpam-48	574	15	,	,	PUNCT
ejpam-48	574	16	her	her	PRON
ejpam-48	574	17	earlier	early	ADV
ejpam-48	574	18	thinking	thinking	NOUN
ejpam-48	574	19	–	–	PUNCT
ejpam-48	574	20	each	each	DET
ejpam-48	574	21	bin	bin	NOUN
ejpam-48	574	22	contains	contain	VERB
ejpam-48	574	23	half	half	NOUN
ejpam-48	574	24	of	of	ADP
ejpam-48	574	25	the	the	DET
ejpam-48	574	26	balls	ball	NOUN
ejpam-48	574	27	–	–	PUNCT
ejpam-48	574	28	seemed	seem	VERB
ejpam-48	574	29	more	more	ADV
ejpam-48	574	30	plausible	plausible	ADJ
ejpam-48	574	31	.	.	PUNCT
ejpam-48	575	1	in	in	ADP
ejpam-48	575	2	contrast	contrast	NOUN
ejpam-48	575	3	,	,	PUNCT
ejpam-48	575	4	sam	sam	PROPN
ejpam-48	575	5	viewed	view	VERB
ejpam-48	575	6	the	the	DET
ejpam-48	575	7	correspondence	correspondence	NOUN
ejpam-48	575	8	t	t	PROPN
ejpam-48	575	9	:	:	PUNCT
ejpam-48	575	10	→nn	→nn	X
ejpam-48	575	11	in	in	ADP
ejpam-48	575	12	totality	totality	NOUN
ejpam-48	575	13	,	,	PUNCT
ejpam-48	575	14	enabling	enable	VERB
ejpam-48	575	15	him	he	PRON
ejpam-48	575	16	to	to	PART
ejpam-48	575	17	direct	direct	VERB
ejpam-48	575	18	his	his	PRON
ejpam-48	575	19	focus	focus	NOUN
ejpam-48	575	20	toward	toward	ADP
ejpam-48	575	21	the	the	DET
ejpam-48	575	22	relevant	relevant	ADJ
ejpam-48	575	23	action	action	NOUN
ejpam-48	575	24	of	of	ADP
ejpam-48	575	25	considering	consider	VERB
ejpam-48	575	26	what	what	PRON
ejpam-48	575	27	happens	happen	VERB
ejpam-48	575	28	to	to	ADP
ejpam-48	575	29	each	each	DET
ejpam-48	575	30	ball	ball	NOUN
ejpam-48	575	31	.	.	PUNCT
ejpam-48	576	1	the	the	DET
ejpam-48	576	2	contrast	contrast	NOUN
ejpam-48	576	3	between	between	ADP
ejpam-48	576	4	sam	sam	PROPN
ejpam-48	576	5	and	and	CCONJ
ejpam-48	576	6	audrey	audrey	PROPN
ejpam-48	576	7	’s	’s	PART
ejpam-48	576	8	thinking	thinking	NOUN
ejpam-48	576	9	highlights	highlight	NOUN
ejpam-48	576	10	an	an	DET
ejpam-48	576	11	essential	essential	ADJ
ejpam-48	576	12	difference	difference	NOUN
ejpam-48	576	13	between	between	ADP
ejpam-48	576	14	the	the	DET
ejpam-48	576	15	basic	basic	ADJ
ejpam-48	576	16	metaphor	metaphor	NOUN
ejpam-48	576	17	of	of	ADP
ejpam-48	576	18	infinity	infinity	NOUN
ejpam-48	576	19	(	(	PUNCT
ejpam-48	576	20	bmi	bmi	PROPN
ejpam-48	576	21	)	)	PUNCT
ejpam-48	576	22	(	(	PUNCT
ejpam-48	576	23	as	as	SCONJ
ejpam-48	576	24	described	describe	VERB
ejpam-48	576	25	in	in	ADP
ejpam-48	576	26	[	[	X
ejpam-48	576	27	1	1	NUM
ejpam-48	576	28	]	]	PUNCT
ejpam-48	576	29	)	)	PUNCT
ejpam-48	576	30	and	and	CCONJ
ejpam-48	576	31	apos	apos	PROPN
ejpam-48	576	32	theory	theory	NOUN
ejpam-48	576	33	.	.	PUNCT
ejpam-48	577	1	for	for	ADP
ejpam-48	577	2	the	the	DET
ejpam-48	577	3	former	former	ADJ
ejpam-48	577	4	,	,	PUNCT
ejpam-48	577	5	the	the	DET
ejpam-48	577	6	state	state	NOUN
ejpam-48	577	7	at	at	ADP
ejpam-48	577	8	infinity	infinity	NOUN
ejpam-48	577	9	is	be	AUX
ejpam-48	577	10	conceptualized	conceptualize	VERB
ejpam-48	577	11	as	as	ADP
ejpam-48	577	12	the	the	DET
ejpam-48	577	13	metaphorical	metaphorical	ADJ
ejpam-48	577	14	completion	completion	NOUN
ejpam-48	577	15	of	of	ADP
ejpam-48	577	16	an	an	DET
ejpam-48	577	17	infinite	infinite	ADJ
ejpam-48	577	18	process	process	NOUN
ejpam-48	577	19	.	.	PUNCT
ejpam-48	578	1	for	for	ADP
ejpam-48	578	2	the	the	DET
ejpam-48	578	3	latter	latter	ADJ
ejpam-48	578	4	,	,	PUNCT
ejpam-48	578	5	the	the	DET
ejpam-48	578	6	state	state	NOUN
ejpam-48	578	7	at	at	ADP
ejpam-48	578	8	infinity	infinity	NOUN
ejpam-48	578	9	is	be	AUX
ejpam-48	578	10	a	a	DET
ejpam-48	578	11	transcendent	transcendent	ADJ
ejpam-48	578	12	object	object	NOUN
ejpam-48	578	13	that	that	PRON
ejpam-48	578	14	arises	arise	VERB
ejpam-48	578	15	from	from	ADP
ejpam-48	578	16	encapsulation	encapsulation	NOUN
ejpam-48	578	17	of	of	ADP
ejpam-48	578	18	the	the	DET
ejpam-48	578	19	process	process	NOUN
ejpam-48	578	20	.	.	PUNCT
ejpam-48	579	1	encapsulation	encapsulation	NOUN
ejpam-48	579	2	occurs	occur	VERB
ejpam-48	579	3	in	in	ADP
ejpam-48	579	4	an	an	DET
ejpam-48	579	5	attempt	attempt	NOUN
ejpam-48	579	6	to	to	PART
ejpam-48	579	7	apply	apply	VERB
ejpam-48	579	8	an	an	DET
ejpam-48	579	9	action	action	NOUN
ejpam-48	579	10	to	to	ADP
ejpam-48	579	11	the	the	DET
ejpam-48	579	12	process	process	NOUN
ejpam-48	579	13	.	.	PUNCT
ejpam-48	580	1	different	different	ADJ
ejpam-48	580	2	actions	action	NOUN
ejpam-48	580	3	can	can	AUX
ejpam-48	580	4	lead	lead	VERB
ejpam-48	580	5	to	to	ADP
ejpam-48	580	6	the	the	DET
ejpam-48	580	7	construction	construction	NOUN
ejpam-48	580	8	of	of	ADP
ejpam-48	580	9	different	different	ADJ
ejpam-48	580	10	objects	object	NOUN
ejpam-48	580	11	.	.	PUNCT
ejpam-48	581	1	this	this	PRON
ejpam-48	581	2	is	be	AUX
ejpam-48	581	3	particularly	particularly	ADV
ejpam-48	581	4	true	true	ADJ
ejpam-48	581	5	when	when	SCONJ
ejpam-48	581	6	the	the	DET
ejpam-48	581	7	state	state	NOUN
ejpam-48	581	8	at	at	ADP
ejpam-48	581	9	infinity	infinity	NOUN
ejpam-48	581	10	is	be	AUX
ejpam-48	581	11	a	a	DET
ejpam-48	581	12	discontinuity	discontinuity	NOUN
ejpam-48	581	13	at	at	ADP
ejpam-48	581	14	infinity	infinity	NOUN
ejpam-48	581	15	.	.	PUNCT
ejpam-48	582	1	in	in	ADP
ejpam-48	582	2	the	the	DET
ejpam-48	582	3	case	case	NOUN
ejpam-48	582	4	of	of	ADP
ejpam-48	582	5	the	the	DET
ejpam-48	582	6	movement	movement	NOUN
ejpam-48	582	7	of	of	ADP
ejpam-48	582	8	the	the	DET
ejpam-48	582	9	tennis	tennis	NOUN
ejpam-48	582	10	balls	ball	NOUN
ejpam-48	582	11	,	,	PUNCT
ejpam-48	582	12	each	each	DET
ejpam-48	582	13	intermediate	intermediate	ADJ
ejpam-48	582	14	state	state	NOUN
ejpam-48	582	15	features	feature	VERB
ejpam-48	582	16	two	two	NUM
ejpam-48	582	17	properties	property	NOUN
ejpam-48	582	18	(	(	PUNCT
ejpam-48	582	19	each	each	DET
ejpam-48	582	20	bin	bin	NOUN
ejpam-48	582	21	contains	contain	VERB
ejpam-48	582	22	half	half	DET
ejpam-48	582	23	the	the	DET
ejpam-48	582	24	balls	ball	NOUN
ejpam-48	582	25	,	,	PUNCT
ejpam-48	582	26	and	and	CCONJ
ejpam-48	582	27	each	each	DET
ejpam-48	582	28	bin	bin	NOUN
ejpam-48	582	29	increases	increase	VERB
ejpam-48	582	30	in	in	ADP
ejpam-48	582	31	quantity	quantity	NOUN
ejpam-48	582	32	by	by	ADP
ejpam-48	582	33	one	one	NUM
ejpam-48	582	34	from	from	ADP
ejpam-48	582	35	the	the	DET
ejpam-48	582	36	previous	previous	ADJ
ejpam-48	582	37	step	step	NOUN
ejpam-48	582	38	)	)	PUNCT
ejpam-48	582	39	that	that	PRON
ejpam-48	582	40	are	be	AUX
ejpam-48	582	41	not	not	PART
ejpam-48	582	42	shared	share	VERB
ejpam-48	582	43	by	by	ADP
ejpam-48	582	44	the	the	DET
ejpam-48	582	45	state	state	NOUN
ejpam-48	582	46	at	at	ADP
ejpam-48	582	47	infinity	infinity	NOUN
ejpam-48	582	48	(	(	PUNCT
ejpam-48	582	49	where	where	SCONJ
ejpam-48	582	50	bin	bin	NOUN
ejpam-48	582	51	a	a	PRON
ejpam-48	582	52	is	be	AUX
ejpam-48	582	53	empty	empty	ADJ
ejpam-48	582	54	e.	e.	PROPN
ejpam-48	582	55	dubinsky	dubinsky	PROPN
ejpam-48	582	56	et	et	PROPN
ejpam-48	582	57	al	al	PROPN
ejpam-48	582	58	.	.	PUNCT
ejpam-48	582	59	/	/	SYM
ejpam-48	582	60	eur	eur	PROPN
ejpam-48	582	61	.	.	PUNCT
ejpam-48	583	1	j.	j.	PROPN
ejpam-48	583	2	pure	pure	PROPN
ejpam-48	583	3	.	.	PUNCT
ejpam-48	584	1	appl	appl	PROPN
ejpam-48	584	2	.	.	PUNCT
ejpam-48	584	3	math	math	NOUN
ejpam-48	584	4	.	.	PUNCT
ejpam-48	585	1	1	1	NUM
ejpam-48	585	2	,	,	PUNCT
ejpam-48	585	3	(	(	PUNCT
ejpam-48	585	4	2008	2008	NUM
ejpam-48	585	5	)	)	PUNCT
ejpam-48	585	6	,	,	PUNCT
ejpam-48	585	7	(	(	PUNCT
ejpam-48	585	8	99	99	NUM
ejpam-48	585	9	-	-	SYM
ejpam-48	585	10	121	121	NUM
ejpam-48	585	11	)	)	PUNCT
ejpam-48	585	12	119	119	NUM
ejpam-48	585	13	and	and	CCONJ
ejpam-48	585	14	bin	bin	PROPN
ejpam-48	585	15	t	t	PROPN
ejpam-48	585	16	contains	contain	VERB
ejpam-48	585	17	n	n	PRON
ejpam-48	585	18	)	)	PUNCT
ejpam-48	585	19	.	.	PUNCT
ejpam-48	586	1	any	any	DET
ejpam-48	586	2	action	action	NOUN
ejpam-48	586	3	that	that	PRON
ejpam-48	586	4	leads	lead	VERB
ejpam-48	586	5	to	to	ADP
ejpam-48	586	6	seeing	see	VERB
ejpam-48	586	7	the	the	DET
ejpam-48	586	8	state	state	NOUN
ejpam-48	586	9	at	at	ADP
ejpam-48	586	10	infinity	infinity	NOUN
ejpam-48	586	11	as	as	ADP
ejpam-48	586	12	generalizing	generalize	VERB
ejpam-48	586	13	,	,	PUNCT
ejpam-48	586	14	or	or	CCONJ
ejpam-48	586	15	inheriting	inherit	VERB
ejpam-48	586	16	the	the	DET
ejpam-48	586	17	properties	property	NOUN
ejpam-48	586	18	of	of	ADP
ejpam-48	586	19	,	,	PUNCT
ejpam-48	586	20	the	the	DET
ejpam-48	586	21	intermediate	intermediate	ADJ
ejpam-48	586	22	states	state	NOUN
ejpam-48	586	23	yields	yield	VERB
ejpam-48	586	24	an	an	DET
ejpam-48	586	25	erroneous	erroneous	ADJ
ejpam-48	586	26	result	result	NOUN
ejpam-48	586	27	or	or	CCONJ
ejpam-48	586	28	no	no	DET
ejpam-48	586	29	solution	solution	NOUN
ejpam-48	586	30	.	.	PUNCT
ejpam-48	587	1	any	any	DET
ejpam-48	587	2	action	action	NOUN
ejpam-48	587	3	that	that	PRON
ejpam-48	587	4	focuses	focus	VERB
ejpam-48	587	5	attention	attention	NOUN
ejpam-48	587	6	on	on	ADP
ejpam-48	587	7	the	the	DET
ejpam-48	587	8	final	final	ADJ
ejpam-48	587	9	destination	destination	NOUN
ejpam-48	587	10	of	of	ADP
ejpam-48	587	11	each	each	DET
ejpam-48	587	12	ball	ball	NOUN
ejpam-48	587	13	leads	lead	VERB
ejpam-48	587	14	to	to	ADP
ejpam-48	587	15	the	the	DET
ejpam-48	587	16	correct	correct	ADJ
ejpam-48	587	17	mathematical	mathematical	ADJ
ejpam-48	587	18	solution	solution	NOUN
ejpam-48	587	19	.	.	PUNCT
ejpam-48	588	1	the	the	DET
ejpam-48	588	2	interview	interview	NOUN
ejpam-48	588	3	data	datum	NOUN
ejpam-48	588	4	suggest	suggest	VERB
ejpam-48	588	5	that	that	SCONJ
ejpam-48	588	6	the	the	DET
ejpam-48	588	7	ability	ability	NOUN
ejpam-48	588	8	to	to	PART
ejpam-48	588	9	apply	apply	VERB
ejpam-48	588	10	an	an	DET
ejpam-48	588	11	appropriate	appropriate	ADJ
ejpam-48	588	12	action	action	NOUN
ejpam-48	588	13	depends	depend	VERB
ejpam-48	588	14	on	on	ADP
ejpam-48	588	15	the	the	DET
ejpam-48	588	16	construction	construction	NOUN
ejpam-48	588	17	of	of	ADP
ejpam-48	588	18	certain	certain	ADJ
ejpam-48	588	19	mental	mental	ADJ
ejpam-48	588	20	structures	structure	NOUN
ejpam-48	588	21	,	,	PUNCT
ejpam-48	588	22	particularly	particularly	ADV
ejpam-48	588	23	the	the	DET
ejpam-48	588	24	ability	ability	NOUN
ejpam-48	588	25	to	to	PART
ejpam-48	588	26	see	see	VERB
ejpam-48	588	27	the	the	DET
ejpam-48	588	28	process	process	NOUN
ejpam-48	588	29	as	as	ADP
ejpam-48	588	30	a	a	DET
ejpam-48	588	31	completed	complete	VERB
ejpam-48	588	32	totality	totality	NOUN
ejpam-48	588	33	and	and	CCONJ
ejpam-48	588	34	to	to	PART
ejpam-48	588	35	encapsulate	encapsulate	VERB
ejpam-48	588	36	it	it	PRON
ejpam-48	588	37	.	.	PUNCT
ejpam-48	589	1	although	although	SCONJ
ejpam-48	589	2	lakoff	lakoff	NOUN
ejpam-48	589	3	and	and	CCONJ
ejpam-48	589	4	núñez	núñez	VERB
ejpam-48	590	1	[	[	X
ejpam-48	590	2	1	1	X
ejpam-48	590	3	]	]	PUNCT
ejpam-48	590	4	cite	cite	VERB
ejpam-48	590	5	completeness	completeness	NOUN
ejpam-48	590	6	as	as	ADP
ejpam-48	590	7	a	a	DET
ejpam-48	590	8	precondition	precondition	NOUN
ejpam-48	590	9	for	for	ADP
ejpam-48	590	10	construction	construction	NOUN
ejpam-48	590	11	of	of	ADP
ejpam-48	590	12	the	the	DET
ejpam-48	590	13	state	state	NOUN
ejpam-48	590	14	at	at	ADP
ejpam-48	590	15	infinity	infinity	NOUN
ejpam-48	590	16	,	,	PUNCT
ejpam-48	590	17	they	they	PRON
ejpam-48	590	18	do	do	AUX
ejpam-48	590	19	not	not	PART
ejpam-48	590	20	mention	mention	VERB
ejpam-48	590	21	the	the	DET
ejpam-48	590	22	importance	importance	NOUN
ejpam-48	590	23	of	of	ADP
ejpam-48	590	24	conceiving	conceive	VERB
ejpam-48	590	25	the	the	DET
ejpam-48	590	26	process	process	NOUN
ejpam-48	590	27	as	as	ADP
ejpam-48	590	28	a	a	DET
ejpam-48	590	29	totality	totality	NOUN
ejpam-48	590	30	,	,	PUNCT
ejpam-48	590	31	nor	nor	CCONJ
ejpam-48	590	32	do	do	AUX
ejpam-48	590	33	they	they	PRON
ejpam-48	590	34	consider	consider	VERB
ejpam-48	590	35	the	the	DET
ejpam-48	590	36	effect	effect	NOUN
ejpam-48	590	37	of	of	ADP
ejpam-48	590	38	applying	apply	VERB
ejpam-48	590	39	different	different	ADJ
ejpam-48	590	40	actions	action	NOUN
ejpam-48	590	41	to	to	ADP
ejpam-48	590	42	the	the	DET
ejpam-48	590	43	completed	complete	VERB
ejpam-48	590	44	iterative	iterative	NOUN
ejpam-48	590	45	process	process	NOUN
ejpam-48	590	46	.	.	PUNCT
ejpam-48	591	1	the	the	DET
ejpam-48	591	2	interview	interview	NOUN
ejpam-48	591	3	data	datum	NOUN
ejpam-48	591	4	,	,	PUNCT
ejpam-48	591	5	both	both	CCONJ
ejpam-48	591	6	in	in	ADP
ejpam-48	591	7	this	this	DET
ejpam-48	591	8	study	study	NOUN
ejpam-48	591	9	and	and	CCONJ
ejpam-48	591	10	[	[	X
ejpam-48	591	11	4	4	NUM
ejpam-48	591	12	]	]	PUNCT
ejpam-48	591	13	,	,	PUNCT
ejpam-48	591	14	support	support	NOUN
ejpam-48	591	15	lakoff	lakoff	NOUN
ejpam-48	591	16	and	and	CCONJ
ejpam-48	591	17	núñez	núñez	PROPN
ejpam-48	591	18	’	'	PUNCT
ejpam-48	591	19	contention	contention	NOUN
ejpam-48	591	20	that	that	SCONJ
ejpam-48	591	21	individuals	individual	NOUN
ejpam-48	591	22	often	often	ADV
ejpam-48	591	23	think	think	VERB
ejpam-48	591	24	about	about	ADP
ejpam-48	591	25	aspects	aspect	NOUN
ejpam-48	591	26	of	of	ADP
ejpam-48	591	27	mathematical	mathematical	ADJ
ejpam-48	591	28	infinity	infinity	NOUN
ejpam-48	591	29	by	by	ADP
ejpam-48	591	30	trying	try	VERB
ejpam-48	591	31	to	to	PART
ejpam-48	591	32	apply	apply	VERB
ejpam-48	591	33	conceptual	conceptual	ADJ
ejpam-48	591	34	metaphors	metaphor	NOUN
ejpam-48	591	35	.	.	PUNCT
ejpam-48	592	1	at	at	ADP
ejpam-48	592	2	the	the	DET
ejpam-48	592	3	same	same	ADJ
ejpam-48	592	4	time	time	NOUN
ejpam-48	592	5	,	,	PUNCT
ejpam-48	592	6	the	the	DET
ejpam-48	592	7	analyses	analysis	NOUN
ejpam-48	592	8	conducted	conduct	VERB
ejpam-48	592	9	in	in	ADP
ejpam-48	592	10	both	both	DET
ejpam-48	592	11	studies	study	NOUN
ejpam-48	592	12	demonstrate	demonstrate	VERB
ejpam-48	592	13	that	that	SCONJ
ejpam-48	592	14	determination	determination	NOUN
ejpam-48	592	15	of	of	ADP
ejpam-48	592	16	the	the	DET
ejpam-48	592	17	state	state	NOUN
ejpam-48	592	18	at	at	ADP
ejpam-48	592	19	infinity	infinity	NOUN
ejpam-48	592	20	of	of	ADP
ejpam-48	592	21	iterative	iterative	NOUN
ejpam-48	592	22	processes	process	NOUN
ejpam-48	592	23	may	may	AUX
ejpam-48	592	24	require	require	VERB
ejpam-48	592	25	more	more	ADJ
ejpam-48	592	26	than	than	ADP
ejpam-48	592	27	metaphorical	metaphorical	ADJ
ejpam-48	592	28	thinking	thinking	NOUN
ejpam-48	592	29	.	.	PUNCT
ejpam-48	593	1	specifically	specifically	ADV
ejpam-48	593	2	,	,	PUNCT
ejpam-48	593	3	the	the	DET
ejpam-48	593	4	bmi	bmi	NOUN
ejpam-48	593	5	does	do	AUX
ejpam-48	593	6	not	not	PART
ejpam-48	593	7	identify	identify	VERB
ejpam-48	593	8	particular	particular	ADJ
ejpam-48	593	9	mental	mental	ADJ
ejpam-48	593	10	mechanisms	mechanism	NOUN
ejpam-48	593	11	that	that	PRON
ejpam-48	593	12	may	may	AUX
ejpam-48	593	13	need	need	VERB
ejpam-48	593	14	to	to	PART
ejpam-48	593	15	be	be	AUX
ejpam-48	593	16	applied	apply	VERB
ejpam-48	593	17	to	to	PART
ejpam-48	593	18	construct	construct	VERB
ejpam-48	593	19	such	such	ADJ
ejpam-48	593	20	states	state	NOUN
ejpam-48	593	21	.	.	PUNCT
ejpam-48	594	1	thus	thus	ADV
ejpam-48	594	2	,	,	PUNCT
ejpam-48	594	3	our	our	PRON
ejpam-48	594	4	findings	finding	NOUN
ejpam-48	594	5	support	support	VERB
ejpam-48	594	6	the	the	DET
ejpam-48	594	7	assertion	assertion	NOUN
ejpam-48	594	8	made	make	VERB
ejpam-48	594	9	in	in	ADP
ejpam-48	594	10	[	[	X
ejpam-48	594	11	18	18	NUM
ejpam-48	594	12	]	]	X
ejpam-48	594	13	:	:	PUNCT
ejpam-48	594	14	by	by	ADP
ejpam-48	594	15	itself	itself	PRON
ejpam-48	594	16	,	,	PUNCT
ejpam-48	594	17	lakoff	lakoff	NOUN
ejpam-48	594	18	and	and	CCONJ
ejpam-48	594	19	núñez	núñez	PROPN
ejpam-48	594	20	’	'	PUNCT
ejpam-48	594	21	method	method	NOUN
ejpam-48	594	22	of	of	ADP
ejpam-48	594	23	mathematical	mathematical	ADJ
ejpam-48	594	24	idea	idea	NOUN
ejpam-48	594	25	analysis	analysis	NOUN
ejpam-48	594	26	does	do	AUX
ejpam-48	594	27	not	not	PART
ejpam-48	594	28	always	always	ADV
ejpam-48	594	29	provide	provide	VERB
ejpam-48	594	30	explanations	explanation	NOUN
ejpam-48	594	31	that	that	PRON
ejpam-48	594	32	account	account	VERB
ejpam-48	594	33	for	for	ADP
ejpam-48	594	34	the	the	DET
ejpam-48	594	35	full	full	ADJ
ejpam-48	594	36	range	range	NOUN
ejpam-48	594	37	of	of	ADP
ejpam-48	594	38	students	student	NOUN
ejpam-48	594	39	’	'	PUNCT
ejpam-48	594	40	mathematical	mathematical	ADJ
ejpam-48	594	41	thinking	thinking	NOUN
ejpam-48	594	42	.	.	PUNCT
ejpam-48	595	1	in	in	ADP
ejpam-48	595	2	her	her	PRON
ejpam-48	595	3	theoretical	theoretical	ADJ
ejpam-48	595	4	analysis	analysis	NOUN
ejpam-48	595	5	,	,	PUNCT
ejpam-48	595	6	mamona	mamona	NOUN
ejpam-48	595	7	-	-	PUNCT
ejpam-48	595	8	downs	down	NOUN
ejpam-48	595	9	[	[	X
ejpam-48	595	10	16	16	NUM
ejpam-48	595	11	]	]	PUNCT
ejpam-48	595	12	discussed	discuss	VERB
ejpam-48	595	13	students	student	NOUN
ejpam-48	595	14	’	'	PUNCT
ejpam-48	595	15	tendencies	tendency	NOUN
ejpam-48	595	16	to	to	PART
ejpam-48	595	17	conceptualize	conceptualize	VERB
ejpam-48	595	18	states	state	NOUN
ejpam-48	595	19	at	at	ADP
ejpam-48	595	20	infinity	infinity	NOUN
ejpam-48	595	21	as	as	SCONJ
ejpam-48	595	22	if	if	SCONJ
ejpam-48	595	23	they	they	PRON
ejpam-48	595	24	were	be	AUX
ejpam-48	595	25	final	final	ADJ
ejpam-48	595	26	terms	term	NOUN
ejpam-48	595	27	.	.	PUNCT
ejpam-48	596	1	david	david	PROPN
ejpam-48	596	2	,	,	PUNCT
ejpam-48	596	3	stan	stan	PROPN
ejpam-48	596	4	,	,	PUNCT
ejpam-48	596	5	and	and	CCONJ
ejpam-48	596	6	paul	paul	PROPN
ejpam-48	596	7	all	all	PRON
ejpam-48	596	8	gave	give	VERB
ejpam-48	596	9	evidence	evidence	NOUN
ejpam-48	596	10	of	of	ADP
ejpam-48	596	11	this	this	DET
ejpam-48	596	12	type	type	NOUN
ejpam-48	596	13	of	of	ADP
ejpam-48	596	14	thinking	thinking	NOUN
ejpam-48	596	15	.	.	PUNCT
ejpam-48	597	1	in	in	ADP
ejpam-48	597	2	both	both	DET
ejpam-48	597	3	cases	case	NOUN
ejpam-48	597	4	,	,	PUNCT
ejpam-48	597	5	the	the	DET
ejpam-48	597	6	students	student	NOUN
ejpam-48	597	7	reflected	reflect	VERB
ejpam-48	597	8	on	on	ADP
ejpam-48	597	9	results	result	NOUN
ejpam-48	597	10	obtained	obtain	VERB
ejpam-48	597	11	by	by	ADP
ejpam-48	597	12	completing	complete	VERB
ejpam-48	597	13	a	a	DET
ejpam-48	597	14	finite	finite	ADJ
ejpam-48	597	15	number	number	NOUN
ejpam-48	597	16	of	of	ADP
ejpam-48	597	17	steps	step	NOUN
ejpam-48	597	18	.	.	PUNCT
ejpam-48	598	1	in	in	ADP
ejpam-48	598	2	david	david	PROPN
ejpam-48	598	3	and	and	CCONJ
ejpam-48	598	4	stan	stan	PROPN
ejpam-48	598	5	’s	’s	PART
ejpam-48	598	6	case	case	NOUN
ejpam-48	598	7	,	,	PUNCT
ejpam-48	598	8	they	they	PRON
ejpam-48	598	9	obtained	obtain	VERB
ejpam-48	598	10	a	a	DET
ejpam-48	598	11	closed	closed	ADJ
ejpam-48	598	12	form	form	NOUN
ejpam-48	598	13	expression	expression	NOUN
ejpam-48	598	14	from	from	ADP
ejpam-48	598	15	encapsulation	encapsulation	NOUN
ejpam-48	598	16	of	of	ADP
ejpam-48	598	17	the	the	DET
ejpam-48	598	18	finite	finite	ADJ
ejpam-48	598	19	process	process	NOUN
ejpam-48	598	20	(	(	PUNCT
ejpam-48	598	21	bin	bin	NOUN
ejpam-48	598	22	t	t	PROPN
ejpam-48	598	23	contains	contain	VERB
ejpam-48	598	24	balls	ball	NOUN
ejpam-48	598	25	numbered	number	VERB
ejpam-48	598	26	1	1	NUM
ejpam-48	598	27	throughn	throughn	NOUN
ejpam-48	598	28	;	;	PUNCT
ejpam-48	598	29	bin	bin	PROPN
ejpam-48	598	30	a	a	PRON
ejpam-48	598	31	contains	contain	VERB
ejpam-48	598	32	balls	ball	NOUN
ejpam-48	598	33	numbered	number	VERB
ejpam-48	598	34	1+n	1+n	NUM
ejpam-48	598	35	to	to	ADP
ejpam-48	598	36	n2	n2	ADJ
ejpam-48	598	37	)	)	PUNCT
ejpam-48	598	38	,	,	PUNCT
ejpam-48	598	39	and	and	CCONJ
ejpam-48	598	40	then	then	ADV
ejpam-48	598	41	attempted	attempt	VERB
ejpam-48	598	42	to	to	PART
ejpam-48	598	43	apply	apply	VERB
ejpam-48	598	44	an	an	DET
ejpam-48	598	45	action	action	NOUN
ejpam-48	598	46	to	to	ADP
ejpam-48	598	47	the	the	DET
ejpam-48	598	48	encapsulated	encapsulate	VERB
ejpam-48	598	49	object	object	NOUN
ejpam-48	598	50	;	;	PUNCT
ejpam-48	598	51	specifically	specifically	ADV
ejpam-48	598	52	,	,	PUNCT
ejpam-48	598	53	they	they	PRON
ejpam-48	598	54	wanted	want	VERB
ejpam-48	598	55	to	to	PART
ejpam-48	598	56	allow	allow	VERB
ejpam-48	598	57	n	n	ADP
ejpam-48	598	58	to	to	PART
ejpam-48	598	59	approach	approach	VERB
ejpam-48	598	60	infinity	infinity	NOUN
ejpam-48	598	61	.	.	PUNCT
ejpam-48	599	1	however	however	ADV
ejpam-48	599	2	,	,	PUNCT
ejpam-48	599	3	knowing	know	VERB
ejpam-48	599	4	that	that	SCONJ
ejpam-48	599	5	computations	computation	NOUN
ejpam-48	599	6	with	with	ADP
ejpam-48	599	7	∞	∞	PROPN
ejpam-48	599	8	are	be	AUX
ejpam-48	599	9	not	not	PART
ejpam-48	599	10	possible	possible	ADJ
ejpam-48	599	11	in	in	ADP
ejpam-48	599	12	this	this	DET
ejpam-48	599	13	context	context	NOUN
ejpam-48	599	14	,	,	PUNCT
ejpam-48	599	15	they	they	PRON
ejpam-48	599	16	concluded	conclude	VERB
ejpam-48	599	17	that	that	SCONJ
ejpam-48	599	18	the	the	DET
ejpam-48	599	19	problem	problem	NOUN
ejpam-48	599	20	is	be	AUX
ejpam-48	599	21	unsolvable	unsolvable	ADJ
ejpam-48	599	22	.	.	PUNCT
ejpam-48	600	1	their	their	PRON
ejpam-48	600	2	thinking	thinking	NOUN
ejpam-48	600	3	reflected	reflect	VERB
ejpam-48	600	4	an	an	DET
ejpam-48	600	5	approach	approach	NOUN
ejpam-48	600	6	learned	learn	VERB
ejpam-48	600	7	in	in	ADP
ejpam-48	600	8	calculus	calculus	NOUN
ejpam-48	600	9	:	:	PUNCT
ejpam-48	600	10	given	give	VERB
ejpam-48	600	11	a	a	DET
ejpam-48	600	12	convergent	convergent	NOUN
ejpam-48	600	13	infinite	infinite	ADJ
ejpam-48	600	14	sequence	sequence	NOUN
ejpam-48	600	15	,	,	PUNCT
ejpam-48	600	16	one	one	PRON
ejpam-48	600	17	can	can	AUX
ejpam-48	600	18	determine	determine	VERB
ejpam-48	600	19	the	the	DET
ejpam-48	600	20	limit	limit	NOUN
ejpam-48	600	21	by	by	ADP
ejpam-48	600	22	obtaining	obtain	VERB
ejpam-48	600	23	a	a	DET
ejpam-48	600	24	closed	closed	ADJ
ejpam-48	600	25	form	form	NOUN
ejpam-48	600	26	expression	expression	NOUN
ejpam-48	600	27	to	to	PART
ejpam-48	600	28	which	which	PRON
ejpam-48	600	29	a	a	DET
ejpam-48	600	30	limit	limit	NOUN
ejpam-48	600	31	can	can	AUX
ejpam-48	600	32	be	be	AUX
ejpam-48	600	33	applied	apply	VERB
ejpam-48	600	34	.	.	PUNCT
ejpam-48	601	1	in	in	ADP
ejpam-48	601	2	paul	paul	PROPN
ejpam-48	601	3	's	's	PART
ejpam-48	601	4	interview	interview	NOUN
ejpam-48	601	5	,	,	PUNCT
ejpam-48	601	6	he	he	PRON
ejpam-48	601	7	appeared	appear	VERB
ejpam-48	601	8	to	to	PART
ejpam-48	601	9	conceptualize	conceptualize	VERB
ejpam-48	601	10	the	the	DET
ejpam-48	601	11	iteration	iteration	NOUN
ejpam-48	601	12	throughnas	throughna	NOUN
ejpam-48	601	13	a	a	DET
ejpam-48	601	14	finite	finite	ADJ
ejpam-48	601	15	process	process	NOUN
ejpam-48	601	16	,	,	PUNCT
ejpam-48	601	17	with	with	ADP
ejpam-48	601	18	∞	∞	PROPN
ejpam-48	601	19	as	as	ADP
ejpam-48	601	20	a	a	DET
ejpam-48	601	21	final	final	ADJ
ejpam-48	601	22	object	object	NOUN
ejpam-48	601	23	available	available	ADJ
ejpam-48	601	24	for	for	ADP
ejpam-48	601	25	use	use	NOUN
ejpam-48	601	26	in	in	ADP
ejpam-48	601	27	computations	computation	NOUN
ejpam-48	601	28	.	.	PUNCT
ejpam-48	602	1	similar	similar	ADJ
ejpam-48	602	2	to	to	ADP
ejpam-48	602	3	david	david	PROPN
ejpam-48	602	4	and	and	CCONJ
ejpam-48	602	5	stan	stan	PROPN
ejpam-48	602	6	,	,	PUNCT
ejpam-48	602	7	he	he	PRON
ejpam-48	602	8	obtained	obtain	VERB
ejpam-48	602	9	a	a	DET
ejpam-48	602	10	closed	closed	ADJ
ejpam-48	602	11	form	form	NOUN
ejpam-48	602	12	expression	expression	NOUN
ejpam-48	602	13	to	to	PART
ejpam-48	602	14	describe	describe	VERB
ejpam-48	602	15	the	the	DET
ejpam-48	602	16	contents	content	NOUN
ejpam-48	602	17	of	of	ADP
ejpam-48	602	18	the	the	DET
ejpam-48	602	19	two	two	NUM
ejpam-48	602	20	bins	bin	NOUN
ejpam-48	602	21	after	after	ADP
ejpam-48	602	22	completion	completion	NOUN
ejpam-48	602	23	of	of	ADP
ejpam-48	602	24	n	n	DET
ejpam-48	602	25	steps	step	NOUN
ejpam-48	602	26	,	,	PUNCT
ejpam-48	602	27	but	but	CCONJ
ejpam-48	602	28	,	,	PUNCT
ejpam-48	602	29	unlike	unlike	ADP
ejpam-48	602	30	david	david	PROPN
ejpam-48	602	31	and	and	CCONJ
ejpam-48	602	32	stan	stan	PROPN
ejpam-48	602	33	,	,	PUNCT
ejpam-48	602	34	he	he	PRON
ejpam-48	602	35	substituted	substitute	VERB
ejpam-48	602	36	∞	∞	PROPN
ejpam-48	602	37	for	for	ADP
ejpam-48	602	38	n	n	PRON
ejpam-48	602	39	as	as	SCONJ
ejpam-48	602	40	if	if	SCONJ
ejpam-48	602	41	it	it	PRON
ejpam-48	602	42	were	be	AUX
ejpam-48	602	43	a	a	DET
ejpam-48	602	44	final	final	ADJ
ejpam-48	602	45	natural	natural	ADJ
ejpam-48	602	46	number	number	NOUN
ejpam-48	602	47	.	.	PUNCT
ejpam-48	603	1	such	such	DET
ejpam-48	603	2	an	an	DET
ejpam-48	603	3	approach	approach	NOUN
ejpam-48	603	4	also	also	ADV
ejpam-48	603	5	works	work	VERB
ejpam-48	603	6	when	when	SCONJ
ejpam-48	603	7	considering	consider	VERB
ejpam-48	603	8	certain	certain	ADJ
ejpam-48	603	9	types	type	NOUN
ejpam-48	603	10	of	of	ADP
ejpam-48	603	11	infinite	infinite	ADJ
ejpam-48	603	12	limits	limit	NOUN
ejpam-48	603	13	in	in	ADP
ejpam-48	603	14	calculus	calculus	NOUN
ejpam-48	603	15	.	.	PUNCT
ejpam-48	604	1	the	the	DET
ejpam-48	604	2	important	important	ADJ
ejpam-48	604	3	point	point	NOUN
ejpam-48	604	4	in	in	ADP
ejpam-48	604	5	both	both	DET
ejpam-48	604	6	cases	case	NOUN
ejpam-48	604	7	,	,	PUNCT
ejpam-48	604	8	and	and	CCONJ
ejpam-48	604	9	highlighted	highlight	VERB
ejpam-48	604	10	in	in	ADP
ejpam-48	604	11	the	the	DET
ejpam-48	604	12	preliminary	preliminary	ADJ
ejpam-48	604	13	genetic	genetic	ADJ
ejpam-48	604	14	decomposition	decomposition	NOUN
ejpam-48	604	15	,	,	PUNCT
ejpam-48	604	16	is	be	AUX
ejpam-48	604	17	that	that	DET
ejpam-48	604	18	reasoning	reasoning	NOUN
ejpam-48	604	19	on	on	ADP
ejpam-48	604	20	the	the	DET
ejpam-48	604	21	basis	basis	NOUN
ejpam-48	604	22	of	of	ADP
ejpam-48	604	23	the	the	DET
ejpam-48	604	24	finite	finite	ADJ
ejpam-48	604	25	process	process	NOUN
ejpam-48	604	26	of	of	ADP
ejpam-48	604	27	moving	move	VERB
ejpam-48	604	28	the	the	DET
ejpam-48	604	29	tennis	tennis	NOUN
ejpam-48	604	30	balls	ball	NOUN
ejpam-48	604	31	,	,	PUNCT
ejpam-48	604	32	whether	whether	SCONJ
ejpam-48	604	33	that	that	PRON
ejpam-48	604	34	involves	involve	VERB
ejpam-48	604	35	applying	apply	VERB
ejpam-48	604	36	an	an	DET
ejpam-48	604	37	action	action	NOUN
ejpam-48	604	38	to	to	ADP
ejpam-48	604	39	the	the	DET
ejpam-48	604	40	finite	finite	ADJ
ejpam-48	604	41	process	process	NOUN
ejpam-48	604	42	or	or	CCONJ
ejpam-48	604	43	thinking	thinking	NOUN
ejpam-48	604	44	of	of	ADP
ejpam-48	604	45	the	the	DET
ejpam-48	604	46	iteration	iteration	NOUN
ejpam-48	604	47	throughnin	throughnin	PROPN
ejpam-48	604	48	finite	finite	PROPN
ejpam-48	604	49	terms	term	NOUN
ejpam-48	604	50	,	,	PUNCT
ejpam-48	604	51	does	do	AUX
ejpam-48	604	52	not	not	PART
ejpam-48	604	53	suffice	suffice	VERB
ejpam-48	604	54	.	.	PUNCT
ejpam-48	605	1	to	to	PART
ejpam-48	605	2	solve	solve	VERB
ejpam-48	605	3	the	the	DET
ejpam-48	605	4	tennis	tennis	NOUN
ejpam-48	605	5	ball	ball	NOUN
ejpam-48	605	6	problem	problem	NOUN
ejpam-48	605	7	,	,	PUNCT
ejpam-48	605	8	one	one	PRON
ejpam-48	605	9	must	must	AUX
ejpam-48	605	10	construct	construct	VERB
ejpam-48	605	11	an	an	DET
ejpam-48	605	12	infinite	infinite	ADJ
ejpam-48	605	13	process	process	NOUN
ejpam-48	605	14	.	.	PUNCT
ejpam-48	606	1	paul	paul	PROPN
ejpam-48	606	2	’s	’s	PART
ejpam-48	606	3	thinking	thinking	NOUN
ejpam-48	606	4	can	can	AUX
ejpam-48	606	5	also	also	ADV
ejpam-48	606	6	be	be	AUX
ejpam-48	606	7	interpreted	interpret	VERB
ejpam-48	606	8	in	in	ADP
ejpam-48	606	9	terms	term	NOUN
ejpam-48	606	10	of	of	ADP
ejpam-48	606	11	fischbein	fischbein	PROPN
ejpam-48	606	12	’s	’s	PART
ejpam-48	606	13	[	[	X
ejpam-48	606	14	7	7	NUM
ejpam-48	606	15	]	]	ADJ
ejpam-48	606	16	analysis	analysis	NOUN
ejpam-48	606	17	.	.	PUNCT
ejpam-48	607	1	paul	paul	PROPN
ejpam-48	607	2	believed	believe	VERB
ejpam-48	607	3	that	that	SCONJ
ejpam-48	607	4	the	the	DET
ejpam-48	607	5	subdivision	subdivision	NOUN
ejpam-48	607	6	steps	step	NOUN
ejpam-48	607	7	of	of	ADP
ejpam-48	607	8	the	the	DET
ejpam-48	607	9	time	time	NOUN
ejpam-48	607	10	process	process	NOUN
ejpam-48	607	11	outnumbered	outnumber	VERB
ejpam-48	607	12	the	the	DET
ejpam-48	607	13	natural	natural	ADJ
ejpam-48	607	14	numbers	number	NOUN
ejpam-48	607	15	.	.	PUNCT
ejpam-48	608	1	this	this	DET
ejpam-48	608	2	view	view	NOUN
ejpam-48	608	3	may	may	AUX
ejpam-48	608	4	be	be	AUX
ejpam-48	608	5	attributed	attribute	VERB
ejpam-48	608	6	in	in	ADP
ejpam-48	608	7	part	part	NOUN
ejpam-48	608	8	to	to	ADP
ejpam-48	608	9	seeing	see	VERB
ejpam-48	608	10	the	the	DET
ejpam-48	608	11	iteration	iteration	NOUN
ejpam-48	608	12	throughnas	throughna	NOUN
ejpam-48	608	13	finite	finite	PROPN
ejpam-48	608	14	.	.	PUNCT
ejpam-48	609	1	however	however	ADV
ejpam-48	609	2	,	,	PUNCT
ejpam-48	609	3	the	the	DET
ejpam-48	609	4	tacit	tacit	ADJ
ejpam-48	609	5	model	model	NOUN
ejpam-48	609	6	of	of	ADP
ejpam-48	609	7	time	time	NOUN
ejpam-48	609	8	as	as	ADP
ejpam-48	609	9	being	be	AUX
ejpam-48	609	10	like	like	ADP
ejpam-48	609	11	space	space	NOUN
ejpam-48	609	12	also	also	ADV
ejpam-48	609	13	appeared	appear	VERB
ejpam-48	609	14	to	to	PART
ejpam-48	609	15	play	play	VERB
ejpam-48	609	16	a	a	DET
ejpam-48	609	17	role	role	NOUN
ejpam-48	609	18	in	in	ADP
ejpam-48	609	19	his	his	PRON
ejpam-48	609	20	thinking	thinking	NOUN
ejpam-48	609	21	.	.	PUNCT
ejpam-48	610	1	throughout	throughout	ADP
ejpam-48	610	2	the	the	DET
ejpam-48	610	3	interview	interview	NOUN
ejpam-48	610	4	,	,	PUNCT
ejpam-48	610	5	he	he	PRON
ejpam-48	610	6	made	make	VERB
ejpam-48	610	7	remarks	remark	NOUN
ejpam-48	610	8	such	such	ADJ
ejpam-48	610	9	as	as	ADP
ejpam-48	610	10	“	"	PUNCT
ejpam-48	610	11	you	you	PRON
ejpam-48	610	12	’re	’re	AUX
ejpam-48	610	13	accelerating	accelerate	VERB
ejpam-48	610	14	[	[	PUNCT
ejpam-48	610	15	the	the	DET
ejpam-48	610	16	subdivisions	subdivision	NOUN
ejpam-48	610	17	of	of	ADP
ejpam-48	610	18	time	time	NOUN
ejpam-48	610	19	]	]	PUNCT
ejpam-48	610	20	at	at	ADP
ejpam-48	610	21	an	an	DET
ejpam-48	610	22	exponential	exponential	ADJ
ejpam-48	610	23	rate	rate	NOUN
ejpam-48	610	24	,	,	PUNCT
ejpam-48	610	25	”	"	PUNCT
ejpam-48	610	26	thus	thus	ADV
ejpam-48	610	27	focusing	focus	VERB
ejpam-48	610	28	particular	particular	ADJ
ejpam-48	610	29	attention	attention	NOUN
ejpam-48	610	30	on	on	ADP
ejpam-48	610	31	the	the	DET
ejpam-48	610	32	fact	fact	NOUN
ejpam-48	610	33	that	that	SCONJ
ejpam-48	610	34	successive	successive	ADJ
ejpam-48	610	35	subdivisions	subdivision	NOUN
ejpam-48	610	36	of	of	ADP
ejpam-48	610	37	the	the	DET
ejpam-48	610	38	time	time	NOUN
ejpam-48	610	39	process	process	NOUN
ejpam-48	610	40	occur	occur	VERB
ejpam-48	610	41	in	in	ADP
ejpam-48	610	42	closer	close	ADJ
ejpam-48	610	43	proximity	proximity	NOUN
ejpam-48	610	44	to	to	ADP
ejpam-48	610	45	one	one	NUM
ejpam-48	610	46	another	another	DET
ejpam-48	610	47	.	.	PUNCT
ejpam-48	611	1	on	on	ADP
ejpam-48	611	2	the	the	DET
ejpam-48	611	3	other	other	ADJ
ejpam-48	611	4	hand	hand	NOUN
ejpam-48	611	5	,	,	PUNCT
ejpam-48	611	6	the	the	DET
ejpam-48	611	7	distance	distance	NOUN
ejpam-48	611	8	between	between	ADP
ejpam-48	611	9	successive	successive	ADJ
ejpam-48	611	10	natural	natural	ADJ
ejpam-48	611	11	numbers	number	NOUN
ejpam-48	611	12	remains	remain	VERB
ejpam-48	611	13	constant	constant	ADJ
ejpam-48	611	14	.	.	PUNCT
ejpam-48	612	1	by	by	ADP
ejpam-48	612	2	focusing	focus	VERB
ejpam-48	612	3	on	on	ADP
ejpam-48	612	4	these	these	DET
ejpam-48	612	5	seemingly	seemingly	ADV
ejpam-48	612	6	divergent	divergent	ADJ
ejpam-48	612	7	properties	property	NOUN
ejpam-48	612	8	,	,	PUNCT
ejpam-48	612	9	paul	paul	PROPN
ejpam-48	612	10	may	may	AUX
ejpam-48	612	11	have	have	AUX
ejpam-48	612	12	had	have	VERB
ejpam-48	612	13	difficulty	difficulty	NOUN
ejpam-48	612	14	coordinating	coordinate	VERB
ejpam-48	612	15	,	,	PUNCT
ejpam-48	612	16	beyond	beyond	ADP
ejpam-48	612	17	finitely	finitely	ADV
ejpam-48	612	18	many	many	ADJ
ejpam-48	612	19	steps	step	NOUN
ejpam-48	612	20	,	,	PUNCT
ejpam-48	612	21	the	the	DET
ejpam-48	612	22	iteration	iteration	NOUN
ejpam-48	612	23	throughnwith	throughnwith	ADP
ejpam-48	612	24	the	the	DET
ejpam-48	612	25	passage	passage	NOUN
ejpam-48	612	26	of	of	ADP
ejpam-48	612	27	time	time	NOUN
ejpam-48	612	28	.	.	PUNCT
ejpam-48	613	1	the	the	DET
ejpam-48	613	2	problem	problem	NOUN
ejpam-48	613	3	,	,	PUNCT
ejpam-48	613	4	of	of	ADP
ejpam-48	613	5	course	course	NOUN
ejpam-48	613	6	,	,	PUNCT
ejpam-48	613	7	was	be	AUX
ejpam-48	613	8	that	that	SCONJ
ejpam-48	613	9	paul	paul	PROPN
ejpam-48	613	10	failed	fail	VERB
ejpam-48	613	11	to	to	PART
ejpam-48	613	12	focus	focus	VERB
ejpam-48	613	13	on	on	ADP
ejpam-48	613	14	the	the	DET
ejpam-48	613	15	most	most	ADV
ejpam-48	613	16	relevant	relevant	ADJ
ejpam-48	613	17	property	property	NOUN
ejpam-48	613	18	,	,	PUNCT
ejpam-48	613	19	namely	namely	ADV
ejpam-48	613	20	that	that	SCONJ
ejpam-48	613	21	both	both	DET
ejpam-48	613	22	processes	process	NOUN
ejpam-48	613	23	involve	involve	VERB
ejpam-48	613	24	a	a	DET
ejpam-48	613	25	countable	countable	ADJ
ejpam-48	613	26	sequence	sequence	NOUN
ejpam-48	613	27	of	of	ADP
ejpam-48	613	28	discrete	discrete	ADJ
ejpam-48	613	29	steps	step	NOUN
ejpam-48	613	30	that	that	PRON
ejpam-48	613	31	can	can	AUX
ejpam-48	613	32	be	be	AUX
ejpam-48	613	33	placed	place	VERB
ejpam-48	613	34	in	in	ADP
ejpam-48	613	35	correspondence	correspondence	NOUN
ejpam-48	613	36	.	.	PUNCT
ejpam-48	614	1	similar	similar	ADJ
ejpam-48	614	2	thinking	thinking	NOUN
ejpam-48	614	3	arose	arise	VERB
ejpam-48	614	4	in	in	ADP
ejpam-48	614	5	the	the	DET
ejpam-48	614	6	historical	historical	ADJ
ejpam-48	614	7	development	development	NOUN
ejpam-48	614	8	of	of	ADP
ejpam-48	614	9	infinity	infinity	NOUN
ejpam-48	614	10	.	.	PUNCT
ejpam-48	615	1	for	for	ADP
ejpam-48	615	2	instance	instance	NOUN
ejpam-48	615	3	,	,	PUNCT
ejpam-48	615	4	e.	e.	PROPN
ejpam-48	615	5	dubinsky	dubinsky	PROPN
ejpam-48	615	6	et	et	PROPN
ejpam-48	615	7	al	al	PROPN
ejpam-48	615	8	.	.	PUNCT
ejpam-48	615	9	/	/	SYM
ejpam-48	615	10	eur	eur	PROPN
ejpam-48	615	11	.	.	PUNCT
ejpam-48	616	1	j.	j.	PROPN
ejpam-48	616	2	pure	pure	PROPN
ejpam-48	616	3	.	.	PUNCT
ejpam-48	617	1	appl	appl	PROPN
ejpam-48	617	2	.	.	PUNCT
ejpam-48	617	3	math	math	NOUN
ejpam-48	617	4	.	.	PUNCT
ejpam-48	618	1	1	1	NUM
ejpam-48	618	2	,	,	PUNCT
ejpam-48	618	3	(	(	PUNCT
ejpam-48	618	4	2008	2008	NUM
ejpam-48	618	5	)	)	PUNCT
ejpam-48	618	6	,	,	PUNCT
ejpam-48	618	7	(	(	PUNCT
ejpam-48	618	8	99	99	NUM
ejpam-48	618	9	-	-	SYM
ejpam-48	618	10	121	121	NUM
ejpam-48	618	11	)	)	PUNCT
ejpam-48	618	12	120	120	NUM
ejpam-48	618	13	bolzano	bolzano	NOUN
ejpam-48	619	1	[	[	X
ejpam-48	619	2	19	19	NUM
ejpam-48	619	3	]	]	PUNCT
ejpam-48	619	4	,	,	PUNCT
ejpam-48	619	5	who	who	PRON
ejpam-48	619	6	played	play	VERB
ejpam-48	619	7	an	an	DET
ejpam-48	619	8	important	important	ADJ
ejpam-48	619	9	role	role	NOUN
ejpam-48	619	10	in	in	ADP
ejpam-48	619	11	moving	move	VERB
ejpam-48	619	12	human	human	ADJ
ejpam-48	619	13	understanding	understanding	NOUN
ejpam-48	619	14	of	of	ADP
ejpam-48	619	15	mathematical	mathematical	ADJ
ejpam-48	619	16	infinity	infinity	NOUN
ejpam-48	619	17	forward	forward	ADV
ejpam-48	619	18	,	,	PUNCT
ejpam-48	619	19	argued	argue	VERB
ejpam-48	619	20	that	that	SCONJ
ejpam-48	619	21	when	when	SCONJ
ejpam-48	619	22	given	give	VERB
ejpam-48	619	23	two	two	NUM
ejpam-48	619	24	segments	segment	NOUN
ejpam-48	619	25	of	of	ADP
ejpam-48	619	26	unequal	unequal	ADJ
ejpam-48	619	27	length	length	NOUN
ejpam-48	619	28	,	,	PUNCT
ejpam-48	619	29	the	the	DET
ejpam-48	619	30	points	point	NOUN
ejpam-48	619	31	in	in	ADP
ejpam-48	619	32	a	a	DET
ejpam-48	619	33	longer	long	ADJ
ejpam-48	619	34	segment	segment	NOUN
ejpam-48	619	35	would	would	AUX
ejpam-48	619	36	constitute	constitute	VERB
ejpam-48	619	37	a	a	DET
ejpam-48	619	38	larger	large	ADJ
ejpam-48	619	39	infinite	infinite	ADJ
ejpam-48	619	40	quantity	quantity	NOUN
ejpam-48	619	41	than	than	ADP
ejpam-48	619	42	that	that	PRON
ejpam-48	619	43	of	of	ADP
ejpam-48	619	44	a	a	DET
ejpam-48	619	45	shorter	short	ADJ
ejpam-48	619	46	segment	segment	NOUN
ejpam-48	619	47	.	.	PUNCT
ejpam-48	620	1	he	he	PRON
ejpam-48	620	2	made	make	VERB
ejpam-48	620	3	this	this	DET
ejpam-48	620	4	claim	claim	NOUN
ejpam-48	620	5	despite	despite	SCONJ
ejpam-48	620	6	noting	note	VERB
ejpam-48	620	7	that	that	SCONJ
ejpam-48	620	8	one	one	PRON
ejpam-48	620	9	could	could	AUX
ejpam-48	620	10	define	define	VERB
ejpam-48	620	11	a	a	DET
ejpam-48	620	12	bijective	bijective	ADJ
ejpam-48	620	13	correspondence	correspondence	NOUN
ejpam-48	620	14	between	between	ADP
ejpam-48	620	15	the	the	DET
ejpam-48	620	16	two	two	NUM
ejpam-48	620	17	segments	segment	NOUN
ejpam-48	620	18	.	.	PUNCT
ejpam-48	621	1	on	on	ADP
ejpam-48	621	2	the	the	DET
ejpam-48	621	3	other	other	ADJ
ejpam-48	621	4	hand	hand	NOUN
ejpam-48	621	5	,	,	PUNCT
ejpam-48	621	6	cantor	cantor	PROPN
ejpam-48	622	1	[	[	X
ejpam-48	622	2	20	20	NUM
ejpam-48	622	3	]	]	PUNCT
ejpam-48	622	4	used	use	VERB
ejpam-48	622	5	correspondence	correspondence	NOUN
ejpam-48	622	6	as	as	ADP
ejpam-48	622	7	the	the	DET
ejpam-48	622	8	sole	sole	ADJ
ejpam-48	622	9	means	mean	NOUN
ejpam-48	622	10	for	for	ADP
ejpam-48	622	11	the	the	DET
ejpam-48	622	12	comparison	comparison	NOUN
ejpam-48	622	13	of	of	ADP
ejpam-48	622	14	infinite	infinite	ADJ
ejpam-48	622	15	sets	set	NOUN
ejpam-48	622	16	.	.	PUNCT
ejpam-48	623	1	he	he	PRON
ejpam-48	623	2	understood	understand	VERB
ejpam-48	623	3	that	that	SCONJ
ejpam-48	623	4	properties	property	NOUN
ejpam-48	623	5	that	that	PRON
ejpam-48	623	6	might	might	AUX
ejpam-48	623	7	be	be	AUX
ejpam-48	623	8	relevant	relevant	ADJ
ejpam-48	623	9	in	in	ADP
ejpam-48	623	10	a	a	DET
ejpam-48	623	11	finite	finite	ADJ
ejpam-48	623	12	context	context	NOUN
ejpam-48	623	13	did	do	AUX
ejpam-48	623	14	not	not	PART
ejpam-48	623	15	apply	apply	VERB
ejpam-48	623	16	when	when	SCONJ
ejpam-48	623	17	working	work	VERB
ejpam-48	623	18	with	with	ADP
ejpam-48	623	19	infinite	infinite	ADJ
ejpam-48	623	20	collections	collection	NOUN
ejpam-48	623	21	.	.	PUNCT
ejpam-48	624	1	in	in	ADP
ejpam-48	624	2	a	a	DET
ejpam-48	624	3	similar	similar	ADJ
ejpam-48	624	4	manner	manner	NOUN
ejpam-48	624	5	,	,	PUNCT
ejpam-48	624	6	sam	sam	PROPN
ejpam-48	624	7	focused	focus	VERB
ejpam-48	624	8	exclusively	exclusively	ADV
ejpam-48	624	9	on	on	ADP
ejpam-48	624	10	the	the	DET
ejpam-48	624	11	fact	fact	NOUN
ejpam-48	624	12	that	that	SCONJ
ejpam-48	624	13	the	the	DET
ejpam-48	624	14	iteration	iteration	NOUN
ejpam-48	624	15	throughnand	throughnand	NOUN
ejpam-48	624	16	the	the	DET
ejpam-48	624	17	passage	passage	NOUN
ejpam-48	624	18	of	of	ADP
ejpam-48	624	19	time	time	NOUN
ejpam-48	624	20	both	both	PRON
ejpam-48	624	21	involved	involve	VERB
ejpam-48	624	22	a	a	DET
ejpam-48	624	23	countable	countable	ADJ
ejpam-48	624	24	sequence	sequence	NOUN
ejpam-48	624	25	of	of	ADP
ejpam-48	624	26	discrete	discrete	ADJ
ejpam-48	624	27	steps	step	NOUN
ejpam-48	624	28	.	.	PUNCT
ejpam-48	625	1	unlike	unlike	ADP
ejpam-48	625	2	paul	paul	PROPN
ejpam-48	625	3	,	,	PUNCT
ejpam-48	625	4	sam	sam	PROPN
ejpam-48	625	5	understood	understand	VERB
ejpam-48	625	6	that	that	SCONJ
ejpam-48	625	7	the	the	DET
ejpam-48	625	8	correspondence	correspondence	NOUN
ejpam-48	625	9	nnn	nnn	NOUN
ejpam-48	625	10	2	2	NUM
ejpam-48	625	11	1	1	NUM
ejpam-48	625	12	:	:	PUNCT
ejpam-48	625	13	→	→	PUNCT
ejpam-48	625	14	is	be	AUX
ejpam-48	625	15	an	an	DET
ejpam-48	625	16	infinite	infinite	ADJ
ejpam-48	625	17	process	process	NOUN
ejpam-48	625	18	.	.	PUNCT
ejpam-48	626	1	while	while	SCONJ
ejpam-48	626	2	the	the	DET
ejpam-48	626	3	interview	interview	NOUN
ejpam-48	626	4	analysis	analysis	NOUN
ejpam-48	626	5	generally	generally	ADV
ejpam-48	626	6	confirmed	confirm	VERB
ejpam-48	626	7	the	the	DET
ejpam-48	626	8	preliminary	preliminary	ADJ
ejpam-48	626	9	genetic	genetic	ADJ
ejpam-48	626	10	decomposition	decomposition	NOUN
ejpam-48	626	11	,	,	PUNCT
ejpam-48	626	12	two	two	NUM
ejpam-48	626	13	possible	possible	ADJ
ejpam-48	626	14	refinements	refinement	NOUN
ejpam-48	626	15	can	can	AUX
ejpam-48	626	16	be	be	AUX
ejpam-48	626	17	cited	cite	VERB
ejpam-48	626	18	:	:	PUNCT
ejpam-48	626	19	(	(	PUNCT
ejpam-48	626	20	1	1	X
ejpam-48	626	21	)	)	PUNCT
ejpam-48	626	22	construction	construction	NOUN
ejpam-48	626	23	of	of	ADP
ejpam-48	626	24	the	the	DET
ejpam-48	626	25	process	process	NOUN
ejpam-48	626	26	of	of	ADP
ejpam-48	626	27	iterating	iterate	VERB
ejpam-48	626	28	throughnmay	throughnmay	NOUN
ejpam-48	626	29	be	be	AUX
ejpam-48	626	30	facilitated	facilitate	VERB
ejpam-48	626	31	by	by	ADP
ejpam-48	626	32	its	its	PRON
ejpam-48	626	33	coordination	coordination	NOUN
ejpam-48	626	34	with	with	ADP
ejpam-48	626	35	an	an	DET
ejpam-48	626	36	iterative	iterative	NOUN
ejpam-48	626	37	process	process	NOUN
ejpam-48	626	38	whose	whose	DET
ejpam-48	626	39	state	state	NOUN
ejpam-48	626	40	at	at	ADP
ejpam-48	626	41	infinity	infinity	NOUN
ejpam-48	626	42	is	be	AUX
ejpam-48	626	43	readily	readily	ADV
ejpam-48	626	44	apparent	apparent	ADJ
ejpam-48	626	45	;	;	PUNCT
ejpam-48	626	46	and	and	CCONJ
ejpam-48	626	47	(	(	PUNCT
ejpam-48	626	48	2	2	X
ejpam-48	626	49	)	)	PUNCT
ejpam-48	626	50	the	the	DET
ejpam-48	626	51	successful	successful	ADJ
ejpam-48	626	52	coordination	coordination	NOUN
ejpam-48	626	53	of	of	ADP
ejpam-48	626	54	two	two	NUM
ejpam-48	626	55	infinite	infinite	ADJ
ejpam-48	626	56	iterative	iterative	NOUN
ejpam-48	626	57	processes	process	NOUN
ejpam-48	626	58	may	may	AUX
ejpam-48	626	59	require	require	VERB
ejpam-48	626	60	that	that	DET
ejpam-48	626	61	one	one	NUM
ejpam-48	626	62	,	,	PUNCT
ejpam-48	626	63	but	but	CCONJ
ejpam-48	626	64	not	not	PART
ejpam-48	626	65	necessarily	necessarily	ADV
ejpam-48	626	66	both	both	PRON
ejpam-48	626	67	,	,	PUNCT
ejpam-48	626	68	iterative	iterative	NOUN
ejpam-48	626	69	processes	process	NOUN
ejpam-48	626	70	be	be	AUX
ejpam-48	626	71	conceived	conceive	VERB
ejpam-48	626	72	as	as	ADP
ejpam-48	626	73	complete	complete	ADJ
ejpam-48	626	74	.	.	PUNCT
ejpam-48	627	1	given	give	VERB
ejpam-48	627	2	that	that	SCONJ
ejpam-48	627	3	these	these	DET
ejpam-48	627	4	possible	possible	ADJ
ejpam-48	627	5	refinements	refinement	NOUN
ejpam-48	627	6	surfaced	surface	VERB
ejpam-48	627	7	with	with	ADP
ejpam-48	627	8	only	only	ADV
ejpam-48	627	9	a	a	DET
ejpam-48	627	10	single	single	ADJ
ejpam-48	627	11	student	student	NOUN
ejpam-48	627	12	,	,	PUNCT
ejpam-48	627	13	further	further	ADJ
ejpam-48	627	14	research	research	NOUN
ejpam-48	627	15	on	on	ADP
ejpam-48	627	16	two	two	NUM
ejpam-48	627	17	-	-	PUNCT
ejpam-48	627	18	dimensional	dimensional	ADJ
ejpam-48	627	19	infinite	infinite	ADJ
ejpam-48	627	20	iterative	iterative	NOUN
ejpam-48	627	21	processes	process	NOUN
ejpam-48	627	22	is	be	AUX
ejpam-48	627	23	needed	need	VERB
ejpam-48	627	24	to	to	PART
ejpam-48	627	25	confirm	confirm	VERB
ejpam-48	627	26	this	this	DET
ejpam-48	627	27	finding	finding	NOUN
ejpam-48	627	28	.	.	PUNCT
ejpam-48	628	1	although	although	SCONJ
ejpam-48	628	2	our	our	PRON
ejpam-48	628	3	analysis	analysis	NOUN
ejpam-48	628	4	neither	neither	CCONJ
ejpam-48	628	5	tests	test	NOUN
ejpam-48	628	6	nor	nor	CCONJ
ejpam-48	628	7	prescribes	prescribe	VERB
ejpam-48	628	8	a	a	DET
ejpam-48	628	9	specific	specific	ADJ
ejpam-48	628	10	instructional	instructional	ADJ
ejpam-48	628	11	treatment	treatment	NOUN
ejpam-48	628	12	,	,	PUNCT
ejpam-48	628	13	it	it	PRON
ejpam-48	628	14	underscores	underscore	VERB
ejpam-48	628	15	the	the	DET
ejpam-48	628	16	issues	issue	NOUN
ejpam-48	628	17	that	that	PRON
ejpam-48	628	18	arise	arise	VERB
ejpam-48	628	19	in	in	ADP
ejpam-48	628	20	the	the	DET
ejpam-48	628	21	construction	construction	NOUN
ejpam-48	628	22	of	of	ADP
ejpam-48	628	23	iterative	iterative	NOUN
ejpam-48	628	24	processes	process	NOUN
ejpam-48	628	25	;	;	PUNCT
ejpam-48	628	26	specifically	specifically	ADV
ejpam-48	628	27	,	,	PUNCT
ejpam-48	628	28	the	the	DET
ejpam-48	628	29	issues	issue	NOUN
ejpam-48	628	30	of	of	ADP
ejpam-48	628	31	completeness	completeness	NOUN
ejpam-48	628	32	,	,	PUNCT
ejpam-48	628	33	totality	totality	NOUN
ejpam-48	628	34	,	,	PUNCT
ejpam-48	628	35	transcendence	transcendence	NOUN
ejpam-48	628	36	,	,	PUNCT
ejpam-48	628	37	and	and	CCONJ
ejpam-48	628	38	coordination	coordination	NOUN
ejpam-48	628	39	.	.	PUNCT
ejpam-48	629	1	as	as	SCONJ
ejpam-48	629	2	the	the	DET
ejpam-48	629	3	interview	interview	NOUN
ejpam-48	629	4	results	result	NOUN
ejpam-48	629	5	indicate	indicate	VERB
ejpam-48	629	6	,	,	PUNCT
ejpam-48	629	7	students	student	NOUN
ejpam-48	629	8	often	often	ADV
ejpam-48	629	9	have	have	VERB
ejpam-48	629	10	difficulty	difficulty	NOUN
ejpam-48	629	11	constructing	construct	VERB
ejpam-48	629	12	iterative	iterative	NOUN
ejpam-48	629	13	processes	process	NOUN
ejpam-48	629	14	,	,	PUNCT
ejpam-48	629	15	thus	thus	ADV
ejpam-48	629	16	warranting	warrant	VERB
ejpam-48	629	17	the	the	DET
ejpam-48	629	18	need	need	NOUN
ejpam-48	629	19	for	for	ADP
ejpam-48	629	20	instructional	instructional	ADJ
ejpam-48	629	21	intervention	intervention	NOUN
ejpam-48	629	22	.	.	PUNCT
ejpam-48	630	1	given	give	VERB
ejpam-48	630	2	the	the	DET
ejpam-48	630	3	crucial	crucial	ADJ
ejpam-48	630	4	role	role	NOUN
ejpam-48	630	5	that	that	PRON
ejpam-48	630	6	infinite	infinite	VERB
ejpam-48	630	7	iteration	iteration	NOUN
ejpam-48	630	8	plays	play	VERB
ejpam-48	630	9	in	in	ADP
ejpam-48	630	10	thinking	think	VERB
ejpam-48	630	11	about	about	ADP
ejpam-48	630	12	aspects	aspect	NOUN
ejpam-48	630	13	of	of	ADP
ejpam-48	630	14	infinity	infinity	NOUN
ejpam-48	630	15	,	,	PUNCT
ejpam-48	630	16	as	as	SCONJ
ejpam-48	630	17	noted	note	VERB
ejpam-48	630	18	in	in	ADP
ejpam-48	630	19	[	[	X
ejpam-48	630	20	1	1	NUM
ejpam-48	630	21	]	]	PUNCT
ejpam-48	630	22	,	,	PUNCT
ejpam-48	630	23	[	[	X
ejpam-48	630	24	2	2	NUM
ejpam-48	630	25	]	]	PUNCT
ejpam-48	630	26	,	,	PUNCT
ejpam-48	630	27	[	[	X
ejpam-48	630	28	3	3	NUM
ejpam-48	630	29	]	]	PUNCT
ejpam-48	630	30	,	,	PUNCT
ejpam-48	630	31	the	the	DET
ejpam-48	630	32	ultimate	ultimate	ADJ
ejpam-48	630	33	goal	goal	NOUN
ejpam-48	630	34	of	of	ADP
ejpam-48	630	35	empirical	empirical	ADJ
ejpam-48	630	36	studies	study	NOUN
ejpam-48	630	37	such	such	ADJ
ejpam-48	630	38	as	as	ADP
ejpam-48	630	39	this	this	PRON
ejpam-48	630	40	is	be	AUX
ejpam-48	630	41	to	to	PART
ejpam-48	630	42	guide	guide	VERB
ejpam-48	630	43	the	the	DET
ejpam-48	630	44	development	development	NOUN
ejpam-48	630	45	of	of	ADP
ejpam-48	630	46	testable	testable	ADJ
ejpam-48	630	47	pedagogical	pedagogical	ADJ
ejpam-48	630	48	materials	material	NOUN
ejpam-48	630	49	that	that	PRON
ejpam-48	630	50	address	address	VERB
ejpam-48	630	51	the	the	DET
ejpam-48	630	52	range	range	NOUN
ejpam-48	630	53	of	of	ADP
ejpam-48	630	54	student	student	NOUN
ejpam-48	630	55	difficulties	difficulty	NOUN
ejpam-48	630	56	associated	associate	VERB
ejpam-48	630	57	with	with	ADP
ejpam-48	630	58	infinity	infinity	NOUN
ejpam-48	630	59	concepts	concept	NOUN
ejpam-48	630	60	.	.	PUNCT
ejpam-48	631	1	references	reference	NOUN
ejpam-48	631	2	[	[	X
ejpam-48	631	3	1	1	NUM
ejpam-48	631	4	]	]	X
ejpam-48	631	5	:	:	PUNCT
ejpam-48	631	6	g.	g.	PROPN
ejpam-48	631	7	lakoff	lakoff	PROPN
ejpam-48	631	8	,	,	PUNCT
ejpam-48	631	9	r.	r.	PROPN
ejpam-48	631	10	núñez	núñez	PROPN
ejpam-48	631	11	,	,	PUNCT
ejpam-48	631	12	where	where	SCONJ
ejpam-48	631	13	mathematics	mathematic	NOUN
ejpam-48	631	14	comes	come	VERB
ejpam-48	631	15	from	from	ADP
ejpam-48	631	16	,	,	PUNCT
ejpam-48	631	17	basic	basic	ADJ
ejpam-48	631	18	books	book	NOUN
ejpam-48	631	19	,	,	PUNCT
ejpam-48	631	20	new	new	PROPN
ejpam-48	631	21	york	york	PROPN
ejpam-48	631	22	,	,	PUNCT
ejpam-48	631	23	2000	2000	NUM
ejpam-48	631	24	.	.	PUNCT
ejpam-48	632	1	[	[	X
ejpam-48	632	2	2	2	NUM
ejpam-48	632	3	]	]	PUNCT
ejpam-48	632	4	:	:	PUNCT
ejpam-48	632	5	e.	e.	PROPN
ejpam-48	632	6	dubinsky	dubinsky	PROPN
ejpam-48	632	7	,	,	PUNCT
ejpam-48	632	8	k.	k.	PROPN
ejpam-48	632	9	weller	weller	PROPN
ejpam-48	632	10	,	,	PUNCT
ejpam-48	632	11	m.	m.	NOUN
ejpam-48	632	12	mcdonald	mcdonald	PROPN
ejpam-48	632	13	,	,	PUNCT
ejpam-48	632	14	a.	a.	PROPN
ejpam-48	632	15	brown	brown	PROPN
ejpam-48	632	16	,	,	PUNCT
ejpam-48	632	17	a.	a.	NOUN
ejpam-48	632	18	,	,	PUNCT
ejpam-48	632	19	some	some	DET
ejpam-48	632	20	historical	historical	ADJ
ejpam-48	632	21	issues	issue	NOUN
ejpam-48	632	22	and	and	CCONJ
ejpam-48	632	23	paradoxes	paradox	NOUN
ejpam-48	632	24	regarding	regard	VERB
ejpam-48	632	25	the	the	DET
ejpam-48	632	26	concept	concept	NOUN
ejpam-48	632	27	of	of	ADP
ejpam-48	632	28	infinity	infinity	NOUN
ejpam-48	632	29	:	:	PUNCT
ejpam-48	632	30	an	an	DET
ejpam-48	632	31	apos	apos	NOUN
ejpam-48	632	32	analysis	analysis	NOUN
ejpam-48	632	33	:	:	PUNCT
ejpam-48	632	34	part	part	NOUN
ejpam-48	632	35	1	1	NUM
ejpam-48	632	36	,	,	PUNCT
ejpam-48	632	37	educational	educational	ADJ
ejpam-48	632	38	studies	study	NOUN
ejpam-48	632	39	in	in	ADP
ejpam-48	632	40	mathematics	mathematic	NOUN
ejpam-48	632	41	,	,	PUNCT
ejpam-48	632	42	58	58	NUM
ejpam-48	632	43	,	,	PUNCT
ejpam-48	632	44	3	3	NUM
ejpam-48	632	45	:	:	SYM
ejpam-48	632	46	335	335	NUM
ejpam-48	632	47	–	–	PUNCT
ejpam-48	632	48	359	359	NUM
ejpam-48	632	49	(	(	PUNCT
ejpam-48	632	50	2005a	2005a	NUM
ejpam-48	632	51	)	)	PUNCT
ejpam-48	632	52	.	.	PUNCT
ejpam-48	633	1	[	[	X
ejpam-48	633	2	3	3	NUM
ejpam-48	633	3	]	]	X
ejpam-48	633	4	:	:	PUNCT
ejpam-48	633	5	e.	e.	PROPN
ejpam-48	633	6	dubinsky	dubinsky	PROPN
ejpam-48	633	7	,	,	PUNCT
ejpam-48	633	8	k.	k.	PROPN
ejpam-48	633	9	,	,	PUNCT
ejpam-48	633	10	weller	weller	NOUN
ejpam-48	633	11	,	,	PUNCT
ejpam-48	633	12	m.	m.	NOUN
ejpam-48	633	13	mcdonald	mcdonald	PROPN
ejpam-48	633	14	,	,	PUNCT
ejpam-48	633	15	a.	a.	NOUN
ejpam-48	633	16	brown	brown	PROPN
ejpam-48	633	17	,	,	PUNCT
ejpam-48	633	18	some	some	DET
ejpam-48	633	19	historical	historical	ADJ
ejpam-48	633	20	issues	issue	NOUN
ejpam-48	633	21	and	and	CCONJ
ejpam-48	633	22	paradoxes	paradox	NOUN
ejpam-48	633	23	regarding	regard	VERB
ejpam-48	633	24	the	the	DET
ejpam-48	633	25	concept	concept	NOUN
ejpam-48	633	26	of	of	ADP
ejpam-48	633	27	infinity	infinity	NOUN
ejpam-48	633	28	:	:	PUNCT
ejpam-48	633	29	an	an	DET
ejpam-48	633	30	apos	apos	NOUN
ejpam-48	633	31	based	base	VERB
ejpam-48	633	32	analysis	analysis	NOUN
ejpam-48	633	33	:	:	PUNCT
ejpam-48	633	34	part	part	NOUN
ejpam-48	633	35	2	2	NUM
ejpam-48	633	36	,	,	PUNCT
ejpam-48	633	37	educational	educational	ADJ
ejpam-48	633	38	studies	study	NOUN
ejpam-48	633	39	in	in	ADP
ejpam-48	633	40	mathematics	mathematic	NOUN
ejpam-48	633	41	,	,	PUNCT
ejpam-48	633	42	60	60	NUM
ejpam-48	633	43	,	,	PUNCT
ejpam-48	633	44	2	2	NUM
ejpam-48	633	45	:	:	SYM
ejpam-48	633	46	253	253	NUM
ejpam-48	633	47	–	–	PUNCT
ejpam-48	633	48	266	266	NUM
ejpam-48	633	49	(	(	PUNCT
ejpam-48	633	50	2005b	2005b	NUM
ejpam-48	633	51	)	)	PUNCT
ejpam-48	633	52	.	.	PUNCT
ejpam-48	634	1	[	[	X
ejpam-48	634	2	4	4	NUM
ejpam-48	634	3	]	]	PUNCT
ejpam-48	634	4	:	:	PUNCT
ejpam-48	634	5	a.	a.	NOUN
ejpam-48	634	6	brown	brown	PROPN
ejpam-48	634	7	,	,	PUNCT
ejpam-48	634	8	m.	m.	NOUN
ejpam-48	634	9	mcdonald	mcdonald	PROPN
ejpam-48	634	10	,	,	PUNCT
ejpam-48	634	11	k.	k.	PROPN
ejpam-48	634	12	weller	weller	PROPN
ejpam-48	634	13	,	,	PUNCT
ejpam-48	634	14	step	step	NOUN
ejpam-48	634	15	by	by	ADP
ejpam-48	634	16	step	step	NOUN
ejpam-48	634	17	:	:	PUNCT
ejpam-48	634	18	infinite	infinite	ADJ
ejpam-48	634	19	iterative	iterative	NOUN
ejpam-48	634	20	processes	process	NOUN
ejpam-48	634	21	and	and	CCONJ
ejpam-48	634	22	actual	actual	ADJ
ejpam-48	634	23	infinity	infinity	NOUN
ejpam-48	634	24	,	,	PUNCT
ejpam-48	634	25	in	in	ADP
ejpam-48	634	26	research	research	NOUN
ejpam-48	634	27	in	in	ADP
ejpam-48	634	28	collegiate	collegiate	ADJ
ejpam-48	634	29	mathematics	mathematic	NOUN
ejpam-48	634	30	(	(	PUNCT
ejpam-48	634	31	f.	f.	PROPN
ejpam-48	634	32	hitt	hitt	PROPN
ejpam-48	634	33	,	,	PUNCT
ejpam-48	634	34	d.	d.	PROPN
ejpam-48	634	35	holton	holton	PROPN
ejpam-48	634	36	,	,	PUNCT
ejpam-48	634	37	p.	p.	PROPN
ejpam-48	634	38	thompson	thompson	PROPN
ejpam-48	634	39	,	,	PUNCT
ejpam-48	634	40	eds	ed	NOUN
ejpam-48	634	41	.	.	PUNCT
ejpam-48	634	42	)	)	PUNCT
ejpam-48	634	43	,	,	PUNCT
ejpam-48	634	44	american	american	PROPN
ejpam-48	634	45	mathematical	mathematical	ADJ
ejpam-48	634	46	society	society	NOUN
ejpam-48	634	47	,	,	PUNCT
ejpam-48	634	48	providence	providence	NOUN
ejpam-48	634	49	,	,	PUNCT
ejpam-48	634	50	ri	ri	PROPN
ejpam-48	634	51	,	,	PUNCT
ejpam-48	634	52	to	to	PART
ejpam-48	634	53	appear	appear	VERB
ejpam-48	634	54	.	.	PUNCT
ejpam-48	635	1	[	[	X
ejpam-48	635	2	5	5	NUM
ejpam-48	635	3	]	]	PUNCT
ejpam-48	635	4	:	:	PUNCT
ejpam-48	635	5	r.	r.	PROPN
ejpam-48	635	6	falk	falk	PROPN
ejpam-48	635	7	,	,	PUNCT
ejpam-48	635	8	infinity	infinity	NOUN
ejpam-48	635	9	:	:	PUNCT
ejpam-48	635	10	a	a	DET
ejpam-48	635	11	cognitive	cognitive	ADJ
ejpam-48	635	12	challenge	challenge	NOUN
ejpam-48	635	13	,	,	PUNCT
ejpam-48	635	14	theory	theory	NOUN
ejpam-48	635	15	and	and	CCONJ
ejpam-48	635	16	psychology	psychology	NOUN
ejpam-48	635	17	,	,	PUNCT
ejpam-48	635	18	4	4	NUM
ejpam-48	635	19	,	,	PUNCT
ejpam-48	635	20	1	1	NUM
ejpam-48	635	21	:	:	SYM
ejpam-48	635	22	35	35	NUM
ejpam-48	635	23	-	-	SYM
ejpam-48	635	24	60	60	NUM
ejpam-48	635	25	(	(	PUNCT
ejpam-48	635	26	1994	1994	NUM
ejpam-48	635	27	)	)	PUNCT
ejpam-48	635	28	.	.	PUNCT
ejpam-48	636	1	[	[	X
ejpam-48	636	2	6	6	NUM
ejpam-48	636	3	]	]	X
ejpam-48	636	4	:	:	PUNCT
ejpam-48	636	5	m.	m.	NOUN
ejpam-48	636	6	asiala	asiala	PROPN
ejpam-48	636	7	,	,	PUNCT
ejpam-48	636	8	a.	a.	NOUN
ejpam-48	636	9	brown	brown	PROPN
ejpam-48	636	10	,	,	PUNCT
ejpam-48	636	11	d.	d.	PROPN
ejpam-48	636	12	devries	devries	PROPN
ejpam-48	636	13	,	,	PUNCT
ejpam-48	636	14	e.	e.	PROPN
ejpam-48	636	15	dubinsky	dubinsky	PROPN
ejpam-48	636	16	,	,	PUNCT
ejpam-48	636	17	d.	d.	PROPN
ejpam-48	636	18	mathews	mathews	PROPN
ejpam-48	636	19	,	,	PUNCT
ejpam-48	636	20	k.	k.	PROPN
ejpam-48	636	21	thomas	thomas	PROPN
ejpam-48	636	22	,	,	PUNCT
ejpam-48	636	23	a	a	DET
ejpam-48	636	24	framework	framework	NOUN
ejpam-48	636	25	for	for	ADP
ejpam-48	636	26	research	research	NOUN
ejpam-48	636	27	and	and	CCONJ
ejpam-48	636	28	curriculum	curriculum	NOUN
ejpam-48	636	29	development	development	NOUN
ejpam-48	636	30	in	in	ADP
ejpam-48	636	31	undergraduate	undergraduate	ADJ
ejpam-48	636	32	mathematics	mathematic	NOUN
ejpam-48	636	33	education	education	NOUN
ejpam-48	636	34	,	,	PUNCT
ejpam-48	636	35	in	in	ADP
ejpam-48	636	36	,	,	PUNCT
ejpam-48	636	37	research	research	NOUN
ejpam-48	636	38	in	in	ADP
ejpam-48	636	39	collegiate	collegiate	ADJ
ejpam-48	636	40	mathematics	mathematics	PROPN
ejpam-48	636	41	education	education	PROPN
ejpam-48	636	42	ii	ii	PROPN
ejpam-48	636	43	(	(	PUNCT
ejpam-48	636	44	j.	j.	PROPN
ejpam-48	636	45	kaput	kaput	PROPN
ejpam-48	636	46	,	,	PUNCT
ejpam-48	636	47	a.h	a.h	PROPN
ejpam-48	636	48	.	.	PROPN
ejpam-48	636	49	schoenfeld	schoenfeld	PROPN
ejpam-48	636	50	,	,	PUNCT
ejpam-48	636	51	e.	e.	PROPN
ejpam-48	636	52	dubinsky	dubinsky	PROPN
ejpam-48	636	53	,	,	PUNCT
ejpam-48	636	54	eds	eds	PROPN
ejpam-48	636	55	.	.	PUNCT
ejpam-48	636	56	)	)	PUNCT
ejpam-48	636	57	,	,	PUNCT
ejpam-48	636	58	american	american	PROPN
ejpam-48	636	59	mathematical	mathematical	ADJ
ejpam-48	636	60	society	society	NOUN
ejpam-48	636	61	,	,	PUNCT
ejpam-48	636	62	providence	providence	NOUN
ejpam-48	636	63	,	,	PUNCT
ejpam-48	636	64	ri	ri	NOUN
ejpam-48	636	65	,	,	PUNCT
ejpam-48	636	66	1996	1996	NUM
ejpam-48	636	67	.	.	PUNCT
ejpam-48	637	1	[	[	X
ejpam-48	637	2	7	7	NUM
ejpam-48	637	3	]	]	PUNCT
ejpam-48	637	4	:	:	PUNCT
ejpam-48	637	5	e.	e.	PROPN
ejpam-48	637	6	fischbein	fischbein	PROPN
ejpam-48	637	7	,	,	PUNCT
ejpam-48	637	8	tacit	tacit	ADJ
ejpam-48	637	9	models	model	NOUN
ejpam-48	637	10	of	of	ADP
ejpam-48	637	11	infinity	infinity	NOUN
ejpam-48	637	12	,	,	PUNCT
ejpam-48	637	13	educational	educational	ADJ
ejpam-48	637	14	studies	study	NOUN
ejpam-48	637	15	in	in	ADP
ejpam-48	637	16	mathematics	mathematic	NOUN
ejpam-48	637	17	,	,	PUNCT
ejpam-48	637	18	48	48	NUM
ejpam-48	637	19	,	,	PUNCT
ejpam-48	637	20	2/3	2/3	NUM
ejpam-48	637	21	:	:	PUNCT
ejpam-48	637	22	309	309	NUM
ejpam-48	637	23	-	-	SYM
ejpam-48	637	24	329	329	NUM
ejpam-48	637	25	(	(	PUNCT
ejpam-48	637	26	2001	2001	NUM
ejpam-48	637	27	)	)	PUNCT
ejpam-48	637	28	.	.	PUNCT
ejpam-48	638	1	e.	e.	PROPN
ejpam-48	638	2	dubinsky	dubinsky	PROPN
ejpam-48	638	3	et	et	PROPN
ejpam-48	638	4	al	al	PROPN
ejpam-48	638	5	.	.	PUNCT
ejpam-48	638	6	/	/	SYM
ejpam-48	638	7	eur	eur	PROPN
ejpam-48	638	8	.	.	PUNCT
ejpam-48	639	1	j.	j.	PROPN
ejpam-48	639	2	pure	pure	PROPN
ejpam-48	639	3	.	.	PUNCT
ejpam-48	640	1	appl	appl	PROPN
ejpam-48	640	2	.	.	PUNCT
ejpam-48	640	3	math	math	NOUN
ejpam-48	640	4	.	.	PUNCT
ejpam-48	641	1	1	1	NUM
ejpam-48	641	2	,	,	PUNCT
ejpam-48	641	3	(	(	PUNCT
ejpam-48	641	4	2008	2008	NUM
ejpam-48	641	5	)	)	PUNCT
ejpam-48	642	1	,	,	PUNCT
ejpam-48	642	2	(	(	PUNCT
ejpam-48	642	3	99	99	NUM
ejpam-48	642	4	-	-	SYM
ejpam-48	642	5	121	121	NUM
ejpam-48	642	6	)	)	PUNCT
ejpam-48	642	7	121	121	NUM
ejpam-48	643	1	[	[	X
ejpam-48	643	2	8	8	NUM
ejpam-48	643	3	]	]	PUNCT
ejpam-48	643	4	:	:	PUNCT
ejpam-48	643	5	j.	j.	PROPN
ejpam-48	643	6	piaget	piaget	PROPN
ejpam-48	643	7	,	,	PUNCT
ejpam-48	643	8	genetic	genetic	ADJ
ejpam-48	643	9	epistemology	epistemology	NOUN
ejpam-48	643	10	,	,	PUNCT
ejpam-48	643	11	columbia	columbia	PROPN
ejpam-48	643	12	university	university	PROPN
ejpam-48	643	13	press	press	NOUN
ejpam-48	643	14	,	,	PUNCT
ejpam-48	643	15	new	new	PROPN
ejpam-48	643	16	york	york	PROPN
ejpam-48	643	17	,	,	PUNCT
ejpam-48	643	18	1970	1970	NUM
ejpam-48	643	19	.	.	PUNCT
ejpam-48	644	1	[	[	X
ejpam-48	644	2	9	9	NUM
ejpam-48	644	3	]	]	PUNCT
ejpam-48	644	4	:	:	PUNCT
ejpam-48	644	5	a.	a.	NOUN
ejpam-48	644	6	sfard	sfard	NOUN
ejpam-48	644	7	,	,	PUNCT
ejpam-48	644	8	operational	operational	ADJ
ejpam-48	644	9	origins	origin	NOUN
ejpam-48	644	10	of	of	ADP
ejpam-48	644	11	mathematical	mathematical	ADJ
ejpam-48	644	12	objects	object	NOUN
ejpam-48	644	13	and	and	CCONJ
ejpam-48	644	14	the	the	DET
ejpam-48	644	15	quandary	quandary	NOUN
ejpam-48	644	16	of	of	ADP
ejpam-48	644	17	reification	reification	NOUN
ejpam-48	644	18	:	:	PUNCT
ejpam-48	644	19	the	the	DET
ejpam-48	644	20	case	case	NOUN
ejpam-48	644	21	of	of	ADP
ejpam-48	644	22	function	function	NOUN
ejpam-48	644	23	,	,	PUNCT
ejpam-48	644	24	in	in	ADP
ejpam-48	644	25	the	the	DET
ejpam-48	644	26	concept	concept	NOUN
ejpam-48	644	27	of	of	ADP
ejpam-48	644	28	function	function	NOUN
ejpam-48	644	29	:	:	PUNCT
ejpam-48	644	30	aspects	aspect	NOUN
ejpam-48	644	31	of	of	ADP
ejpam-48	644	32	epistemology	epistemology	NOUN
ejpam-48	644	33	and	and	CCONJ
ejpam-48	644	34	pedagogy	pedagogy	NOUN
ejpam-48	644	35	(	(	PUNCT
ejpam-48	644	36	g.	g.	PROPN
ejpam-48	644	37	harel	harel	PROPN
ejpam-48	644	38	,	,	PUNCT
ejpam-48	644	39	e.	e.	PROPN
ejpam-48	644	40	dubinsky	dubinsky	PROPN
ejpam-48	644	41	,	,	PUNCT
ejpam-48	644	42	eds	eds	PROPN
ejpam-48	644	43	.	.	PUNCT
ejpam-48	644	44	)	)	PUNCT
ejpam-48	644	45	,	,	PUNCT
ejpam-48	644	46	maa	maa	PROPN
ejpam-48	644	47	notes	notes	PROPN
ejpam-48	644	48	series	series	PROPN
ejpam-48	644	49	,	,	PUNCT
ejpam-48	644	50	vol	vol	NOUN
ejpam-48	644	51	.	.	PROPN
ejpam-48	644	52	25	25	NUM
ejpam-48	644	53	,	,	PUNCT
ejpam-48	644	54	mathematical	mathematical	ADJ
ejpam-48	644	55	association	association	NOUN
ejpam-48	644	56	of	of	ADP
ejpam-48	644	57	america	america	PROPN
ejpam-48	644	58	,	,	PUNCT
ejpam-48	644	59	washinton	washinton	PROPN
ejpam-48	644	60	,	,	PUNCT
ejpam-48	644	61	dc	dc	PROPN
ejpam-48	644	62	,	,	PUNCT
ejpam-48	644	63	1992	1992	NUM
ejpam-48	644	64	.	.	PUNCT
ejpam-48	645	1	[	[	X
ejpam-48	645	2	10	10	NUM
ejpam-48	645	3	]	]	SYM
ejpam-48	645	4	:	:	PUNCT
ejpam-48	645	5	k.	k.	PROPN
ejpam-48	645	6	weller	weller	PROPN
ejpam-48	645	7	,	,	PUNCT
ejpam-48	645	8	j.	j.	PROPN
ejpam-48	645	9	clark	clark	PROPN
ejpam-48	645	10	,	,	PUNCT
ejpam-48	645	11	e.	e.	PROPN
ejpam-48	645	12	dubinsky	dubinsky	PROPN
ejpam-48	645	13	,	,	PUNCT
ejpam-48	645	14	s.	s.	PROPN
ejpam-48	645	15	loch	loch	PROPN
ejpam-48	645	16	,	,	PUNCT
ejpam-48	645	17	m.	m.	PROPN
ejpam-48	645	18	mcdonald	mcdonald	PROPN
ejpam-48	645	19	,	,	PUNCT
ejpam-48	645	20	r.	r.	PROPN
ejpam-48	645	21	merkovsky	merkovsky	PROPN
ejpam-48	645	22	,	,	PUNCT
ejpam-48	645	23	student	student	NOUN
ejpam-48	645	24	performance	performance	NOUN
ejpam-48	645	25	and	and	CCONJ
ejpam-48	645	26	attitudes	attitude	NOUN
ejpam-48	645	27	in	in	ADP
ejpam-48	645	28	courses	course	NOUN
ejpam-48	645	29	based	base	VERB
ejpam-48	645	30	on	on	ADP
ejpam-48	645	31	apos	apos	PROPN
ejpam-48	645	32	theory	theory	NOUN
ejpam-48	645	33	and	and	CCONJ
ejpam-48	645	34	the	the	DET
ejpam-48	645	35	ace	ace	NOUN
ejpam-48	645	36	teaching	teaching	NOUN
ejpam-48	645	37	cycle	cycle	NOUN
ejpam-48	645	38	,	,	PUNCT
ejpam-48	645	39	in	in	ADP
ejpam-48	645	40	research	research	NOUN
ejpam-48	645	41	in	in	ADP
ejpam-48	645	42	collegiate	collegiate	ADJ
ejpam-48	645	43	mathematics	mathematics	PROPN
ejpam-48	645	44	education	education	PROPN
ejpam-48	645	45	v	v	PROPN
ejpam-48	645	46	(	(	PUNCT
ejpam-48	645	47	a.	a.	PROPN
ejpam-48	645	48	selden	selden	PROPN
ejpam-48	645	49	,	,	PUNCT
ejpam-48	645	50	e.	e.	PROPN
ejpam-48	645	51	dubinsky	dubinsky	PROPN
ejpam-48	645	52	,	,	PUNCT
ejpam-48	645	53	g.	g.	PROPN
ejpam-48	645	54	harel	harel	PROPN
ejpam-48	645	55	,	,	PUNCT
ejpam-48	645	56	f.	f.	PROPN
ejpam-48	645	57	hitt	hitt	PROPN
ejpam-48	645	58	eds	eds	PROPN
ejpam-48	645	59	.	.	PUNCT
ejpam-48	645	60	)	)	PUNCT
ejpam-48	646	1	american	american	PROPN
ejpam-48	646	2	mathematical	mathematical	ADJ
ejpam-48	646	3	society	society	NOUN
ejpam-48	646	4	,	,	PUNCT
ejpam-48	646	5	providence	providence	NOUN
ejpam-48	646	6	,	,	PUNCT
ejpam-48	646	7	2003	2003	NUM
ejpam-48	646	8	.	.	PUNCT
ejpam-48	647	1	[	[	X
ejpam-48	647	2	11	11	NUM
ejpam-48	647	3	]	]	SYM
ejpam-48	647	4	:	:	PUNCT
ejpam-48	647	5	e.	e.	PROPN
ejpam-48	647	6	dubinsky	dubinsky	PROPN
ejpam-48	647	7	,	,	PUNCT
ejpam-48	647	8	m.mcdonald	m.mcdonald	NOUN
ejpam-48	647	9	,	,	PUNCT
ejpam-48	647	10	apos	apo	NOUN
ejpam-48	647	11	:	:	PUNCT
ejpam-48	647	12	a	a	DET
ejpam-48	647	13	constructivist	constructivist	ADJ
ejpam-48	647	14	theory	theory	NOUN
ejpam-48	647	15	of	of	ADP
ejpam-48	647	16	learning	learn	VERB
ejpam-48	647	17	in	in	ADP
ejpam-48	647	18	undergraduate	undergraduate	ADJ
ejpam-48	647	19	mathematics	mathematic	NOUN
ejpam-48	647	20	education	education	NOUN
ejpam-48	647	21	research	research	NOUN
ejpam-48	647	22	,	,	PUNCT
ejpam-48	647	23	in	in	ADP
ejpam-48	647	24	the	the	DET
ejpam-48	647	25	teaching	teaching	NOUN
ejpam-48	647	26	and	and	CCONJ
ejpam-48	647	27	learning	learning	NOUN
ejpam-48	647	28	of	of	ADP
ejpam-48	647	29	mathematics	mathematic	NOUN
ejpam-48	647	30	at	at	ADP
ejpam-48	647	31	university	university	NOUN
ejpam-48	647	32	level	level	NOUN
ejpam-48	647	33	:	:	PUNCT
ejpam-48	647	34	an	an	DET
ejpam-48	647	35	icmi	icmi	ADJ
ejpam-48	647	36	study	study	NOUN
ejpam-48	647	37	(	(	PUNCT
ejpam-48	647	38	d.	d.	PROPN
ejpam-48	647	39	holton	holton	PROPN
ejpam-48	647	40	et	et	PROPN
ejpam-48	647	41	al	al	PROPN
ejpam-48	647	42	.	.	PROPN
ejpam-48	647	43	,	,	PUNCT
ejpam-48	647	44	eds	eds	PROPN
ejpam-48	647	45	.	.	PUNCT
ejpam-48	647	46	)	)	PUNCT
ejpam-48	647	47	,	,	PUNCT
ejpam-48	647	48	kluwer	kluwer	NOUN
ejpam-48	647	49	,	,	PUNCT
ejpam-48	647	50	dordrecht	dordrecht	PROPN
ejpam-48	647	51	,	,	PUNCT
ejpam-48	647	52	2001	2001	NUM
ejpam-48	647	53	.	.	PUNCT
ejpam-48	648	1	[	[	X
ejpam-48	648	2	12	12	NUM
ejpam-48	648	3	]	]	X
ejpam-48	648	4	:	:	PUNCT
ejpam-48	648	5	d.	d.	PROPN
ejpam-48	648	6	tirosh	tirosh	PROPN
ejpam-48	648	7	,	,	PUNCT
ejpam-48	648	8	r.	r.	PROPN
ejpam-48	648	9	stavy	stavy	PROPN
ejpam-48	648	10	,	,	PUNCT
ejpam-48	648	11	is	be	AUX
ejpam-48	648	12	it	it	PRON
ejpam-48	648	13	possible	possible	ADJ
ejpam-48	648	14	to	to	PART
ejpam-48	648	15	confine	confine	VERB
ejpam-48	648	16	the	the	DET
ejpam-48	648	17	application	application	NOUN
ejpam-48	648	18	of	of	ADP
ejpam-48	648	19	the	the	DET
ejpam-48	648	20	intuitive	intuitive	ADJ
ejpam-48	648	21	rule	rule	NOUN
ejpam-48	648	22	:	:	PUNCT
ejpam-48	648	23	‘	'	PUNCT
ejpam-48	648	24	subdivision	subdivision	NOUN
ejpam-48	648	25	processes	process	NOUN
ejpam-48	648	26	can	can	AUX
ejpam-48	648	27	always	always	ADV
ejpam-48	648	28	be	be	AUX
ejpam-48	648	29	repeated	repeat	VERB
ejpam-48	648	30	’	'	PUNCT
ejpam-48	648	31	?	?	PUNCT
ejpam-48	649	1	international	international	ADJ
ejpam-48	649	2	journal	journal	PROPN
ejpam-48	649	3	of	of	ADP
ejpam-48	649	4	mathematical	mathematical	ADJ
ejpam-48	649	5	education	education	NOUN
ejpam-48	649	6	in	in	ADP
ejpam-48	649	7	science	science	PROPN
ejpam-48	649	8	&	&	CCONJ
ejpam-48	649	9	technology	technology	PROPN
ejpam-48	649	10	,	,	PUNCT
ejpam-48	649	11	29	29	NUM
ejpam-48	649	12	,	,	PUNCT
ejpam-48	649	13	6	6	NUM
ejpam-48	649	14	:	:	PUNCT
ejpam-48	649	15	813	813	NUM
ejpam-48	649	16	-	-	SYM
ejpam-48	649	17	825	825	NUM
ejpam-48	649	18	(	(	PUNCT
ejpam-48	649	19	1998	1998	NUM
ejpam-48	649	20	)	)	PUNCT
ejpam-48	649	21	.	.	PUNCT
ejpam-48	650	1	[	[	X
ejpam-48	650	2	13	13	NUM
ejpam-48	650	3	]	]	PUNCT
ejpam-48	650	4	:	:	PUNCT
ejpam-48	650	5	d.	d.	PROPN
ejpam-48	650	6	tirosh	tirosh	PROPN
ejpam-48	650	7	,	,	PUNCT
ejpam-48	650	8	finite	finite	NOUN
ejpam-48	650	9	and	and	CCONJ
ejpam-48	650	10	infinite	infinite	ADJ
ejpam-48	650	11	sets	set	NOUN
ejpam-48	650	12	:	:	PUNCT
ejpam-48	650	13	definitions	definition	NOUN
ejpam-48	650	14	and	and	CCONJ
ejpam-48	650	15	intuitions	intuition	NOUN
ejpam-48	650	16	,	,	PUNCT
ejpam-48	650	17	international	international	ADJ
ejpam-48	650	18	journal	journal	NOUN
ejpam-48	650	19	of	of	ADP
ejpam-48	650	20	mathematical	mathematical	ADJ
ejpam-48	650	21	education	education	NOUN
ejpam-48	650	22	in	in	ADP
ejpam-48	650	23	science	science	PROPN
ejpam-48	650	24	&	&	CCONJ
ejpam-48	650	25	technology	technology	PROPN
ejpam-48	650	26	,	,	PUNCT
ejpam-48	650	27	30	30	NUM
ejpam-48	650	28	,	,	PUNCT
ejpam-48	650	29	3	3	NUM
ejpam-48	650	30	:	:	PUNCT
ejpam-48	650	31	341	341	NUM
ejpam-48	650	32	-	-	SYM
ejpam-48	650	33	349	349	NUM
ejpam-48	650	34	(	(	PUNCT
ejpam-48	650	35	1999	1999	NUM
ejpam-48	650	36	)	)	PUNCT
ejpam-48	650	37	.	.	PUNCT
ejpam-48	651	1	[	[	X
ejpam-48	651	2	14	14	NUM
ejpam-48	651	3	]	]	X
ejpam-48	651	4	:	:	PUNCT
ejpam-48	651	5	a.	a.	PROPN
ejpam-48	651	6	w.	w.	PROPN
ejpam-48	651	7	moore	moore	PROPN
ejpam-48	651	8	,	,	PUNCT
ejpam-48	651	9	the	the	DET
ejpam-48	651	10	infinite	infinite	ADJ
ejpam-48	651	11	(	(	PUNCT
ejpam-48	651	12	2nd	2nd	ADJ
ejpam-48	651	13	edition	edition	NOUN
ejpam-48	651	14	)	)	PUNCT
ejpam-48	651	15	,	,	PUNCT
ejpam-48	651	16	routledge	routledge	PROPN
ejpam-48	651	17	and	and	CCONJ
ejpam-48	651	18	paul	paul	PROPN
ejpam-48	651	19	,	,	PUNCT
ejpam-48	651	20	london	london	PROPN
ejpam-48	651	21	,	,	PUNCT
ejpam-48	651	22	1999	1999	NUM
ejpam-48	651	23	.	.	PUNCT
ejpam-48	652	1	[	[	X
ejpam-48	652	2	15	15	NUM
ejpam-48	652	3	]	]	X
ejpam-48	652	4	:	:	PUNCT
ejpam-48	652	5	d.	d.	PROPN
ejpam-48	652	6	tall	tall	PROPN
ejpam-48	652	7	,	,	PUNCT
ejpam-48	652	8	mathematical	mathematical	ADJ
ejpam-48	652	9	intuition	intuition	NOUN
ejpam-48	652	10	,	,	PUNCT
ejpam-48	652	11	with	with	ADP
ejpam-48	652	12	special	special	ADJ
ejpam-48	652	13	reference	reference	NOUN
ejpam-48	652	14	to	to	ADP
ejpam-48	652	15	limiting	limit	VERB
ejpam-48	652	16	processes	process	NOUN
ejpam-48	652	17	.	.	PUNCT
ejpam-48	653	1	retrieved	retrieve	VERB
ejpam-48	653	2	january	january	PROPN
ejpam-48	653	3	25	25	NUM
ejpam-48	653	4	,	,	PUNCT
ejpam-48	653	5	2005	2005	NUM
ejpam-48	653	6	from	from	ADP
ejpam-48	653	7	http://www.davidtall.com/	http://www.davidtall.com/	NOUN
ejpam-48	653	8	(	(	PUNCT
ejpam-48	653	9	1980	1980	NUM
ejpam-48	653	10	)	)	PUNCT
ejpam-48	653	11	.	.	PUNCT
ejpam-48	654	1	[	[	X
ejpam-48	654	2	16	16	NUM
ejpam-48	654	3	]	]	X
ejpam-48	654	4	:	:	PUNCT
ejpam-48	654	5	j.	j.	PROPN
ejpam-48	654	6	mamona	mamona	PROPN
ejpam-48	654	7	-	-	PUNCT
ejpam-48	654	8	downs	down	NOUN
ejpam-48	654	9	,	,	PUNCT
ejpam-48	654	10	letting	let	VERB
ejpam-48	654	11	the	the	DET
ejpam-48	654	12	intuitive	intuitive	ADJ
ejpam-48	654	13	bear	bear	NOUN
ejpam-48	654	14	on	on	ADP
ejpam-48	654	15	the	the	DET
ejpam-48	654	16	formal	formal	NOUN
ejpam-48	654	17	:	:	PUNCT
ejpam-48	654	18	a	a	DET
ejpam-48	654	19	didactical	didactical	ADJ
ejpam-48	654	20	approach	approach	NOUN
ejpam-48	654	21	for	for	ADP
ejpam-48	654	22	the	the	DET
ejpam-48	654	23	understanding	understanding	NOUN
ejpam-48	654	24	of	of	ADP
ejpam-48	654	25	the	the	DET
ejpam-48	654	26	limit	limit	NOUN
ejpam-48	654	27	of	of	ADP
ejpam-48	654	28	a	a	DET
ejpam-48	654	29	sequence	sequence	NOUN
ejpam-48	654	30	,	,	PUNCT
ejpam-48	654	31	educational	educational	ADJ
ejpam-48	654	32	studies	study	NOUN
ejpam-48	654	33	in	in	ADP
ejpam-48	654	34	mathematics	mathematic	NOUN
ejpam-48	654	35	,	,	PUNCT
ejpam-48	654	36	48	48	NUM
ejpam-48	654	37	,	,	PUNCT
ejpam-48	654	38	2/3	2/3	NUM
ejpam-48	654	39	:	:	PUNCT
ejpam-48	654	40	259	259	NUM
ejpam-48	654	41	-	-	SYM
ejpam-48	654	42	288	288	NUM
ejpam-48	654	43	(	(	PUNCT
ejpam-48	654	44	2001	2001	NUM
ejpam-48	654	45	)	)	PUNCT
ejpam-48	654	46	.	.	PUNCT
ejpam-48	655	1	[	[	X
ejpam-48	655	2	17	17	NUM
ejpam-48	655	3	]	]	X
ejpam-48	655	4	:	:	PUNCT
ejpam-48	655	5	d.	d.	PROPN
ejpam-48	655	6	vidakovic	vidakovic	PROPN
ejpam-48	655	7	,	,	PUNCT
ejpam-48	655	8	cooperative	cooperative	ADJ
ejpam-48	655	9	learning	learning	NOUN
ejpam-48	655	10	:	:	PUNCT
ejpam-48	655	11	differences	difference	NOUN
ejpam-48	655	12	between	between	ADP
ejpam-48	655	13	group	group	NOUN
ejpam-48	655	14	and	and	CCONJ
ejpam-48	655	15	individual	individual	ADJ
ejpam-48	655	16	processes	process	NOUN
ejpam-48	655	17	of	of	ADP
ejpam-48	655	18	construction	construction	NOUN
ejpam-48	655	19	of	of	ADP
ejpam-48	655	20	the	the	DET
ejpam-48	655	21	concept	concept	NOUN
ejpam-48	655	22	of	of	ADP
ejpam-48	655	23	inverse	inverse	NOUN
ejpam-48	655	24	function	function	NOUN
ejpam-48	655	25	.	.	PUNCT
ejpam-48	656	1	ph.d	ph.d	PROPN
ejpam-48	656	2	.	.	PUNCT
ejpam-48	657	1	thesis	thesis	PROPN
ejpam-48	657	2	,	,	PUNCT
ejpam-48	657	3	purdue	purdue	ADJ
ejpam-48	657	4	university	university	NOUN
ejpam-48	657	5	,	,	PUNCT
ejpam-48	657	6	1993	1993	NUM
ejpam-48	657	7	.	.	PUNCT
ejpam-48	658	1	[	[	X
ejpam-48	658	2	18	18	NUM
ejpam-48	658	3	]	]	X
ejpam-48	658	4	:	:	PUNCT
ejpam-48	658	5	m.	m.	NOUN
ejpam-48	658	6	schiralli	schiralli	PROPN
ejpam-48	658	7	,	,	PUNCT
ejpam-48	658	8	n.	n.	PROPN
ejpam-48	658	9	sinclair	sinclair	PROPN
ejpam-48	658	10	,	,	PUNCT
ejpam-48	658	11	a	a	DET
ejpam-48	658	12	constructive	constructive	ADJ
ejpam-48	658	13	response	response	NOUN
ejpam-48	658	14	to	to	ADP
ejpam-48	658	15	‘	'	PUNCT
ejpam-48	658	16	where	where	SCONJ
ejpam-48	658	17	mathematics	mathematic	NOUN
ejpam-48	658	18	comes	come	VERB
ejpam-48	658	19	from	from	ADP
ejpam-48	658	20	’	'	PUNCT
ejpam-48	658	21	,	,	PUNCT
ejpam-48	658	22	educational	educational	ADJ
ejpam-48	658	23	studies	study	NOUN
ejpam-48	658	24	in	in	ADP
ejpam-48	658	25	mathematics	mathematic	NOUN
ejpam-48	658	26	,	,	PUNCT
ejpam-48	658	27	52	52	NUM
ejpam-48	658	28	,	,	PUNCT
ejpam-48	658	29	1	1	NUM
ejpam-48	658	30	:	:	SYM
ejpam-48	658	31	79	79	NUM
ejpam-48	658	32	-	-	SYM
ejpam-48	658	33	91	91	NUM
ejpam-48	658	34	(	(	PUNCT
ejpam-48	658	35	2003	2003	NUM
ejpam-48	658	36	)	)	PUNCT
ejpam-48	658	37	.	.	PUNCT
ejpam-48	659	1	[	[	X
ejpam-48	659	2	19	19	NUM
ejpam-48	659	3	]	]	X
ejpam-48	659	4	:	:	PUNCT
ejpam-48	659	5	b.	b.	PROPN
ejpam-48	659	6	bolzano	bolzano	PROPN
ejpam-48	659	7	,	,	PUNCT
ejpam-48	659	8	paradoxes	paradox	NOUN
ejpam-48	659	9	of	of	ADP
ejpam-48	659	10	the	the	DET
ejpam-48	659	11	infinite	infinite	NOUN
ejpam-48	659	12	(	(	PUNCT
ejpam-48	659	13	translated	translate	VERB
ejpam-48	659	14	from	from	ADP
ejpam-48	659	15	the	the	DET
ejpam-48	659	16	german	german	NOUN
ejpam-48	659	17	of	of	ADP
ejpam-48	659	18	the	the	DET
ejpam-48	659	19	posthumous	posthumous	ADJ
ejpam-48	659	20	edition	edition	NOUN
ejpam-48	659	21	by	by	ADP
ejpam-48	659	22	fr	fr	PROPN
ejpam-48	659	23	.	.	PUNCT
ejpam-48	659	24	prihonsky	prihonsky	PROPN
ejpam-48	659	25	and	and	CCONJ
ejpam-48	659	26	furnished	furnish	VERB
ejpam-48	659	27	with	with	ADP
ejpam-48	659	28	a	a	DET
ejpam-48	659	29	historical	historical	ADJ
ejpam-48	659	30	introduction	introduction	NOUN
ejpam-48	659	31	by	by	ADP
ejpam-48	659	32	donald	donald	PROPN
ejpam-48	659	33	a.	a.	PROPN
ejpam-48	659	34	steele	steele	PROPN
ejpam-48	659	35	)	)	PUNCT
ejpam-48	659	36	,	,	PUNCT
ejpam-48	659	37	routledge	routledge	PROPN
ejpam-48	659	38	and	and	CCONJ
ejpam-48	659	39	paul	paul	PROPN
ejpam-48	659	40	,	,	PUNCT
ejpam-48	659	41	london	london	PROPN
ejpam-48	659	42	,	,	PUNCT
ejpam-48	659	43	1950	1950	NUM
ejpam-48	659	44	.	.	PUNCT
ejpam-48	660	1	[	[	X
ejpam-48	660	2	20	20	NUM
ejpam-48	660	3	]	]	X
ejpam-48	660	4	:	:	PUNCT
ejpam-48	660	5	g.	g.	PROPN
ejpam-48	660	6	cantor	cantor	PROPN
ejpam-48	660	7	,	,	PUNCT
ejpam-48	660	8	the	the	DET
ejpam-48	660	9	theory	theory	NOUN
ejpam-48	660	10	of	of	ADP
ejpam-48	660	11	transfinite	transfinite	ADJ
ejpam-48	660	12	numbers	number	NOUN
ejpam-48	660	13	(	(	PUNCT
ejpam-48	660	14	phillip	phillip	PROPN
ejpam-48	660	15	e.	e.	PROPN
ejpam-48	660	16	b.	b.	PROPN
ejpam-48	660	17	jourdain	jourdain	PROPN
ejpam-48	660	18	,	,	PUNCT
ejpam-48	660	19	trans	trans	PROPN
ejpam-48	660	20	.	.	PUNCT
ejpam-48	660	21	)	)	PUNCT
ejpam-48	660	22	,	,	PUNCT
ejpam-48	660	23	open	open	ADJ
ejpam-48	660	24	court	court	NOUN
ejpam-48	660	25	publishing	publishing	NOUN
ejpam-48	660	26	,	,	PUNCT
ejpam-48	660	27	la	la	X
ejpam-48	660	28	salle	salle	PROPN
ejpam-48	660	29	,	,	PUNCT
ejpam-48	660	30	il	il	PROPN
ejpam-48	660	31	,	,	PUNCT
ejpam-48	660	32	1941	1941	NUM
ejpam-48	660	33	.	.	PUNCT
ejpam-48	661	1	footnotes	footnote	NOUN
ejpam-48	661	2	1	1	NUM
ejpam-48	661	3	pseudonyms	pseudonym	NOUN
ejpam-48	661	4	have	have	AUX
ejpam-48	661	5	been	be	AUX
ejpam-48	661	6	used	use	VERB
ejpam-48	661	7	for	for	ADP
ejpam-48	661	8	all	all	PRON
ejpam-48	661	9	of	of	ADP
ejpam-48	661	10	the	the	DET
ejpam-48	661	11	interview	interview	NOUN
ejpam-48	661	12	subjects	subject	NOUN
ejpam-48	661	13	.	.	PUNCT
ejpam-48	662	1	2	2	NUM
ejpam-48	662	2	in	in	ADP
ejpam-48	662	3	her	her	PRON
ejpam-48	662	4	written	write	VERB
ejpam-48	662	5	work	work	NOUN
ejpam-48	662	6	,	,	PUNCT
ejpam-48	662	7	audrey	audrey	PROPN
ejpam-48	662	8	uses	use	VERB
ejpam-48	662	9	the	the	DET
ejpam-48	662	10	letter	letter	NOUN
ejpam-48	662	11	“	"	PUNCT
ejpam-48	662	12	b	b	NOUN
ejpam-48	662	13	”	"	PUNCT
ejpam-48	662	14	to	to	PART
ejpam-48	662	15	refer	refer	VERB
ejpam-48	662	16	to	to	ADP
ejpam-48	662	17	bin	bin	PROPN
ejpam-48	662	18	t.	t.	PROPN
ejpam-48	662	19	3	3	NUM
ejpam-48	662	20	paul	paul	PROPN
ejpam-48	662	21	calls	call	VERB
ejpam-48	662	22	the	the	DET
ejpam-48	662	23	holding	hold	VERB
ejpam-48	662	24	bin	bin	NOUN
ejpam-48	662	25	the	the	DET
ejpam-48	662	26	hopper	hopper	NOUN
ejpam-48	662	27	.	.	PUNCT
ejpam-48	663	1	http://www.davidtall.com/	http://www.davidtall.com/	NOUN
ejpam-48	663	2	¹	¹	PROPN
ejpam-48	663	3	265	265	NUM
ejpam-48	663	4	north	north	NOUN
ejpam-48	663	5	woods	woods	PROPN
ejpam-48	663	6	rd	rd	PROPN
ejpam-48	663	7	.	.	PROPN
ejpam-48	663	8	,	,	PUNCT
ejpam-48	663	9	hermon	hermon	PROPN
ejpam-48	663	10	,	,	PUNCT
ejpam-48	663	11	ny	ny	PROPN
ejpam-48	663	12	13652	13652	NUM
ejpam-48	663	13	u.s.a	u.s.a	NOUN
ejpam-48	663	14	.	.	PROPN
ejpam-48	663	15	²	²	PROPN
ejpam-48	663	16	university	university	PROPN
ejpam-48	663	17	of	of	ADP
ejpam-48	663	18	michigan	michigan	PROPN
ejpam-48	663	19	–	–	PUNCT
ejpam-48	663	20	flint	flint	NOUN
ejpam-48	663	21	,	,	PUNCT
ejpam-48	663	22	³	³	PROPN
ejpam-48	663	23	university	university	PROPN
ejpam-48	663	24	of	of	ADP
ejpam-48	663	25	north	north	PROPN
ejpam-48	663	26	alabama	alabama	PROPN
ejpam-48	663	27	,	,	PUNCT
ejpam-48	663	28	4	4	NUM
ejpam-48	663	29	georgia	georgia	PROPN
ejpam-48	663	30	state	state	PROPN
ejpam-48	663	31	university	university	PROPN