eCopy, Inc. The Ptolemaic View of the Universe Wolfgang Hubner T HE ANCIENT GEOCENTRIC SYSTEM commonly is termed 'Ptolemaic," and the same is said even of ancient astrologicallore,1 although Ptolemy did not invent either the geocentric or the astrological system. His principal merit was to have focused the history of astronomy for nearly a thousand years from 800 B.c. down to his age, the late second century A.D., into a comprehensive account, and to have described all the complicated motions of the stars in an elegant abstract language. But he has been severely indicted in Robert R. Newton's The Crime of Claudius Ptolemy. 2 Newton tried to de­ monstrate the zero reliability for nearly all observations-those Ptolemy claims to have made himself and those that he attributes to other astronomers as well. Newton writes (354): "Instead of abandoning the theories, he deliberately fabricated observations from the theories so that he could claim that the observation prove the validity of his theories. In every scientific or scholarly setting known, this practice is called fraud, and it is a crime against science and scholarship." And he adds a com­ parison (365): "This reminds me of a political cartoon that I saw some years ago ... The cartoon showed a pedestrian who 1 For example recently A. Geneva, Astrology and the Seventeenth. Century Mind: William Lilly ana the Language of the Stars (Manchester /New York 1995); see my review, International Journal of the Classical Tradition 6 (1999) 243--251. It becomes all the more clear that in antiquity there was no termino­ logical distinction between astrology and astronomy: W. Hubner, Die Begriffe "Astrologie" und "Astronomie" in der Antike. Wortgeschichte und Wissen­ schajtssystematik, mit einer Hypothese zum Terminus "Quadrivium" (Abh Mamz 19S9.7). · 2 Robert R. Newton, The Crime of C.la#dius Ptolemy (Baltimore/London 1977). - - •. Greek, Roman, and Byzantine $tudies 41 (2000) 59-93 ©2001 GRBS L 60 THE PTOLEMAIC VIEW OF THE UNIVERSE had been knocked down by a passing car and. who was now lying beside the road. The car had stopped a short distance beyond, and the driver was running back toward the victim while calling out: 'I'm a doctor. You're lucky I happened to be passing by!"' He explains: "Ptolemy is the doctor-driver and the victim is the science of astronomy," adding "we do not owe Ptolemy our thanks for the small amount of earlier astronomy that he has preserved. Instead, we !owe him our condemnation for the large amount of genuine astronomy that he has caused us to lose." The task of refuting this violent attack has been made easier by the Danish scholar Kristian Peder Moesgaard,3 who invoked the monograph of his compatriot Olaf Pedersen,4 A Survey of the Almagest, published three years before Newton's volume. Ptol­ emy indeed calculated and extrapolated more than he observed, and his astronomical data depend largely on the great Hip­ parchus~ In his famous star-catalogue, for example, he always added 2°40' to the eclipticallongitudes observed by Hippar­ chus. But he assumed a too slow precession of the equinoxes, one degree in 100 years instead of 71.6 years. So his catalogue given for the year 137 was only right for the year 63. But this was not a deliberate fraud. Ptolemy spent all his efforts in synthesizing the results of earlier astronomy originat­ ing in the work of the Babylonians, earlier th-t !2. I I I I I Mercury -----:----' moon (earth) 0 0 iS: three generations outer planets 'female' planets inner planets Figure 1: The canonical planetary system 65 prevailed as the standard system of all astrological handbooks and was never questioned by astrologers (see fig. 1). This system owes its widespread success to its marvelous symmetry, which satisfies a human need for geometrical order. I would like to elucida-te this by five points: (a) First there is the medial position of the sun amidst the seven spheres.13 Although in this system all the eight spheres (the spheres of the seven planets and the sphere of the fi~ed stars) rotate around the earth and hence the sun moves too it . ' could be called "heliocentric" in the sense that the celestial body that grants all our life is placed in the middle of the scale. Cor- 130ne of the earliest more detailed examples is Philo Quis rer. divin. heres 45 (III 50 Wendland): ~EO"O<; trov E7ttCx (sc. 7tAavf]trov) "HA.to<;· ~EO"OV o' a'IJtOV ou ~6vov E7tel ~ecrnv E7tEXEt xroeav, 00<; i]~irocrav ttvE<;, x:aA.ro, &A.A.' Ott x:at 9epa7tEuecr9at x:al oopuns in. Timaeus that the order appears ac­ co~dmg ~o alle.ged heavmess: frre-arr-water-earth. This order became authori­ tative With Anstotle: Cael. 1.3 269b28 etc., Meteor. 1.2 339a15. For the varying order of the two lower elements, Burkert 62-63· R. Klibansky E Panofsky F. Saxl, Saturn and Melancholy (London 1964) 64. ' ' · ' · WOLGANG HUBNER 71 elements triplicities social classes fire air 7W.PlJY6!10Vl1COV wa - earth - ter Figure 5: The hierarchy of the four elements solid and ponderous earth on the other.26 Rarely the final position was occupied by wat-er, because one might penetrate deeper into the sea than into the earth, and because the sharpest contrast was see~ between fire and water, and water in general was associated with perishableness. It was this hierarchy that the astrologers adopted without any further dis­ cussion.27 · · · - Between the two low and female elements, earth and water, one ascends through the mediating air up to fire, the element of the stars and the divine part of the human soul as well (jig. 5). 2. Astrology and Geography Geography was not included in the seven liberal arts, but Varro (and after him·Martianus Capella) treated it together with geometry.- Martian us Capella calls geometry with a Pla- 26 Astrology empl?yed this system, so far ~scan be seen, only in relation to the four cardmal pomts, where the earth receives the lower culrillnation (imum caelum): Anon. CCAG I (1900) p.158.13-16. · . 27 Arist. Sens.-? 443a10. In astrolo&y:.W. Hubner (supra n.23) 154-155 and n.103. For the hierarchy of the zodiacal triplicities see Hubner Die Eigen­ schaften der Tierkreiszeichen in der Antike. Ihre Darstellun_g und 'verwendung unt.er besonderer Berilcksichtigung des Manilius (Sudhofjs Archiv Beih. 22 [Wiesbaden 1982]) 206-210 §4.21. / """'[~-~~--~-~~ ......... --------------- 72 n:ocr6v THE PTOLEMAIC VIEW OF THE UNIVERSE JCatt' eam6 (JlOVJl) arithmetic geometty -4-------+-----------] .... 1tT)Al1COV music astronomy (at yevoJ.lEVro, and us~s a ~th~r.~etapho~ __ f~r tJ;eir offsping, ,ari~etic a_nd,geometrr fp.9_4.18), avE'If~at o ??~1tE~ Kat auwt, yEVOJ.lEVat JlEV El; aoeA.cprov O'lfEOO<; Kat !XKOT]<;, n:SpaJ.lJ.lEVat OE ro<; erru­ tatro 7tp0<; yeVOU<; i.l1t' apt8J.!T]ttlcr\<; tE K!Xt yEOOJlEtpta<;. _ 29 Arithm. 1.3.1-2, quoting in what follows the Pythagoreans Androkydes and Archytas; see Hubner (supra n.1) 52-55. , WOLGANG HUBNER 73 One must never forget that in antiquity the sky was much better known than the earth. Farmers and navigators observed the movements of the stars that served as a common calendar. Except for the southern polar region, in clear weather the sky was always visible from all countries, but the earth beyond the Mediterranean area was unknown, and the reports of the ex­ plorers often were fantastic and could not be verified. Today, to the contrary, almost all parts of the earth have been discovered. We know much more about the universe than in antiquity, and every day the television news shows us the terrestri'al globe from that astronautical perspective which the Ciceronian Scipio could only see in a dream. Only a very small number of persons even of higher education recognize the motion of the fixed stars, or know the order of the planets-not to mention the strange order of our planetary week which we use every day. Hence globes of the sky historically precede those of the earth, and they were much more frequent in antiquity.30 In the Renais­ sance the two globes got equal rights, so that every important library proudly exhibited a pair of equally shaped globes: one of the sky and one of the earth (jig. 7). But in our homes the terrestrial globe prevails, and if there is a celestial one, this is-rather than for-·the study of the stars-for superficial decoration. To put it briefly: today our knowledge and our way of life are more "geocentric" than in antiquity. Ptolemy wrote first the Syntaxis and then the Apotelesmatica (better known under the title Tetrabiblos), but his Geographia only at the very end of his life, and it seems that this work remained unfinished. It had a similar fate in modern times, for there is no critical edition after that of Nobbe (Leipzig 1843-1845).31 One 30 A. Schlachter, Der Globus. Seine Entstehung und Verwendung in .der An­ tike, ed. F. Gisinger (Leipzig/Berlin 1927). 31 It is only recently that Alfred Stiickelberger (Bern), with international col­ laboration, has begun a new critical edition. 74 THE PTOLEMAIC VIEW OF THE UNIVERSE Figure 7: Celestial and terrestrial globes in the Herzog August Bibliothek Wolfenbiittel (1650) may compare the great French edition of Pliny the Elder, which began to appear just after the Second World War.32 The most recent volumes have been very slow to appear; Books 3-6 concern geography.33 The enormous mass of numbers and exotic names causes many editorial difficulties. In his Geographia Ptol­ emy enumerates not less than about 8,100 names of localities, which he entered in 26 maps: 10 maps for Europe, 4 for (nor­ them) Africa, and 12 for Asia.34 But apart from these difficulties, there is to be observed a tra­ dition in prose works and even more iD~didactic poetry: from Eratosthenes and Aratus' Phaenomena to Bonincontrius and Pantano in the Renaissance and Alexander von Humboldt in his Kosmos, authors follow a descending movement from heaven 32 The first two volumes, containing Books 1 and 2, appeared in 1950. 33In 1980 Book 5 part 1 and Book 6 part 2, in 1998 Book 3. 34 A. Stiickelberger, "Klaudios Ptolemaios," in Geographie und verwandte Wissenschaften, ed. W. Hubner (Stuttgart 2000) 185-208. · . WOLGANG HUBNER 75 down to earth, 35 from macrocosm to microcosm, in their single works as well as in the sequence of their works,36 and so did Ptolemy when he went from the stars down to earth. Ptolemy's Geographia is a good example for our statement that in antiquity the earth was far less known than the heavens, for here he is (and must be) less exact and less reliable than in his famous description of the sky in the star-catalogue of his Syntaxis. From the earth's surface he embraces only about 80 latitudinal and 126 longitudinal degrees,37 that is, in a north­ south direction less than half and west-east about one third of the surface. Since he rejected the almost exact value of the circumference of the earth calculated by Eratosthenes in favor of that wrongly calculated by Poseidonios, his model of the earth became too small, so that he induced Christopher Colombus, who used an edition of Ptolemy's "Cosmographia" (this was the Renaissance title of the geographical work) to believe, when he arrived in America, that he had discovered India.38 He is more speculative in his astrological-geography: The distribution of the twelve zodiacal signs to the countries of the oh:oU)lEVll, in early astrological works, was linked to two other locational structures: the melothesia (the distribution the twelve signs to the member~ of the human body) and the deorum tutelae (the distribution to the six male and six female deities of the 35See W. Hubner; "Der descensus als ordnendes Prinzip der Naturalis his­ toria des Plinius," in Der Wandel der Enzyklopiidie vom Hochmittelalter zur friihen Neuzeit (Miinstersche Mittelalter-Schriften, in press). 36 For Aratus see W. Ludwig, "Die Phainomena Arats als hellenistischeDich­ tung" Hermes 91 (1963) 425-448, esp. 438 and 448; for Manitius, W. Hubner (sup~a n.23) 242-268. Pontano's sequence was: Urania-Meteora-De Hartis Hesperidum, and in the first book of his second po~m he ~escend~ fro~ qod ~d the heavenly Trinity down to earth: see Laurentius Boruncontnus MllU [> [> .... [> ~ "'" ,(,) N ...... n: ~ §~ ff: <>-l ~~ roPJ N ::l ~ PJ ..... 0 .... ro ~ .... 'J)'JJ R. ro 'JJ~ :::;· .... .... . 'JJ '"' '< !:!. ' ~w -ti)Q "' 'JJ"' 'JJPJ ao s· I .... I '< <~ CJ))> CJ)(J '--tPJ 'JJ ~ 0 .... .... ;:· 'JJ ::l I= 'JJ 'JJ $~ C/) < 'JJ ~;:! PJ ro § ::lPJ - § R.-~ .... I= ~~ .... 'JJ'JJ ::l 'JJ §[ .... ~ § '--< tzi:! ' -rn PJro __ ,., ::l ~ ..... _ ~=- . ~-co-·~~~ ~g ~Ef' (t:T .... ;:;.R. .... :::1 c·~ ;::~ C/) z C/) ~ ;:1 ~ tri tri >;· "' R. ~ WOLGANG HOBNER Jupiter septentrio Aries Leo Sagittarius meridies Venus Ge~ini Libra Aquarius Figure 13: The planetary rulers of the four triplicities (Ptol. Apotel. 1.19) _, 83 moon which has no relation to any of the three signs, but together with Venus is the other nocturnal planetaccording to the classification into diurnal and nocturnal planets (jig. 14).51 3. The third triplicity (Gemini-Libra-Aquarius) is governed by day by Saturn, the nighttime ruler of Aquarius, and at night by Mercury, the Twin( __ nighttime ruler. 4. The fourth triplicity (Cancer-Scorpio-Pisces) is ruled by Mars by day and by night as well. This reveals the difficulty arising from the fact that twice four rulers are needed, but there, are \ only seven planets to use, so that for the last triplicity one planet is lacking. Ptolemy backs out of the business by joining to Mars his old companion Venus (and moreover the moon), the other nocturnal planets according to fig. 14, so that the co-ruler of the triplicity is Venus by day and the moon by night. 51 Ptol. Apotel. 1.7 and Bouche-Leclercq 103-104. 84 THE PTOLEMAIC VIEW OF THE UNIVERSE lurrtinary beneficent plant· maleficent planet day sun Jupiter Saturn ambiguous Mercury night moon Venus Mars Figure 14: Daytime planets and nighttime planets (Ptol. Apotel. 1.7) In a second step Ptolemy distributes the triangular rulers to the edges of the world. As each of the four triplicities has two planetary rulers, the directions are also divided in two: a main direction ruled by a main ruler (oh:oDtcr1tO'tl)~) and a secondary direction ruled by a co-ruler (cruvoucoDEtA01tAOt~ Kat 't. There is a strange addition about mysteries: see n.69 infra. 62 2.3.20, oi !lEV 1tepl. 'ta~ KuKA.&oo:~ Ko:t 'ta Ilo:p&A.to: 'tTl~ MtKpil~ 'Acrio:~ Ko:t Ku7tpov 'tOO. 'tE To:upq> KO:t 'tOO 'tTl~ 'A