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Pythagorean School

(1,635 words)

Author(s): Riedweg, Christoph (Zürich)
For the problematic nature of the tradition, see Pythagoras [2] A. [German version] A. Beginnings and organization In the sources, the beginnings of the Pythagorean School take on the aura of legend. When Pythagoras arrived at Croton, his appearance and speeches so overwhelmed those who met him that he was immediately joined by a large number of Crotonians and influential persons from the area (Dicaearchus fr. 33 Wehrli along with Porph. Vita Pythagorae 19; cf. Nicomachus in Porph. ibid. 20 and already Isocr. Or…


(1,133 words)

Author(s): Hölkeskamp, Karl-Joachim (Cologne) | Riedweg, Christoph (Zürich)
(Φιλόλαος; Philólaos). [German version] [1] P. of Corinth is said to have belonged to the group of nobles called the Bacchiadae, to have gone into exile in Thebes with his lover Diocles, and to have been buried there in a clearly visible tomb (Aristot. Pol. 1274a 31-b5). P. gave the Thebans laws on the procreation of children, which were referred to as νόμοι θετικοί ( nómoi thetikoí), apparently aimed at preserving the number of plots of land (Aristot. Pol. 1274b 2-5), perhaps through adoption of an heir by childless landowners. Such measures, which were also …


(1,790 words)

Author(s): Patzek, Barbara (Wiesbaden) | Nesselrath, Heinz-Günther (Göttingen) | Riedweg, Christoph (Zürich) | Gottschalk, Hans (Leeds) | Fornaro, Sotera (Sassari) | Et al.
(Ἵππαρχος; Hípparchos). [German version] [1] Second son of Peisistratus, around 530 BC Second son of  Peisistratus and an Athenian woman. Together with his older brother  Hippias [1] and the younger Thessalus, H. assumed his inheritance (528/527 BC) after his father's death (Thuc. 6,55; [Aristot.] Ath. Pol. 18,1). In contrast to Hippias, H. exhibited no political profile. He dedicated himself to aristocratic social life and culture and invited, among others,  Anacreon [1] of Teos and  Simonides of Ceos to A…


(519 words)

Author(s): Meister, Klaus (Berlin) | Riedweg, Christoph (Zürich)
(Ἱκέτας; Hikétas). [German version] [1] Syracusan nobleman, tyrant of Leontini, around 350 BC Syracusan nobleman, friend of  Dion [I 1]. In the troubles after Dion's death in 353 BC he won the tyranny of Leontini. He initially supported the Syracusans in their struggle against  Dionysius [2] II. However, during his campaign against Syracuse in 346 he reached an understanding with Dionysius because of the approaching Carthaginians and supported his plea to the Corinthians for help. The superiority of the Cart…


(81 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] (Λαμίσκος; Lamískos). A Tarantine, member of the circle around Archytas [1]; he led the legation that the friends of Plato in Tarentum sent to Syracuse in 360 BC after the latter's break with Dionysius [2] II. L. succeeded in getting Dionysius to let Plato leave Syracuse (Pl. Ep. 7, 350a 7-b 4; derived from this are the mentions of L. in the two forged Archytas letters in Diog. Laert. 3,22 and 8,80). Pythagorean School Riedweg, Christoph (Zürich)


(5,221 words)

Author(s): Cancik-Kirschbaum, Eva (Berlin) | I.A. | Folkerts | Folkerts, Menso (Munich) | Crubellier, Michel (Villeneuve d'Ascq) | Et al.
I. Mesopotamia [German version] A. Numerical systems Before systems for representing numbers in writing were (further) developed, counting stones, known as calculi or tokens, were used in arithmetic. As first-order representations they enabled operations such as increasing, decreasing, combining, separating, and distributing. Their relationship to the numerical notations recorded in the oldest ‘texts’ ( c. 3300 BC; Uruk) is still discussed [2]. The numerical signs in these texts do not represent absolute numbers but context-dependent units of count…


(336 words)

Author(s): Riedweg, Christoph (Zürich) | Inwood, Brad (Toronto)
(Μνήσαρχος; Mnḗsarchos). [German version] [1] Father of Pythagoras Father of Pythagoras (6th and early 5th cents. BC), whose historicity seems certain (cf. Heracl. fr. 17 Marcovich and Hdt. 4,95,1), even if the tradition is contradictory and sometimes legendary. M. is sometimes described as a Samian gem cutter (Diog. Laert. 8,1; Apul. Flor. 15; cf. Porph. Vita Pythagorica 1; [1]), sometimes as a merchant from the Tyrrhenian island of Lemnos who had settled on Samos (Neanthes FGrH 84 F 29a = Porph. ibid…


(555 words)

Author(s): Visser, Edzard (Basle) | Riedweg, Christoph (Zürich)
(Ἵππασος; Híppasos). Name often used in epic texts for figures lacking any further characterization, particularly common in patronymic information about less important heroes. Esp. interesting in this context are [1] - [4]: [German version] [1] Father of Actor, the Argonaut  Father of Actor, the Argonaut (Apoll. Rhod. 1,112; Hyg. Fab. 14). Visser, Edzard (Basle) [German version] [2] Father of Charops  Father of  Charops [4] (Hom. Il. 11,426). Visser, Edzard (Basle) [German version] [3] Father of Hypsenor  Father of Hypsenor, killed by Deiphobus (Hom. Il. 13,411). Visser, Edzard …

Soul, migration of the

(968 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] The Greek terms μετεμψύχωσις ( metempsýchōsis, literally 're-ensoulment'), μετενσωμάτωσις ( metensōmátōsis, 're-embodiment'), παλιγγενεσία ( palingenesía, 're-becoming') are not recorded in ancient sources before the 1st cent. BC (only the verbal phrase πάλιν γίγνεσθαι/ pálin gígnesthai is in Plato; the noun in the other sense, that of periodic world renewal, is documented in the older Stoa). However, the doctrine of the migration of the soul is demonstrably present in the Greek cultural sphere from the 2nd half o…


(3,891 words)

Author(s): Kinzl, Konrad (Peterborough) | Riedweg, Christoph (Zürich) | Döring, Klaus (Bamberg) | Badian, Ernst (Cambridge, MA) | Bartels, Jens (Bonn) | Et al.
(Διόδωρος, Διόδορος; Diódōros, Diódoros). Well-known representatives of the name: the philosopher D. [4] Kronos, the mathematician D. [8] of Alexandria, the universal historian D. [18] Siculus, the early Christian theologian D. [20] of Tarsus. [German version] [1] Athenian fleet commander in the Peloponnesian War Athenian, fleet commander with Mantitheus at the end of 408-407 BC at the Hellespont with a sufficient number of ships, so that Alcibiades [3] was able to sail to Samos and Thrasyllus and Theramenes to Athens (Diod. Sic. 13,68,2). (Traill, PAA 329550; Develin 171). Kinzl, …


(365 words)

Author(s): Robbins, Emmet (Toronto) | Riedweg, Christoph (Zürich)
(Εὔρυτος; Eúrytos). [German version] [1] Hom. character Ruler of Oechalia, mentioned in Hom. Il. 2,596; 730. The location of Oechalia is unclear (on the Peloponnese?). In Hom. Od. 21,20ff., Iphitus the son of E., while searching for his horses in Messenia, gives Odysseus his father's great bow (with which Odysseus later kills the suitors), and on his search is later murdered by Heracles. E. himself is killed by Apollo, whom he challenges to an archery competition (Od. 8,224-228). He plays an important role in the non-extant early epic ‘The Capture of Oechalia’ (Οἰχαλίας ἅλωσις; Oichalías…


(1,232 words)

Author(s): Riedweg, Christoph (Zürich) | Frede, Michael (Oxford) | Selzer, Christoph (Frankfurt/Main)
(Ἀρχύτας, Archỳtas) [1] of Tarentum Pythagoraean philosopher [German version] A. Life Important Pythagorean philosopher of the ‘mathematical’ orientation, politician of Tarentum, a friend of Plato's. His life and his teachings are known in little more than outline because of insufficient records; his true works, with the exception of a few fragments, are lost, as is Aristoxenus' biography, Aristotle's treatise on A.'s philosophy and his comparison of Plato's Timaeus and A. (no. 94 in Diog. Laert. 5,25 = no. 85 in Hesychius' catalogue). A. is described as the so…


(117 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] (Πέτρων; Pétrōn) of Himera. Considered by Diels/Kranz to be one of the older Pythagoreans (No. 16). In the only testimony, the authenticity of which is disputed (Hippys FGrH 554 F 5 = Phaenias fr. 12 Wehrli = Plut. De def. or. 23, 422de; cf. [1; 2]), the hypothesis that there are 183 worlds connected in a row with each other is attributed to him. Cosmology; Pythagoras; Pythagorean School Riedweg, Christoph (Zürich) Bibliography 1 W. Burkert, Lore and Science in Ancient Pythagoreanism, 1972, 114 n. 35 2 L. Zhmud, Wissenschaft, Philosophie und Religion im frühen Pyt…


(198 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] (Λύσις; Lýsis). Pythagorean of Tarentum, who according to Aristoxenus fr. 18 Wehrli, at a young age escaped together with Archippus [2] the arson attack on the Pythagoreans in Croton dated at around 450 and 440 or 415; he is said to have then migrated to Greece and to have become the teacher of Epaminondas in Thebes (cf. Aristox. ibid.; Dion Chrys. or. 49,5 etc.; [1]). L.'s pseudepigraphic letter to Hipparchus [3], in which the latter is urged to adhere to Pythagoras' instructions …


(336 words)

Author(s): Stein-Hölkeskamp, Elke (Cologne) | Riedweg, Christoph (Zürich)
(Κύλων; Kýlon). [German version] [1] Athenian aristocrat, victor in Olympia in 640 BC, attempted to establish tyrannical rule in 632 BC Athenian aristocrat, son-in-law of  Theagenes of Megara, became Olympic victor in 640 BC. C. and his hetaireíahetairía  [2]) occupied the Acropolis in Athens around 632 in order to establish  tyrannical rule there -- possibly with support from Megara. C. did not manage to mobilize the population to support him. The rebels initially were besieged by a contingent of citizens, b…


(70 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] (Τιμύχα; Timýcha). Spartan, 4th or end of the 6th cent. BC, wife of Myllias in a horror story told by Neanthes (FGrH 84 F 31). T. is mentioned in first place in the catalogue (perhaps dependent on Philochorus? [1]) of "most significant Pythagorean women" in Iambl. v.P. 267. Woman philosophers; Pythagoras [2]; Pythagorean School Riedweg, Christoph (Zürich) Bibliography 1 W. Burkert, Lore and Science in Ancient Pythagoreanism, 1972, 10540.


(2,937 words)

Author(s): Käppel, Lutz (Kiel) | Riedweg, Christoph (Zürich) | Cobet, Justus (Essen) | Neudecker, Richard (Rome) | Johannsen, Nina (Kiel) | Et al.
(Πυθαγόρας/ Pythagóras). [German version] [1] Fictitious Spartan and adviser to Numa Pompilius Fictitious person, supposedly from Sparta, victor at the Olympic Games in 716 BC, emigrated to Italy where he became an adviser to king Numa Pompilius. It seems this person was constructed to establish a connection between P. [2] and Roman religion (Plut. Numa 1,2-3). Käppel, Lutz (Kiel) Bibliography F. Ollier, Pythagore de Sparta, REG 59/60, 1946/7, 139-149. [German version] [2] Philosopher, c. 600 BC Natural philosopher and charismatic teacher from the 6th and early 5th cent…


(141 words)

Author(s): Riedweg, Christoph (Zürich)
[German version] (Μυλλίας/ Myllías). Pythagorean from Croton. It is said that he was reminded by Pythagoras of an earlier incarnation as Midas, son of the Phrygian king Gordius [1], and then went to Asia Minor to carry out rituals at Gordius's grave as ordered by Pythagoras (Aristot. fr. 191 Rose = 174 Gigon = Ael. VH 4,17 and Iambl. v.P. 143). The name M. is also found in a horror story by Neanthes FGrH 84 F 31 (= Iambl. VP 192-194), in which Dionysius [2] II (or I according to [1]) uses torture i…


(145 words)

Author(s): Frede, Michael (Oxford) | Riedweg, Christoph (Zürich)
[German version] (Φίντυς; Phíntys). Pseudonymous female author of a work in Pythagorean spirit, Περὶ γυναικὸς σωφροσύνας ( Perì gynaikòs sōphrosýnas, 'On the self-control of women'; two relatively long fragments in Doric dialect are preserved in Stob. 4,23,61): a woman's characteristic virtue is self-control; some particular traits and abilities are common to both men and women, others are either male or female; philosophizing is common to both. A woman attains the good specific to her by means of five things: cha…


(469 words)

Author(s): Stein-Hölkeskamp, Elke (Cologne) | Riedweg, Christoph (Zürich)
(Κλεινίας; Kleinías). [German version] [1] Friend of Solon, heard of the seisáchtheia in advance and was able to unjustly enrich himself One of  Solon's, friends, who heard of the   seisáchtheia in advance and, therefore, was able to unjustly enrich himself (Plut. Solon 15,6-9; cf. [Aristot.] Ath. Pol. 6,2). The story was probably invented in the late 5th cent. BC to discredit the descendants of these men (e.g., Alcibiades [3]). Stein-Hölkeskamp, Elke (Cologne) Bibliography Davies, 600 III Rhodes, 128f. Traill, PAA 575270. [German version] [2] Born c. 510 BC, son of Alcibiade…
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