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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…

Philolaus

(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 …

Hipparchus

(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…

Hicetas

(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…

Lamiscus

(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)

Number

(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…
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