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Polyclitus and Pythagoreanism

  • J. E. Raven (a1)
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In a well-known quotation from Speusippus in the Theologumena Arithmeticae (82.10 de Falco), said to have been derived from Pythagorean sources, especially Philolaus, occur the following sentences: And again a little later: Similarly Sextus Empiricus (Math. 10. 279–80), drawing evidently on a relatively early Pythagorean source, writes as follows: And Aristotle himself writes of the Pythagoreans (Met. 1036b12): There were, in fact, certain Pythagoreans who equated the number 2 with the line because they regarded the line as ‘length without breadth extended between two points’; and likewise the number 3 was equated with the plane and 4 with the solid.

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1 Pythagoreans and Eleatics, pp. 101–11, 150–8. Since I have there described what I take to be the details of Eurytus' procedure, I refrain from repetition here.

2 For the use of in Pythagorean literature cf. also ‘Philolaus’, fr. 13.

1 Cf. Pliny, , Nat. Hist. 34. 55–6.

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The Classical Quarterly
  • ISSN: 0009-8388
  • EISSN: 1471-6844
  • URL: /core/journals/classical-quarterly
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