Article contents
Polyclitus and Pythagoreanism
Published online by Cambridge University Press: 11 February 2009
Extract
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © The Classical Association 1951
References
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.Google Scholar
2 For the use of in Pythagorean literature cf. also ‘Philolaus’, fr. 13.
1 Cf. Pliny, , Nat. Hist. 34. 55–6.Google Scholar
- 5
- Cited by