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Polyclitus and Pythagoreanism

Published online by Cambridge University Press:  11 February 2009

J. E. Raven
J. E. Raven
Affiliation:
KING'S COLLEGE:, CAMBRIDGE.
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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
The Classical Quarterly , Volume 1 , Issue 3-4 , July 1951 , pp. 147 - 152
Copyright
Copyright © The Classical Association 1951

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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