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Licensed Unlicensed Requires Authentication Published by De Gruyter July 25, 2013

Counting the Hypotheses in Plato’s Parmenides

  • Ron Polansky EMAIL logo and Joe Cimakasky EMAIL logo
From the journal Apeiron

Abstract

Parmenides’ exercise assists Socrates who is perplexed about forms and participation. The exercise assumes the one is and is not, and traces consequences for the one with respect to itself and the others and for the others with respect to themselves and the one. There appear to be eight or nine hypotheses. Counting the third makes all the odd-numbered hypotheses draw neither … nor … conclusions, while the even-numbered draw both … and … conclusions. Odd and even thus link with limit and unlimited principles, so the third hypothesis on the instant clarifies forms and all beings. We also cast light on the Presocratic origin of the theory of forms.

Published Online: 2013-07-25
Published in Print: 2013-07

© 2013 by Walter de Gruyter GmbH & Co.

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