[HM] Is incommensurability a death blow to Pythagorean doctrine?

Samuel S. Kutler (s-kutler@sjca.edu)
Wed, 23 Dec 1998 12:14:53 -0500 (EST)

David Fowler:

Let the hypothetical be a contrary to fact conditional if you wish. But
place in your imagination what, in that case, did not in fact occur:
Namely, that they had already discovered incommensurability. Then in our
fantasy world, incommensurability would have contradicted their fundamental
doctrine. Aha! Whether or not they had discovered incommensurability,
it, incommensurability, contradicts the notion that

The elements of arithmos are the elements of all things.

My question remains: Do you, David, agree that incommensurability deals a
death blow to what Aristotle claims is a fundamental belief of Pythagoreans?

Merry Christmas and a very fine '99 from Annapolis,

Sam Kutler