Re: Mathematical Logic, Podnieks'page ...

From: Jesse Mazer <lasermazer.domain.name.hidden>
Date: Fri, 02 Jul 2004 14:45:45 -0400

Kory Heath wrote:

>Thanks for the clarification. In this short discussion I've seen at least
>three conflicting ways that people use the term "Platonism":
>
>1. Platonism == Mathematical Realism.
>2. Platonism == The belief in Ideal Horses, which "real" horses only
>approximate.
>3. Platonism == Non-constructivism.

Roger Penrose uses the word "mathematical Platonism" to describe his
philosophy of math, which is clearer in that it obviously does not require
believing in such a beast as the "Ideal Horse". As for the
non-constructivism definition, is it possible to be a non-constructivist but
not a mathematical realist? If not then these aren't really separate
definitions.

Jesse
Received on Fri Jul 02 2004 - 14:58:15 PDT