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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
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*>three conflicting ways that people use the term "Platonism":
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*>
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*>1. Platonism == Mathematical Realism.
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*>2. Platonism == The belief in Ideal Horses, which "real" horses only
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*>approximate.
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*>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

Date: Fri, 02 Jul 2004 14:45:45 -0400

Kory Heath wrote:

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

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