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Re: Mathematical Ontology

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Posted by Harvey on September 10, 2001 03:30:38 UTC

Hi Luis,

>>>Reading through these threads, I see that many people ascribe metaphysical *meaning* to the focus of their posts. (I'm referring specifically to the idea that mathematical entities are not simply a human invention, but rather an innate aspect of reality.) This treatment of any scientific discussion will invariably decay into a "my dogma is better than your dogma" discussion.>Is it not the nature of science to maintain a tentative hold on belief, no matter how tried-and-true said belief may be?>). Some would use set theory to tout mathematics as independent of its objects, and therefore metaphysical, but an indepth examination of the issue reveals that set theory is wholly dependent upon the mathematics it supports. I.e., it is not independently logical. Again, we're heading down the road to absurdity.

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