Platonism and Anti-Platonism in Mathematics

Platonism and Anti-Platonism in Mathematics

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In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He establishes that both platonism and anti-platonism are defensible views and introduces a form of platonism (qfull-blooded platonismq) that solves all problems traditionally associated with the view, proceeding to defend anti-platonism (in particular, mathematical fictionalism) against various attacks--most notably the Quine-Putnam indispensability attack.I take this example from Norman Malcolma#39;s essay on Wittgenstein in the Encyclopedia of Philosophy. ... view, which abstract language is our a#39;.anguage will supervene on our usage, and (b) I could simply reword my argument in these terms.

Title:Platonism and Anti-Platonism in Mathematics
Author:Mark Balaguer
Publisher:Oxford University Press on Demand - 2001


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