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Science/Engineering Platonism and Anti-Platonism in Mathematics

Posted on 2010-03-16




Name:Science/Engineering Platonism and Anti-Platonism in Mathematics
ASIN/ISBN:0195143981
Language:English
File size:14.61 Mb
Publisher: Oxford University Press
Publish Date: 2001
ISBN: 0195143981
File Type: PDF
Pages: 240 pages
File Size: 14,61 Mb
   Science/Engineering Platonism and Anti-Platonism in Mathematics

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Mark Balaguer «Platonism and Anti-Platonism in Mathematics»

In this highly absorbing work, Balaguer demonstrates that no good arguments exist either for or against mathematical platonism-for example, the view that abstract mathematical objects do exist and that mathematical theories are descriptions of such objects. Balaguer does this by establishing that both platonism and anti-platonism are justifiable views. Introducing a form of platonism, called "full-blooded platonism," that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks-most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good arguments for or against platonism but that we could never have such an argument. This lucid and accessible book breaks new ground in its area of

engagement and makes vital reading for both specialists and all those intrigued by the philosophy of mathematics, or metaphysics in general.

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