Platonism and Anti-Platonism in Mathematics by Mark BalaguerPlatonism and Anti-Platonism in Mathematics by Mark Balaguer

Platonism and Anti-Platonism in Mathematics

byMark Balaguer

Paperback | March 15, 2001

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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 establishingthat 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 variousattacks-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 ofengagement and makes vital reading for both specialists and all those intrigued by the philosophy of mathematics, or metaphysics in general.
Mark Balaguer is at California State University, Los Angeles.
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Title:Platonism and Anti-Platonism in MathematicsFormat:PaperbackDimensions:240 pages, 5.71 × 8.9 × 0.79 inPublished:March 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195143981

ISBN - 13:9780195143980

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"Platonism and anti-platonism in mathematics is an impressive work. Balaguer presents forceful arguments for the viability of both FBP and fictionalism, and against the feasibility of any substantially different Platonist or anti-Platonist position. ... an admirable achievement."--TheBulletin of Symbolic Logic