Platonism and Anti-Platonism in Mathematics

Paperback | March 15, 2001

byMark Balaguer

not yet rated|write a review
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.

Pricing and Purchase Info

$56.50

Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

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 ju...

Mark Balaguer is at California State University, Los Angeles.

other books by Mark Balaguer

Free Will
Free Will

Kobo ebook|Feb 14 2014

$16.19 online$20.98list price(save 22%)
Free Will as an Open Scientific Problem
Free Will as an Open Scientific Problem

Kobo ebook|Mar 12 2012

$18.19 online$23.61list price(save 22%)
Format: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

Look for similar items by category:

Customer Reviews of Platonism and Anti-Platonism in Mathematics

Reviews

Extra Content

Editorial Reviews

"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