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Platonism and Anti-Platonism in Mathematics Paperback - 2001
by Mark Balaguer
In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)
First line
In this chapter, I will discuss Benacerraf's epistemological argument against platonism, which holds, in a nutshell, that platonism cannot be right because it precludes the possibility of mathematical knowledge.
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- Title Platonism and Anti-Platonism in Mathematics
- Author Mark Balaguer
- Binding Paperback
- Edition First edition
- Pages 240
- Volumes 1
- Language ENG
- Publisher Oxford University Press, USA, New York, NY, U.S.A.
- Date 2001-07-19
- Features Bibliography, Index, Table of Contents
- ISBN 9780195143980 / 0195143981
- Weight 0.83 lbs (0.38 kg)
- Dimensions 9.26 x 6.07 x 0.7 in (23.52 x 15.42 x 1.78 cm)
- Reading level 1480
- Library of Congress Catalog Number 97033108
- Dewey Decimal Code 510.1
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Oxford University Press, USA. New. 2001. Paperback. 0195143981 .*** FREE UPGRADE to Courier/Priority Shipping Upon Request *** - *** IN STOCK AND IMMEDIATELY AVAILABLE FOR SHIPMENT - AS NEW, THE TEXT BLOCK IS PRISTINE, CLEAN, UNMARKED, AND IN EXCELLENT CONDITION - -- 240 pages. Description: "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…
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