New York, NY, USA: Oxford University Press (1998)
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Abstract |
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 views. Introducing a form of platonism ("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 argument for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct.
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Keywords | Mathematics Philosophy Platonists |
Categories | (categorize this paper) |
Reprint years | 2001 |
Buy this book | Amazon page |
Call number | QA8.4.B345 1998 |
ISBN(s) | 9780195122305 9780195143980 0195143981 0195122305 9780195352764 |
DOI | 10.2307/3071098 |
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Citations of this work BETA
What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut (ed.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity. Springer Verlag.
An Inferential Conception of the Application of Mathematics.Otávio Bueno & Mark Colyvan - 2011 - Noûs 45 (2):345-374.
Go Figure: A Path Through Fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.
Modal Pluralism and Higher-Order Logic.Justin Clarke-Doane & William McCarthy - forthcoming - Philosophical Perspectives.
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