Mathematical Pluralism and Platonism

Journal of the Indian Council of Philosophical Research 34 (2):379-398 (2017)
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Abstract

PurposeThis paper aims to establish that a certain sort of mathematical pluralism is true. MethodsThe paper proceeds by arguing that that the best versions of mathematical Platonism and anti-Platonism both entail the relevant sort of mathematical pluralism. Result and ConclusionThis argument gives us the result that mathematical pluralism is true, and it also gives us the perhaps surprising result that mathematical Platonism and mathematical pluralism are perfectly compatible with one another.

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Mark Balaguer
California State University, Los Angeles

References found in this work

Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
The Problems of Philosophy.Bertrand Russell - 1912 - Mind 21 (84):556-564.
Models and reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
Go figure: A path through fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.

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