A fictionalist account of the indispensable applications of mathematics

Philosophical Studies 83 (3):291 - 314 (1996)
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Abstract

The main task of this paper is to defend anti-platonism by providing an anti-platonist (in particular, a fictionalist) account of the indispensable applications of mathematics to empirical science.

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Mark Balaguer
California State University, Los Angeles

Citations of this work

Go figure: A path through fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.
There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
A fictionalist theory of universals.Tim Button & Robert Trueman - forthcoming - In Peter Fritz & Nicholas K. Jones (eds.), Higher-order Metaphysics. Oxford University Press.

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References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
From a Logical Point of View.Willard Van Orman Quine - 1953 - Cambridge: Harvard University Press.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
The nature of mathematical knowledge.Philip Kitcher - 1983 - Oxford: Oxford University Press.

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