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Nominalism, the nonexistence of mathematical objects

In: Mathematics, Substance and Surmise

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  • Jody Azzouni

    (Tufts University, Department of Philosophy)

Abstract

Nominalism is the view that, despite appearances, there are no mathematical entities. The ways that nominalism is both compatible with there being mathematical truths and falsehoods, and compatible with mathematical truths being valuable in scientific applications are explored in this paper. Some of the purely psychological reasons for why nominalism is so hard to believe in will also be discussed.

Suggested Citation

  • Jody Azzouni, 2015. "Nominalism, the nonexistence of mathematical objects," Springer Books, in: Ernest Davis & Philip J. Davis (ed.), Mathematics, Substance and Surmise, edition 1, pages 133-145, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-21473-3_7
    DOI: 10.1007/978-3-319-21473-3_7
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