Nominalism Reconsidered

In Stewart Shapiro, Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press (2005)
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Abstract

Nominalism is the view that mathematical objects do not exist. This chapter delimits several types of nominalistic projects: revolutionary programs that attempt to change mathematics and hermeneutic programs that attempt to interpret mathematics. Some programs accord with naturalism, and some oppose naturalism. Steven Yablo’s fictionalism is brought into the fold and discussed at some length.

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Gideon Rosen
Princeton University
John Burgess
Princeton University

Citations of this work

Abstract Objects.David Liggins - 2024 - Cambridge: Cambridge University Press.
Edenic Idealism.Robert Smithson - 2023 - Australasian Journal of Philosophy 101 (1):16-33.
In defence of error theory.Chris Daly & David Liggins - 2010 - Philosophical Studies 149 (2):209-230.
Abstract Expressionism and the Communication Problem.David Liggins - 2014 - British Journal for the Philosophy of Science 65 (3):599-620.
Fictionalism.Matti Eklund - 2010 - Stanford Encyclopedia of Philosophy.

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