Nominalism, Trivialism, Logicism
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This paper extracts some of the main theses in the philosophy of mathematics from my book, The Construction of Logical Space. I show that there are important limits to the availability of nominalistic paraphrase functions for mathematical languages, and suggest a way around the problem by developing a method for specifying nominalistic contents without corresponding nominalistic paraphrases. Although much of the material in this paper is drawn from the book — and from an earlier paper — I hope the present discussion will earn its keep by motivating the ideas in a new way, and by suggesting further applications.
DepartmentMassachusetts Institute of Technology. Department of Linguistics and Philosophy
Oxford University Press
Rayo, A. “Nominalism, Trivialism, Logicism.” Philosophia Mathematica 23, no. 1 (June 16, 2014): 65–86.
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