On Frege's Alleged Indispensability Argument

Philosophia Mathematica 13 (2):160-173 (2005)
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Abstract

The expression ‘indispensability argument’ denotes a family of arguments for mathematical realism supported among others by Quine and Putnam. More and more often, Gottlob Frege is credited with being the first to state this argument in section 91 of the _Grundgesetze der Arithmetik_. Frege's alleged indispensability argument is the subject of this essay. On the basis of three significant differences between Mark Colyvan's indispensability arguments and Frege's applicability argument, I deny that Frege presents an indispensability argument in that very often quoted section of the _Grundegesetze_.

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Pieranna Garavaso
University of Minnesota, Morris

References found in this work

Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.
Mathematics, Matter and Method. Philosophical Papers.Hilary Putnam - 1978 - Philosophy of Science 45 (1):151-155.
Mathematics and Indispensability.Elliott Sober - 1993 - Philosophical Review 102 (1):35-57.

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