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

Authors
Pieranna Garavaso
University of Minnesota, Morris
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_.
Keywords Frege  Indispensability Argument  Colyvan
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DOI 10.1093/philmat/nki018
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References found in this work BETA

Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.
Mathematics and Indispensability.Elliott Sober - 1993 - Philosophical Review 102 (1):35-57.
Mathematics, Matter and Method. Philosophical Papers.Hilary Putnam - 1978 - Philosophy of Science 45 (1):151-155.
The Application of Mathematics to Natural Science.Mark Steiner - 1989 - Journal of Philosophy 86 (9):449-480.

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Citations of this work BETA

Frege, Indispensability, and the Compatibilist Heresy.Andrea Sereni - 2015 - Philosophia Mathematica 23 (1):11-30.

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