On Frege's Alleged Indispensability Argument

Philosophia Mathematica 13 (2):160-173 (2005)
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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Mark Colyvan (1998). In Defence of Indispensability. Philosophia Mathematica 6 (1):39-62.
Lieven Decock (2002). Quine's Weak and Strong Indispensability Argument. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 33 (2):231-250.
Woosuk Park (2008). Isn't the Indispensability Argument Necessarily Analogical? Proceedings of the Xxii World Congress of Philosophy 41:13-18.

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