Critical Notice of Michael Dummett's Frege: Philosophy of Mathematics

Philosophical Books 1995 (2):89-102 (1995)
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Abstract

The aim of this critical notice is to elucidate Dummett's contributions to the issues surrounding Frege's contextual definition of number (the number of Fs equals the number of Gs if the Fs and the Gs are in one-one correspondence) and the interpretation of "Frege's theorem" -- the theorem that the second order theory consisting of the contextual definition implies the infinity of the natural numbers. To do so, we focus on Dummett's account of the context principle, his discussion of Frege's use of contextual definition, and his treatment of the "Julius Caesar problem."

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