Frege's Definition of Numbers
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Date
1987-04
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Philosophical Papers
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Abstract
In searching for a theory of number, one of the first and most
fundamental decisions (or discoveries) to be made for Frege
concerns the logical status of numbers: are they objects or
functions? The route to the answer to this question in the
Grundlagen is tortuous indeed. It does not immediately
emerge that numbers are objects, and given a knowledge of
Frege’s later work, one might not think that this view was
forthcoming at all. In what follows I want to consider just what
objects Frege thinks numbers are, and how and why his early
account of this in the Grundlagen differs from his later
Grundgesetze formulation.
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Edwin Martin, "Frege's Definition of Numbers," Philosophical Papers, Vol. XVI, No. 1, April, 1987.
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