Reflections on Frege’s Theory of Real Numbers†

Philosophia Mathematica 28 (2):236-257 (2020)
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Abstract

ABSTRACT Although Frege’s theory of real numbers in Grundgesetze der Arithmetik, Vol. II, is incomplete, it is possible to provide a logicist justification for the approach he is taking and to construct a plausible completion of his account by an extrapolation which parallels his theory of cardinal numbers.

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10.1093/philmat/nkaa014

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References found in this work

Frege.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Philosophy 68 (265):405-411.
Frege meets dedekind: A neologicist treatment of real analysis.Stewart Shapiro - 2000 - Notre Dame Journal of Formal Logic 41 (4):335--364.
Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
Reals by Abstraction.Bob Hale - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:197-207.

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