Reflections on Frege’s Theory of Real Numbers

Reflections on Frege’s Theory of Real Numbers

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...

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Veröffentlicht in:Philosophia mathematica 2020-06, Vol.28 (2), p.236-257
1. Verfasser: Roeper, Peter
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0031-8019
1744-6406
DOI:10.1093/philmat/nkaa014