Frege’s definition of the real numbers, as envisaged in the second volume of Grundgesetze der Arithmetik, is fatally flawed by the inconsistency of Frege’s ill-fatedBasic Law V. Werestate Frege’s definition in a consistent logical framework and investigate whether it canprovide a logical foundation of real analysis. Our conclusion will deem it doubtful that sucha foundation along the lines of Frege’s own indications is possible at all.

Frege's Theory of Real Numbers: A Consistent Rendering / Boccuni, Francesca; Panza, Marco. - In: THE REVIEW OF SYMBOLIC LOGIC. - ISSN 1755-0203. - 15:3(2022), pp. 624-667. [10.1017/S175502032000026X]

Frege's Theory of Real Numbers: A Consistent Rendering

Francesca Boccuni
Co-primo
;
2022-01-01

Abstract

Frege’s definition of the real numbers, as envisaged in the second volume of Grundgesetze der Arithmetik, is fatally flawed by the inconsistency of Frege’s ill-fatedBasic Law V. Werestate Frege’s definition in a consistent logical framework and investigate whether it canprovide a logical foundation of real analysis. Our conclusion will deem it doubtful that sucha foundation along the lines of Frege’s own indications is possible at all.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11768/100917
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