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-fated Basic 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
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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-fated Basic 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.| File | Dimensione | Formato | |
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