Author:
BOCCUNI FRANCESCA,PANZA MARCO
Abstract
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. We restate Frege’s definition in a consistent logical framework and investigate whether it can provide a logical foundation of real analysis. Our conclusion will deem it doubtful that such a foundation along the lines of Frege’s own indications is possible at all.
Publisher
Cambridge University Press (CUP)
Subject
Logic,Philosophy,Mathematics (miscellaneous)
Reference41 articles.
1. Addendum to ‘Embedding Theorems for Infinite Groups’;de Bruijn;Nederlandse Akademie van Wetenschappen. Proceedings,1964
2. Abstraction and Epistemic Economy
3. [32] Panza, M. (FC3) Reals by Abstraction. An enquiry about Epistemic Economy in Mathematics. Forthcoming monograph.
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