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FREGE’S THEORY OF REAL NUMBERS: A CONSISTENT RENDERING
Published online by Cambridge University Press: 22 February 2021
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.
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- Research Article
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- © The Author(s), 2021. Published by Cambridge University Press on behalf of The Association for Symbolic Logic
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