Journal Article

To Err is Humean<sup>†</sup>

MARK WILSON

in Philosophia Mathematica

Volume 7, issue 3, pages 247-257
Published in print October 1999 | ISSN: 0031-8019
Published online October 1999 | e-ISSN: 1744-6406 | DOI: http://dx.doi.org/10.1093/philmat/7.3.247
To Err is Humean†

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George Boolos, Crispin Wright, and others have demonstrated how most of Frege's treatment of arithmetic can be obtained from a second-order statement that Boolos dubbed ‘Hume's principle’. This note explores the historical evidence that Frege originally planned to develop a philosophical approach to numbers in which Hume's principle is central, but this strategy was abandoned midway through his Grundlagen.

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Subjects: Philosophy of Mathematics and Logic ; Mathematics

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