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Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics

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Abstract:

Hans Hahn's long-neglected philosophy of mathematics is reconstructed here with an eye to his anticipation of the doctrine of logical pluralism. After establishing that Hahn pioneered a post-Tractarian conception of tautologies and attempted to overcome the traditional foundational dispute in mathematics, Hahn's and Carnap's work is briefly compared with Karl Menger's, and several significant agreements or differences between Hahn's and Carnap's work are specified and discussed.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/01445340500112108

Affiliations: Centre for Philosophy, GIPP, School of Social Science, University of Manchester, Manchester, M13 9PL, UK

Publication date: September 1, 2005

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