Journal of Symbolic Logic

Tait's conservative extension theorem revisited

Ryota Akiyoshi

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Abstract

This paper aims to give a correct proof of Tait's conservative extension theorem. Tait's own proof is flawed in the sense that there are some invalid steps in his argument, and there is a counterexample to the main theorem from which the conservative extension theorem is supposed to follow. However, an analysis of Tait's basic idea suggests a correct proof of the conservative extension theorem and a corrected version of the main theorem.

Article information

Source
J. Symbolic Logic, Volume 75, Issue 1 (2010), 155-167.

Dates
First available in Project Euclid: 25 January 2010

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1264433913

Digital Object Identifier
doi:10.2178/jsl/1264433913

Mathematical Reviews number (MathSciNet)
MR2605886

Zentralblatt MATH identifier
1190.03015

Citation

Akiyoshi, Ryota. Tait's conservative extension theorem revisited. J. Symbolic Logic 75 (2010), no. 1, 155--167. doi:10.2178/jsl/1264433913. https://projecteuclid.org/euclid.jsl/1264433913


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