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Tait's conservative extension theorem revisited

Published online by Cambridge University Press:  12 March 2014

Ryota Akiyoshi*
Affiliation:
Department of Philosophy, Keio University, Tokyo, Mita 2-15-45, Japan, E-mail: georg_logic@s7.dion.ne.jp

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.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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