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Gödel's Reformulation of Gentzen's First Consistency Proof For Arithmetic: The No-Counterexample Interpretation

Published online by Cambridge University Press:  15 January 2014

W. W. Tait
W. W. Tait*
Affiliation:
5522 S. Everett Ave., Chicago, Il 60637, USAE-mail: wwtx@earthlink.net
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Abstract

The last section of “Lecture at Zilsel's” [9, §4] contains an interesting but quite condensed discussion of Gentzen's first version of his consistency proof for PA [8], reformulating it as what has come to be called the no-counterexample interpretation. I will describe Gentzen's result (in game-theoretic terms), fill in the details (with some corrections) of Gödel's reformulation, and discuss the relation between the two proofs.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 11 , Issue 2 , June 2005 , pp. 225 - 238
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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