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.
Citation
W. W. Tait. "Gödel's reformulation of Gentzen's first consistency proof for arithmetic: the no-counterexample interpretation." Bull. Symbolic Logic 11 (2) 225 - 238, June 2005. https://doi.org/10.2178/bsl/1120231632
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