Gentzen’s celebrated consistency proof—or proofs, to distinguish the different variations he gave1—of Peano Arithmetic in terms of transfinite induction up to the ordinal2 ε0 can be considered as the birth of modern proof theory.
CITATION STYLE
Kahle, R. (2015). Gentzen’s consistency proof in context. In Gentzen’s Centenary: The Quest for Consistency (pp. 3–24). Springer International Publishing. https://doi.org/10.1007/978-3-319-10103-3_1
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