Gentzen’s Consistency Proof in Context

Reinhard Kahle ()
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Reinhard Kahle: Universidade Nova de Lisboa, CMA, CENTRIA, and DM, FCT

A chapter in Gentzen's Centenary, 2015, pp 3-24 from Springer

Abstract: Abstract 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 $$\varepsilon _{0}$$ can be considered as the birth of modern proof theory.

Keywords: Proof Theory; Peano Arithmetic; Incompleteness Theorem; German Original; Consistency Proof (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10103-3_1

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DOI: 10.1007/978-3-319-10103-3_1

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