Spector’s Proof of the Consistency of Analysis

Fernando Ferreira ()
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Fernando Ferreira: Universidade de Lisboa, Departamento de Matemática, Faculdade de Ciências

A chapter in Gentzen's Centenary, 2015, pp 279-300 from Springer

Abstract: Abstract The editors of this volume asked me to present and discuss Clifford Spector’s proof of the consistency of analysis. It is only fitting that, in a volume dedicated to Gerhard Gentzen, known for his epoch-making consistency proof of Peano arithmetic PA, Spector’s proof of consistency of analysis is discussed. Gentzen’s approach to consistency proofs has been systematically developed and generalized by the German school of proof theory (Schütte, Pohlers, Buchholz, Jäger, Rathjen, etc.) and others.

Keywords: Finite Type; Finite Sequence; Consistency Proof; Extensional Equality; Comprehension Principle (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_11

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DOI: 10.1007/978-3-319-10103-3_11

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