Titlebook: Where is the G?del-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Const; Anna Horská Book 2014 The Author(s)

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Anna HorskáUnique detailed explanation of the first published consistency proof of PA (peano arithmetic).Includes Gentzen‘s unusual notation for ordinal numbers up to e_0 and its connection to Cantor normal form

Oligarchy

Where is the G?del-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Const978-3-319-02171-3Series ISSN 2211-4548 Series E-ISSN 2211-4556

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命令變成大炮

Preliminaries,nts sequents whose validity can be decided. Reduction steps for sequents, whose task is to reduce sequents to endform, are presented. Furthermore, an algorithm for reducing initial sequents to endform is defined and a detailed overview of the consistency proof is given. The chapter ends with a modif

MAIM

Ordinal Numbers,n about the ordering of the numbers in Gentzen’s notation are introduced. The relationship between Gentzen’s representation and Cantor normal form is analysed with the help of systems . and a recursive algorithm for translating Gentzen’s notation to Cantor normal form is defined. Furthermore, correc

affect

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