Where is the Gödel-Point hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F14%3A10159454" target="_blank" >RIV/00216208:11210/14:10159454 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-319-02171-3" target="_blank" >http://dx.doi.org/10.1007/978-3-319-02171-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-02171-3" target="_blank" >10.1007/978-3-319-02171-3</a>

Result language

angličtina

Original language name

Where is the Gödel-Point hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals

Original language description

The book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. This representation is analysed and connection to set-theoretical representation is found, namely analgorithm for translating Gentzen's notation into Cantor normal form.

Czech name

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Czech description

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Type

B - Specialist book

CEP classification

AA - Philosophy and religion

OECD FORD branch

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Project

<a href="/en/project/GD401%2F09%2FH007" target="_blank" >GD401/09/H007: Logical foundations of semantics</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

978-3-319-02170-6

Number of pages

77

Publisher name

Springer

Place of publication

Berlin

UT code for WoS book

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