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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

B - Odborná kniha

CEP obor

AA - Filosofie a náboženství

OECD FORD obor

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Projekt

<a href="/cs/project/GD401%2F09%2FH007" target="_blank" >GD401/09/H007: Logické základy sémantiky</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

ISBN

978-3-319-02170-6

Počet stran knihy

77

Název nakladatele

Springer

Místo vydání

Berlin

Kód UT WoS knihy

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