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Where is the Goedel-point hiding: Gentzen's Consistency Proof of 1936 and His Representation of Constructive Ordinals (Paperback, 2014 ed.) Loot Price: R2,091

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Where is the Goedel-point hiding: Gentzen's Consistency Proof of 1936 and His Representation of Constructive Ordinals...

Where is the Goedel-point hiding: Gentzen's Consistency Proof of 1936 and His Representation of Constructive Ordinals (Paperback, 2014 ed.)

Anna Horska

Series: SpringerBriefs in Philosophy

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Loot Price R2,091 Discovery Miles 20 910 | Repayment Terms: R196 pm x 12*

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This 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 an algorithm for translating Gentzen's notation into Cantor normal form. The topic should interest researchers and students who work on proof theory, history of proof theory or Hilbert's program and who do not mind reading mathematical texts. "

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Philosophy
Release date:	October 2013
First published:	2014
Authors:	Anna Horska
Dimensions:	235 x 155 x 4mm (L x W x T)
Format:	Paperback
Pages:	77
Edition:	2014 ed.
ISBN-13:	978-3-319-02170-6
Categories:	Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic Promotions
LSN:	3-319-02170-2
Barcode:	9783319021706