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Where Is The Gdelpoint Hiding Gentzens Consistency Proof Of 1936 And His Representation Of Constructive Ordinals 1st Edition Anna Horsk Auth

  • SKU: BELL-4408912
Where Is The Gdelpoint Hiding Gentzens Consistency Proof Of 1936 And His Representation Of Constructive Ordinals 1st Edition Anna Horsk Auth
$ 31.00 $ 45.00 (-31%)

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Where Is The Gdelpoint Hiding Gentzens Consistency Proof Of 1936 And His Representation Of Constructive Ordinals 1st Edition Anna Horsk Auth instant download after payment.

Publisher: Springer International Publishing
File Extension: PDF
File size: 1.71 MB
Pages: 77
Author: Anna Horská (auth.)
ISBN: 9783319021706, 9783319021713, 3319021702, 3319021710
Language: English
Year: 2014
Edition: 1

Product desciption

Where Is The Gdelpoint Hiding Gentzens Consistency Proof Of 1936 And His Representation Of Constructive Ordinals 1st Edition Anna Horsk Auth by Anna Horská (auth.) 9783319021706, 9783319021713, 3319021702, 3319021710 instant download after payment.

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.​

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