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Where is the Gödel-point hiding
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Where is the Gödel-point hiding

Book Details

Format Paperback / Softback
ISBN-10 3319021702
ISBN-13 9783319021706
Publisher Springer International Publishing AG
Imprint Springer International Publishing AG
Country of Manufacture CH
Country of Publication GB
Publication Date Nov 6th, 2013
Print length 77 Pages
Weight 154 grams
Dimensions 23.40 x 15.50 x 0.70 cms
Ksh 9,900.00
Werezi Extended Catalogue 0 in stock

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This book explains the first published consistency proof of PA. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. 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.?
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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