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Gentzen's Centenary

The Quest for Consistency

Editors: Kahle, Reinhard, Rathjen, Michael (Eds.)

  • Provides a comprehensive picture of proof-theoretic investigations following Gerhard Gentzen's seminal work
  • Revisits and re-evaluates Gentzen's original proof(s) of the consistency of arithmetic
  • Includes surveys on subsequent developments in proof theory up to the most recent research
  • Additionally contains contributions reflecting on the philosophical impact of Gentzen's result   
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Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-10103-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-319-10102-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.   

About the authors

    

Reviews

“This book is the follow-on to the 2009 symposium in Leeds celebrating the centenary of the great German logician Gerhard Gentzen. It contains survey as well as technical chapters by highly respected proof theorists. It is of interest to logicians and computer scientists working in theorem proving, type theory, and proof complexity.” (K. Lodaya, Computing Reviews, April, 2016)


   

Table of contents (19 chapters)

  • Gentzen’s Consistency Proof in Context

    Kahle, Reinhard

    Pages 3-24

  • Gentzen’s Anti-Formalist Views

    Detlefsen, Michael

    Pages 25-44

  • The Use of Trustworthy Principles in a Revised Hilbert’s Program

    Setzer, Anton

    Pages 45-60

  • On Gentzen’s First Consistency Proof for Arithmetic

    Buchholz, Wilfried

    Pages 63-87

  • From Hauptsatz to Hilfssatz

    Plato, Jan

    Pages 89-130

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-10103-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-319-10102-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Gentzen's Centenary
Book Subtitle
The Quest for Consistency
Editors
  • Reinhard Kahle
  • Michael Rathjen
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-10103-3
DOI
10.1007/978-3-319-10103-3
Softcover ISBN
978-3-319-10102-6
Edition Number
1
Number of Pages
X, 561
Number of Illustrations and Tables
23 b/w illustrations
Topics