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Logic in Asia: Studia Logica Library

Ordinal Analysis with an Introduction to Proof Theory

Authors: Arai, Toshiyasu

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  • Covers ordinal analysis at an advanced level, and proof theory at an elementary level 
  • Approaches ordinal analysis in a contemporary fashion
  • Includes a wealth of exercises and answers, making it suitable for student use
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eBook 64,19 €
price for Spain (gross)
  • ISBN 978-981-15-6459-8
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Hardcover 77,99 €
price for Spain (gross)
  • ISBN 978-981-15-6458-1
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  • Immediate ebook access, if available*, with your print order
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About this Textbook

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.

About the authors

Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeuti’s consistency proofs.He got positions in Nagoya University, Hiroshima University, Kobe University, Chiba University, and University of Tokyo. His research interest is in proof theory. He received the MSJ Autumn Prize from the Mathematical Society of Japan in 2004 for the research on the Hilbert’s second problem.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 64,19 €
price for Spain (gross)
  • ISBN 978-981-15-6459-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 77,99 €
price for Spain (gross)
  • ISBN 978-981-15-6458-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Ordinal Analysis with an Introduction to Proof Theory
Authors
Series Title
Logic in Asia: Studia Logica Library
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-6459-8
DOI
10.1007/978-981-15-6459-8
Hardcover ISBN
978-981-15-6458-1
Series ISSN
2364-4613
Edition Number
1
Number of Pages
XVI, 313
Number of Illustrations
20 b/w illustrations
Topics

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