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SpringerBriefs in Philosophy

Linking Game-Theoretical Approaches with Constructive Type Theory

Dialogical Strategies, CTT demonstrations and the Axiom of Choice

Authors: Clerbout, Nicolas, Rahman, Shahid

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  • Links two of the most dominant research streams in philosophy of logic - game theory and proof theory
  • Builds a link between the two main theories using the dialogical approach to logic
  • Focuses on the logically valid fragment of Constructive Type Theory
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eBook $54.99
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  • ISBN 978-3-319-19063-1
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Softcover $69.99
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  • ISBN 978-3-319-19062-4
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About this book

This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work’s subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT). The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for Mexico (gross)
  • ISBN 978-3-319-19063-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for Mexico
  • ISBN 978-3-319-19062-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linking Game-Theoretical Approaches with Constructive Type Theory
Book Subtitle
Dialogical Strategies, CTT demonstrations and the Axiom of Choice
Authors
Series Title
SpringerBriefs in Philosophy
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-19063-1
DOI
10.1007/978-3-319-19063-1
Softcover ISBN
978-3-319-19062-4
Series ISSN
2211-4548
Edition Number
1
Number of Pages
XIX, 99
Number of Illustrations
26 b/w illustrations
Topics