Logic, Epistemology, and the Unity of Science

Intuitionistic Proof Versus Classical Truth

The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics

Authors: Martino, Enrico

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  • Offers a new analysis of the role of Brouwer’s creative subject
  • Details realistic aspects of the idealization of the creative subject
  • Examines the hidden role of acts of choice even in classical logic and mathematics
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  • ISBN 978-3-319-74357-8
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Hardcover $99.99
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Softcover $99.99
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About this book

This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism.

The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting.

This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.



About the authors

Enrico Martino was associated professor (now retired) of Logic and Philosophy of Mathematics in the department of Mathematics and, subsequently of FISPPA of the University of Padua. His main interests are Philosophy of Logic and Mathematics.

 

Reviews

“Anyone with an interest in the murkier aspects of intuitionism will find this book well worth reading.” (Peter Fletcher, Studia Logica, Vol. 107, 2019)

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-319-74357-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-319-74356-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $99.99
price for USA in USD
  • ISBN 978-3-030-08971-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Intuitionistic Proof Versus Classical Truth
Book Subtitle
The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics
Authors
Series Title
Logic, Epistemology, and the Unity of Science
Series Volume
42
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-74357-8
DOI
10.1007/978-3-319-74357-8
Hardcover ISBN
978-3-319-74356-1
Softcover ISBN
978-3-030-08971-9
Series ISSN
2214-9775
Edition Number
1
Number of Pages
XIII, 170
Number of Illustrations
1 b/w illustrations
Topics