Intuitionistic Proof Versus Classical Truth

The Role of Brouwer's Creative Subject in Intuitionistic Mathematics

Autor: Enrico Martino

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Editura: Springer International Publishing AG

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This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring...

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Autor

Enrico Martino

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2018

Pagini

170

EAN

9783319743561

ISBN

3319743562

Enbook ID

18679893

Editura

Springer International Publishing AG

Greutate

4026

Dimensiuni

155 x 235 x 16

Descriere completă

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.

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Intuitionistic Proof Versus Classical Truth

The Role of Brouwer's Creative Subject in Intuitionistic Mathematics

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