Téléchargez le livre : Intuitionistic Proof Versus Classical Truth

Intuitionistic Proof Versus Classical Truth

The Role of Brouwer's Creative Subject in Intuitionistic Mathematics de

Éditeur :

Springer


Collection :

Logic, Epistemology, and the Unity of Science

Paru le : 2018-02-23

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Description

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 includeMichael 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.
Pages
170 pages
Collection
Logic, Epistemology, and the Unity of Science
Parution
2018-02-23
Marque
Springer
EAN papier
9783319743561
EAN PDF
9783319743578
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
2877 Ko
Prix
94,94 €

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