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Intuitionistic Proof Versus Classical Truth: The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics - Couverture souple

Livre 32 sur 41: Logic, Epistemology, and the Unity of Science

Martino, Enrico

 
9783030089719: Intuitionistic Proof Versus Classical Truth: The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics
Couverture souple
ISBN 10 : 3030089711 ISBN 13 : 9783030089719
Editeur : Springer, 2018

Synopsis

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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À propos de l'auteur

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.

À propos de la quatrième de couverture

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.



Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2018
Langue
anglais
ISBN 10 
3030089711
ISBN 13 
9783030089719
Reliure
Broché
Nombre de pages
170
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