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Intuitionistic proof versus classica...

Martino, Enrico.

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Intuitionistic proof versus classical truth = the role of Brouwer's creative subject in intuitionistic mathematics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Intuitionistic proof versus classical truth/ by Enrico Martino.
Reminder of title:	the role of Brouwer's creative subject in intuitionistic mathematics /
Author:	Martino, Enrico.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 170 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Intuitionistic mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-74357-8
ISBN:	9783319743578

Intuitionistic proof versus classical truth = the role of Brouwer's creative subject in intuitionistic mathematics /
Martino, Enrico.

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /[electronic resource] :by Enrico Martino. - Cham :Springer International Publishing :2018. - xiii, 170 p. :ill., digital ;24 cm. - Logic, epistemology, and the unity of science,v.422214-9775 ;. - Logic, epistemology, and the unity of science ;v.42..

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

ISBN: 9783319743578

Standard No.: 10.1007/978-3-319-74357-8doiSubjects--Topical Terms:

924240
Intuitionistic mathematics.

LC Class. No.: QA8.4 / .M37 2018

Dewey Class. No.: 510.1

Intuitionistic proof versus classical truth = the role of Brouwer's creative subject in intuitionistic mathematics /
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245 1 0 $a Intuitionistic proof versus classical truth $h [electronic resource] : $b the role of Brouwer's creative subject in intuitionistic mathematics / $c by Enrico Martino.
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490 1 $a Logic, epistemology, and the unity of science, $x 2214-9775 ; $v v.42
520 $a 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-Lof, 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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