國立高雄大學圖資館 |

Language: English

Back

Intuitionistic proof versus classica...

Martino, Enrico.

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Intuitionistic proof versus classical truthby 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$q(electronic bk.)

Intuitionistic proof versus classical truththe 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.23..

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$q(electronic bk.)

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

307728
Intuitionistic mathematics.

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

Dewey Class. No.: 510.1

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /
LDR:02288nmm a2200325 a 4500 001 532118
003 DE-He213
005 20180223141414.0
006 m d
007 cr nn 008maaau
008 181113s2018 gw s 0 eng d
020 $a 9783319743578$q(electronic bk.)
020 $a 9783319743561$q(paper)
024 7 $a 10.1007/978-3-319-74357-8 $2 doi
035 $a 978-3-319-74357-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA8.4 $b .M37 2018
072 7 $a PBB $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a SCI075000 $2 bisacsh
082 0 4 $a 510.1 $2 23
090 $a QA8.4 $b .M386 2018
100 1 $a Martino, Enrico. $3 806987
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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 170 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Intuitionistic mathematics. $3 307728
650 0 $a Brouwerian algebras. $3 806988
650 1 4 $a Philosophy. $3 176573
650 2 4 $a Philosophy of Mathematics. $3 745264
650 2 4 $a Mathematical Logic and Foundations. $3 274479
650 2 4 $a Philology. $3 178593
650 2 4 $a Mathematical Logic and Formal Languages. $3 275383
650 2 4 $a Logic. $3 180785
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Logic, epistemology, and the unity of science ; $v v.23. $3 557737
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74357-8
950 $a Religion and Philosophy (Springer-41175)