國立高雄大學圖資館 |

Language: English

Back

Linking game-theoretical approaches ...

Clerbout, Nicolas.

Linking game-theoretical approaches with constructive type theorydialogical strategies, CTT demonstrations and the axiom of choice /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linking game-theoretical approaches with constructive type theoryby Nicolas Clerbout, Shahid Rahman.
Reminder of title:	dialogical strategies, CTT demonstrations and the axiom of choice /
Author:	Clerbout, Nicolas.
other author:	Rahman, Shahid.
Published:	Cham :Springer International Publishing :2015.
Description:	xix, 99 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Constructivism (Philosophy)
Online resource:	http://dx.doi.org/10.1007/978-3-319-19063-1
ISBN:	9783319190631 (electronic bk.)

Linking game-theoretical approaches with constructive type theorydialogical strategies, CTT demonstrations and the axiom of choice /
Clerbout, Nicolas.

Linking game-theoretical approaches with constructive type theorydialogical strategies, CTT demonstrations and the axiom of choice /[electronic resource] :by Nicolas Clerbout, Shahid Rahman. - Cham :Springer International Publishing :2015. - xix, 99 p. :ill., digital ;24 cm. - SpringerBriefs in philosophy,2211-4548. - SpringerBriefs in philosophy..

Chapter 1. Brief Reminder of Constructive Type Theory -- Chapter 2. Dialogues with Play-Objects -- Chapter 3. From dialogical strategies to CTT demonstrations -- Chapter 4. The dialogical take on the Axiom of Choice, and its translation into CTT -- Chapter 5. Building a winning P-strategy out of a CTT demonstration -- Chapter 6. Conclusions and Work in Progress.

This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work's subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT) The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work.

ISBN: 9783319190631 (electronic bk.)

Standard No.: 10.1007/978-3-319-19063-1doiSubjects--Topical Terms:

215632
Constructivism (Philosophy)

LC Class. No.: B809.13

Dewey Class. No.: 149

Linking game-theoretical approaches with constructive type theorydialogical strategies, CTT demonstrations and the axiom of choice /
LDR:02582nmm a2200337 a 4500 001 472726
003 DE-He213
005 20160301112604.0
006 m d
007 cr nn 008maaau
008 160316s2015 gw s 0 eng d
020 $a 9783319190631 (electronic bk.)
020 $a 9783319190624 (paper)
024 7 $a 10.1007/978-3-319-19063-1 $2 doi
025 4 6 $a nam a2200325 a 4500
035 $a 978-3-319-19063-1
040 $a GP $c GP
041 0 $a eng
050 4 $a B809.13
072 7 $a HPL $2 bicssc
072 7 $a PHI011000 $2 bisacsh
082 0 4 $a 149 $2 23
090 $a B809.13 $b .C629 2015
100 1 $a Clerbout, Nicolas. $3 727976
245 1 0 $a Linking game-theoretical approaches with constructive type theory $h [electronic resource] : $b dialogical strategies, CTT demonstrations and the axiom of choice / $c by Nicolas Clerbout, Shahid Rahman.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a xix, 99 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in philosophy, $x 2211-4548
505 0 $a Chapter 1. Brief Reminder of Constructive Type Theory -- Chapter 2. Dialogues with Play-Objects -- Chapter 3. From dialogical strategies to CTT demonstrations -- Chapter 4. The dialogical take on the Axiom of Choice, and its translation into CTT -- Chapter 5. Building a winning P-strategy out of a CTT demonstration -- Chapter 6. Conclusions and Work in Progress.
520 $a This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work's subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT) The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work.
650 0 $a Constructivism (Philosophy) $3 215632
650 0 $a Game theory. $3 182956
650 0 $a Axiom of choice. $3 339369
650 1 4 $a Philosophy. $3 176573
650 2 4 $a Logic. $3 180785
650 2 4 $a Mathematical Logic and Formal Languages. $3 275383
650 2 4 $a Game Theory, Economics, Social and Behav. Sciences. $3 274083
700 1 $a Rahman, Shahid. $3 285945
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in philosophy. $3 560618
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19063-1
950 $a Humanities, Social Sciences and Law (Springer-11648)