東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Linking game-theoretical approaches ...

Clerbout, Nicolas.

FindBook

Google Book

Amazon

博客來

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Linking game-theoretical approaches with constructive type theory/ by Nicolas Clerbout, Shahid Rahman.
其他題名:	dialogical strategies, CTT demonstrations and the axiom of choice /
作者:	Clerbout, Nicolas.
其他作者:	Rahman, Shahid.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xix, 99 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Constructivism (Philosophy) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-19063-1
ISBN:	9783319190631 (electronic bk.)

Linking game-theoretical approaches with constructive type theory = dialogical 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:

534421
Constructivism (Philosophy)

LC Class. No.: B809.13

Dewey Class. No.: 149

Linking game-theoretical approaches with constructive type theory = dialogical strategies, CTT demonstrations and the axiom of choice /
LDR:02546nmm a2200325 a 4500 001 2009033
003 DE-He213
005 20160301112604.0
006 m d
007 cr nn 008maaau
008 160311s2015 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
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 2157844
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 : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
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 534421
650 0 $a Game theory. $3 532607
650 0 $a Axiom of choice. $3 768482
650 1 4 $a Philosophy. $3 516511
650 2 4 $a Logic. $3 529544
650 2 4 $a Mathematical Logic and Formal Languages. $3 892517
650 2 4 $a Game Theory, Economics, Social and Behav. Sciences. $3 891103
700 1 $a Rahman, Shahid. $3 907856
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in philosophy. $3 1568619
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19063-1
950 $a Humanities, Social Sciences and Law (Springer-11648)