000728103 000__ 03155cam\a2200457Ii\4500 000728103 001__ 728103 000728103 005__ 20230306140954.0 000728103 006__ m\\\\\o\\d\\\\\\\\ 000728103 007__ cr\cn\nnnunnun 000728103 008__ 150710s2015\\\\sz\a\\\\ob\\\\000\0\eng\d 000728103 020__ $$a9783319190631$$qelectronic book 000728103 020__ $$a3319190636$$qelectronic book 000728103 020__ $$z9783319190624 000728103 035__ $$aSP(OCoLC)ocn913576128 000728103 035__ $$aSP(OCoLC)913576128 000728103 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dN$T$$dIDEBK$$dAZU$$dYDXCP 000728103 049__ $$aISEA 000728103 050_4 $$aB809.13 000728103 08204 $$a149$$223 000728103 1001_ $$aClerbout, Nicolas,$$eauthor. 000728103 24510 $$aLinking game-theoretical approaches with constructive type theory$$h[electronic resource] :$$bdialogical strategies, CTT demonstrations and the axiom of choice /$$cNicolas Clerbout, Shahid Rahman. 000728103 264_1 $$aCham :$$bSpringer,$$c2015. 000728103 300__ $$a1 online resource (xix, 99 pages) :$$billustrations. 000728103 336__ $$atext$$btxt$$2rdacontent 000728103 337__ $$acomputer$$bc$$2rdamedia 000728103 338__ $$aonline resource$$bcr$$2rdacarrier 000728103 4901_ $$aSpringerBriefs in philosophy,$$x2211-4548 000728103 504__ $$aIncludes bibliographical references. 000728103 5050_ $$aChapter 1. Brief Reminder of Constructive Type Theory -- Chapter 2. Dialogues with Play-Objects -- Chapter 3. From dialogical strategies to CTT demonstrations -- Chapter 4. The dialogical take on the Axiom of Choice, and its translation into CTT -- Chapter 5. Building a winning P-strategy out of a CTT demonstration -- Chapter 6. Conclusions and Work in Progress. . 000728103 506__ $$aAccess limited to authorized users. 000728103 520__ $$aThis title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work's subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT). The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work. 000728103 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 15, 2015). 000728103 650_0 $$aConstructivism (Philosophy) 000728103 650_0 $$aGame theory. 000728103 650_0 $$aAxiom of choice. 000728103 7001_ $$aRahman, Shahid,$$d1956-$$eauthor. 000728103 830_0 $$aSpringerBriefs in philosophy. 000728103 852__ $$bebk 000728103 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-19063-1$$zOnline Access$$91397441.1 000728103 909CO $$ooai:library.usi.edu:728103$$pGLOBAL_SET 000728103 980__ $$aEBOOK 000728103 980__ $$aBIB 000728103 982__ $$aEbook 000728103 983__ $$aOnline 000728103 994__ $$a92$$bISE