Linking Game-Theoretical Approaches with Constructive Type Theory Dialogical Strategies, CTT demonstrations and the Axiom of Choice /

• Main Authors: Clerbout, Nicolas (Author), Rahman, Shahid (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Philosophy,
• Subjects: Philosophy.; Logic.; Mathematical logic.; Game theory.; Mathematical Logic and Formal Languages.; Game Theory, Economics, Social and Behav. Sciences.

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 restr...

Table of Contents:

• 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.  .