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Logic, Language and Games

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The book, Logic, Language and Games offers a detailed introduction to game theory and its basic concepts, such as strategies, backward induction, Nash equilibrium, and then applies them to the study of logical and semantic notions like connectives, quantifiers, truth, and logical equivalence. The book also gives a game-theoretical introduction to Hintikka and Sandu’s Independence-Friendly Logic (IF) logic, a logical system with exceeds the expressive power of ordinary first-order logic. The present study systematizes results on the probabilistic interpretation of IF logic which have appeared in various publications with the overall goal of understanding rational and logical reasoning in its strategic aspects.

Author(s): Gabriel Sandu
Series: Acta Philosophica Fennica 91
Publisher: The Philosophical Society of Finland
Year: 2015

Language: English
Pages: 142

Cover
Title page
Contents
Introduction
1 Dependence and independence of quantifiers
2 Introduction to game theory
3 Strategic games
4 Mixed strategies
5 Signaling games
6 Game-theoretical semantics
7 Independence-friendly logic
8 Probabilistic IF logic
References
Back cover