This volume presents mathematical game theory as an interface between logic and philosophy. It provides a discussion of various aspects of this interaction, covering new technical results and examining the philosophical insights that these have yielded. Organized in four sections it offers a balance
Logic, Language and Games
β Scribed by Gabriel Sandu
- Publisher
- The Philosophical Society of Finland
- Year
- 2015
- Tongue
- English
- Leaves
- 152
- Series
- Acta Philosophica Fennica 91
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 Sanduβs 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.
β¦ Table of Contents
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
π SIMILAR VOLUMES
OndrejMajer,Ahti-VeikkoPietarinen,andTeroTulenheimo 1 Games and logic in philosophy Recent years have witnessed a growing interest in the unifying methodologies over what have been perceived as pretty disparate logical βsystemsβ, or else merely an assortment of formal and mathematical βapproachesβ t
This book provides an introduction to modern work in the field of analytic philosophy, a field primarily concerned with the investigation of language and the analysis of mind. Using the example of the proper name, McCulloch gives a clear explanation of the seminal logical theories of Gottlob Frege,
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