This unique volume presents mathematical game theory as an interface between logic and philosophy. It provides a discussion of various aspects of this interaction, covers new technical results and examines the philosophical insights that these have yielded.

The first book to collect multidisciplinary research on game-theoretic methods in logic, language and philosophy

Philosophical Issues.- Why Play Logical Games?.- On The Narrow Epistemology of Game-Theoretic Agents.- Interpretation, Coordination and Conformity.- Fallacies as Cognitive Virtues.- Game-Theoretic Semantics.- A Strategic Perspective on if Games.- Towards Evaluation Games for Fuzzy Logics.- Games, Quantification and Discourse Structure.- Dialogues.- From Games to Dialogues and Back.- Revisiting Giles's Game.- Implicit Versus Explicit Knowledge in Dialogical Logic.- Computation and Mathematics.- In the Beginning was Game Semantics?.- The Problem of Determinacy of Infinite Games from an Intuitionistic Point of View.

OndrejMajer,Ahti-VeikkoPietarinen,andTeroTulenheimo 1 Games and logic in philosophy Recent years have witnessed a growing interest in the unifying methodo- gies over what have been perceived as pretty disparate logical 'systems', or else merely an assortment of formal and mathematical 'approaches' to phi- sophical inquiry. This development has largely been fueled by an increasing dissatisfaction to what has earlier been taken to be a straightforward outcome of 'logical pluralism' or 'methodological diversity'. These phrases appear to re ect the everyday chaos of our academic pursuits rather than any genuine attempt to clarify the general principles underlying the miscellaneous ways in which logic appears to us. But the situation is changing. Unity among plurality is emerging in c- temporary studies in logical philosophy and neighbouring disciplines. This is a necessary follow-up to the intensive research into the intricacies of logical systems and methodologies performed over the recent years. The present book suggests one such peculiar but very unrestrained meth- ological perspective over the eld of logic and its applications in mathematics, language or computation: games. An allegory for opposition, cooperation and coordination, games are also concrete objects of formal study.