This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics).In addition, the book discusses a broad range ...

The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The papers cover vastly dierent topics, but each fall in the intersection of the three primary topics of ESSLLI: Logic, Language and Computation.The 14 papers presented in this volume have been selected among 24 papers presented by talks or posters at the Student Sessions of the 30th edition o...

This Element situates epistemic game theory at the intersection of decision theory, game theory, and interactive epistemology. It provides an overview and a critical assessment of some of the most classical results and contributions in the field: the epistemic characterization of Nash equilibrium, the epistemic interpretation of mixed actions, rationalizability in static games, and sub-game perfect equilibrium in dynamic games. The book furthermore discusses more recent contributions that ...

Games, Norms, and Reasons: Logic at the Crossroads provides an overview of modern logic focusing on its relationships with other disciplines, including new interfaces with rational choice theory, epistemology, game theory and informatics. This book continues a series called "Logic at the Crossroads" whose title reflects a view that the deep insights from the classical phase of mathematical logic can form a harmonious mixture with a new, more ambitious research agenda of understand...

How does human language work? How do we put ideas into words that others can understand? Can linguistics shed light on the way the brain operates? Foundations of Language puts linguistics back at the centre of the search to understand human consciousness. Ray Jackendoff begins by surveying the developments in linguistics over the years since Noam Chomsky's Aspects of the Theory of Syntax. He goes on to propose a radical re-conception of how the brain processes language. T...

This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition.Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, stu...

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophe...

This book explores how and in what ways the relationship between language, mind and computation can be conceived of, given that a number of foundational assumptions about this relationship remain unacknowledged in mainstream linguistic theory, yet continue to be the basis of theoretical developments and empirical advances.

The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. - Completely revised and updated - i...

A proposal that the biolinguistic approach to human languages may have identified, beyond the study of language, a specific structure of the human mind.The contemporary discipline of biolinguistics is beginning to have the feel of scientific inquiry. Biolinguistics—especially the work of Noam Chomsky—suggests that the design of language may be “perfect”: language is an optimal solution to conditions of sound and meaning. What is the scope of this inquiry? Which asp...

This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate logic. The book presents a wide range of applications of two well-known approaches in current rese...

This book argues that languages are composed of sets of ‘signs’, rather than ‘strings’. This notion, first posited by de Saussure in the early 20th century, has for decades been neglected by linguists, particularly following Chomsky’s heavy critiques of the 1950s. Yet since the emergence of formal semantics in the 1970s, the issue of compositionality has gained traction in the theoretical debate, becoming a selling point for linguistic theories.Yet the concept of ‘compositionality’...