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Elements of Formal Semantics
Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.
Flexibility Principles in Boolean Semantics
An investigation of the logical flexibility principles needed for a formal semantic account of coordination, plurality, and scope in natural language. Since the early work of Montague, Boolean semantics and its subfield of generalized quantifier theory have become the model-theoretic foundation for the study of meaning in natural languages. This book uses this framework to develop a new semantic theory of central linguistic phenomena involving coordination, plurality, and scope. The proposed theory makes use of the standard Boolean interpretation of conjunction, a choice-function account of indefinites, and a novel semantics of plurals that is not based on the distributive/collective distinc...
Compositionality and Concepts in Linguistics and Psychology
By highlighting relations between experimental and theoretical work, this volume explores new ways of addressing one of the central challenges in the study of language and cognition. The articles bring together work by leading scholars and younger researchers in psychology, linguistics and philosophy. An introductory chapter lays out the background on concept composition, a problem that is stimulating much new research in cognitive science. Researchers in this interdisciplinary domain aim to explain how meanings of complex expressions are derived from simple lexical concepts and to show how these meanings connect to concept representations. Traditionally, much of the work on concept composition has been carried out within separate disciplines, where cognitive psychologists have concentrated on concept representations, and linguists and philosophers have focused on the meaning and use of logical operators. This volume demonstrates an important change in this situation, where convergence points between these three disciplines in cognitive science are emerging and are leading to new findings and theoretical insights. This book is open access under a CC BY license.
Cardinals
An argument that complex cardinals are not extra-linguistic but built using standard syntax and standard principles of semantic composition. In Cardinals, Tania Ionin and Ora Matushansky offer a semantic and syntactic analysis of nominal expressions containing complex cardinals (for example, two hundred and thirty-five books). They show that complex cardinals are not an extra-linguistic phenomenon (as is often assumed) but built using standard syntax and standard principles of semantic composition. Complex cardinals can tell us as much about syntactic structure and semantic composition as other linguistic expressions. Ionin and Matushansky show that their analysis accounts for the internal c...
Taking Scope
A novel view of the syntax and semantics of quantifier scope that argues for a "combinatory" theory of natural language syntax. In Taking Scope, Mark Steedman considers the syntax and semantics of quantifier scope in interaction with negation, polarity, coordination, and pronominal binding, among other constructions. The semantics is "surface compositional," in that there is a direct correspondence between syntactic types and operations of composition and types and compositions at the level of logical form. In that sense, the semantics is in the "natural logic" tradition of Aristotle, Leibniz, Frege, Russell, and others who sought to define a psychologically real logic directly reflecting na...
Reference and Anaphoric Relations
This book is a collection of original research articles on the representation and in terpretation of indefinite and definite noun phrases, anaphoric pronouns, and closely related issues such as reference, scope and quantifier movement. A variety of frame works for the formal analysis of discourse semantics are represented, including dis course representation theory, file change semantics, dynamic Logic, E-type theories, and choice function approaches, which was one of the main issues the Konstanz project were concerned with. All of these frameworks are couched in the tradition of Montague Grammar, even though they extend the classical formalism in different directions. The developments emerg...
The Handbook of Contemporary Semantic Theory
The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work
