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Introduction to Montague Semantics

Introduction to Montague Semantics
Author: D. R. Dowty
Publisher: Springer Science & Business Media
Total Pages: 326
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400990650

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In this book we hope to acquaint the reader with the fundamentals of truth conditional model-theoretic semantics, and in particular with a version of this developed by Richard Montague in a series of papers published during the 1960's and early 1970's. In many ways the paper 'The Proper Treatment of Quantification in Ordinary English' (commonly abbreviated PTQ) represents the culmination of Montague's efforts to apply the techniques developed within mathematical logic to the semantics of natural languages, and indeed it is the system outlined there that people generally have in mind when they refer to "Montague Grammar". (We prefer the term "Montague Semantics" inasmuch as a grammar, as conceived of in current linguistics, would contain at least a phonological component, a morphological component, and other subsystems which are either lacking entirely or present only in a very rudi mentary state in the PTQ system. ) Montague's work has attracted increasing attention in recent years among linguists and philosophers since it offers the hope that semantics can be characterized with the same formal rigor and explicitness that transformational approaches have brought to syntax. Whether this hope can be fully realized remains to be seen, but it is clear nonetheless that Montague semantics has already established itself as a productive para digm, leading to new areas of inquiry and suggesting new ways of conceiving of theories of natural language. Unfortunately, Montague's papers are tersely written and very difficult to follow unless one has a considerable background in logical semantics.


Formal Semantics

Formal Semantics
Author: Ronnie Cann
Publisher: Cambridge University Press
Total Pages: 2
Release: 1992
Genre: Semantics
ISBN:

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Knowledge of Meaning

Knowledge of Meaning
Author: Richard K. Larson
Publisher: Bradford Book
Total Pages: 639
Release: 1995
Genre: Language Arts & Disciplines
ISBN: 9780262621007

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Current textbooks in formal semantics are all versions of, or introductions to, the same paradigm in semantic theory: Montague Grammar. Knowledge of Meaning is based on different assumptions and a different history. It provides the only introduction to truth- theoretic semantics for natural languages, fully integrating semantic theory into the modern Chomskyan program in linguistic theory and connecting linguistic semantics to research elsewhere in cognitive psychology and philosophy. As such, it better fits into a modern graduate or undergraduate program in linguistics, cognitive science, or philosophy. Furthermore, since the technical tools it employs are much simpler to teach and to master, Knowledge of Meaning can be taught by someone who is not primarily a semanticist. Linguistic semantics cannot be studied as a stand-alone subject but only as part of cognitive psychology, the authors assert. It is the study of a particular human cognitive competence governing the meanings of words and phrases. Larson and Segal argue that speakers have unconscious knowledge of the semantic rules of their language, and they present concrete, empirically motivated proposals about a formal theory of this competence based on the work of Alfred Tarski and Donald Davidson. The theory is extended to a wide range of constructions occurring in natural language, including predicates, proper nouns, pronouns and demonstratives, quantifiers, definite descriptions, anaphoric expressions, clausal complements, and adverbs. Knowledge of Meaning gives equal weight to philosophical, empirical, and formal discussions. It addresses not only the empirical issues of linguistic semantics but also its fundamental conceptual questions, including the relation of truth to meaning and the methodology of semantic theorizing. Numerous exercises are included in the book.


Informal Lectures on Formal Semantics

Informal Lectures on Formal Semantics
Author: Emmon W. Bach
Publisher: SUNY Press
Total Pages: 164
Release: 1989-01-01
Genre: Language Arts & Disciplines
ISBN: 9780887067716

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This book is an introduction to the current developments in model-theoretic semantics, which has become an essential part of the work in theoretical linguistics over the last decade. The author examines the model structure of Montague's theory and then presents elaborations on this basic model that have been of particular importance in the last few years: generalized quantifiers, the introduction of more structure in the domain of individuals, properties as primitive elements in the model, situations and similar 'smaller' worldlike entities. Nothing is presupposed about knowledge of the mathematical and logical tools used in formal semantics, and Bach presents the informal with a minimum of formalism.


Word Meaning and Montague Grammar

Word Meaning and Montague Grammar
Author: D. R. Dowty
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400994737

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The most general goal of this book is to propose and illustrate a program of research in word semantics that combines some of the methodology and results in linguistic semantics, primarily that of the generative semantics school, with the rigorously formalized syntactic and semantic framework for the analysis of natural languages developed by Richard Montague and his associates, a framework in which truth and denotation with respect to a model are taken as the fundamental semantic notions. I hope to show, both from the linguist's and the philosopher's point of view, not only why this synthesis can be undertaken but also why it will be useful to pursue it. On the one hand, the linguists' decompositions of word meanings into more primitive parts are by themselves inherently incomplete, in that they deal only in distinctions in meaning without providing an account of what mean ings really are. Not only can these analyses be made complete by a model theoretic semantics, but also such an account of these analyses renders them more exact and more readily testable than they could ever be otherwise.


Type-Logical Semantics

Type-Logical Semantics
Author: Bob Carpenter
Publisher: MIT Press
Total Pages: 616
Release: 1998-07-24
Genre: Language Arts & Disciplines
ISBN: 9780262531498

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Based on an introductory course on natural-language semantics, this book provides an introduction to type-logical grammar and the range of linguistic phenomena that can be handled in categorial grammar. It also contains a great deal of original work on categorial grammar and its application to natural-language semantics. The author chose the type-logical categorial grammar as his grammatical basis because of its broad syntactic coverage and its strong linkage of syntax and semantics. Although its basic orientation is linguistic, the book should also be of interest to logicians and computer scientists seeking connections between logical systems and natural language. The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material. Topics covered include higher-order logic, applicative categorial grammar, the Lambek calculus, coordination and unbounded dependencies, quantifiers and scope, plurals, pronouns and dependency, modal logic, intensionality, and tense and aspect. The book contains more mathematical development than is usually found in texts on natural language; an appendix includes the basic mathematical concepts used throughout the book.


Elements of Formal Semantics

Elements of Formal Semantics
Author: Yoad Winter
Publisher: Edinburgh University Press
Total Pages: 272
Release: 2016-04-08
Genre: Language Arts & Disciplines
ISBN: 0748677771

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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.


Quantification and Syntactic Theory

Quantification and Syntactic Theory
Author: R. Cooper
Publisher: Springer Science & Business Media
Total Pages: 229
Release: 2013-03-09
Genre: Language Arts & Disciplines
ISBN: 9401569320

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The format of this book is unusual, especially for a book about linguistics. The book is meant primarily as a research monograph aimed at linguists who have some background in formal semantics, e. g. Montague Grammar. However, I have two other audiences in mind. Linguists who have little or no experience of formal semantics, but who have worked through a basic mathematics for linguists course (e. g. using Wall, 1972, or Partee, 1978), should, perhaps with the help of a sympathetic Montague gramma rian, be able to discover enough of how I have adapted some of the basic ideas in formal semantics to make the developments that I undertake in the rest of the book accessible. Logicians and computer scientists who know about model theoretic semantics and formal systems should be able to glean enough from Chapters I and II about linguistic concerns and techniques to be able to read the remainder of the book, again possibly with the help of a sympathetic Montague grammarian. However, readers should beware. Chapter II is not meant as a general introduction either to formal semantics or to linguistics and while much of the presentation there is going over ground that is already well covered in the literature, the particular formulation and the emphases are very much oriented to the developments to be undertaken later in the book.


The Semantic Variability of Absolute Constructions

The Semantic Variability of Absolute Constructions
Author: G.T. Stump
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400952775

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The goal of this book is to investigate the semantics of absolute constructions in English; specifically, my object is to provide an explanation for the semantic variability of such constructions. As has been widely noted in traditional grammatical studies of English, free adjuncts and absolute phrases have the ability to playa number of specific logical roles in the sentences in which they appear; yet, paradoxically, they lack any overt indication of their logical connection to the clause which they modify. How, then, is the logical function of an absolute construction determined? In attempting to answer this question, one must inevitably address a number of more general issues: Is the meaning assigned to a linguistic expression necessarily determined by linguistic rules, or can the grammar of a language in some cases simply underdetermine the interpretation of expressions? Are the truthconditions of a sentence ever sensitive to the inferences of language users? If so, then is it possible to maintain the validity of any really substantive version of the Compositionality Principle? These are, of course, issues of great inherent interest to anyone concerned with the formal syntax and semantics of natural language, with the philosophy of language, or with language processing. The descriptive framework assumed throughout is the semantic theory developed by Richard Montague (1970a, 1970b, 1973) and his followers. (For a very thorough introduction to Montague semantics, the reader may refer to Dowty, Wall and Peters (1981 ).