Quantifiers in Language and Logic

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Publisher : Oxford University Press
ISBN 13 : 019929125X
Total Pages : 549 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Quantifiers in Language and Logic by : Stanley Peters

Download or read book Quantifiers in Language and Logic written by Stanley Peters and published by Oxford University Press. This book was released on 2006-04-27 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basicknowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.

Generalized Quantifiers in Natural Language

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Publisher : Walter de Gruyter
ISBN 13 : 3110867907
Total Pages : 180 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Generalized Quantifiers in Natural Language by : Alice ter Meulen

Download or read book Generalized Quantifiers in Natural Language written by Alice ter Meulen and published by Walter de Gruyter. This book was released on 2013-09-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantifiers and Cognition: Logical and Computational Perspectives

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Publisher : Springer
ISBN 13 : 3319287494
Total Pages : 213 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantifiers and Cognition: Logical and Computational Perspectives by : Jakub Szymanik

Download or read book Quantifiers and Cognition: Logical and Computational Perspectives written by Jakub Szymanik and published by Springer. This book was released on 2016-02-19 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, studying the possible meanings and the inferential power of quantifier expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science.

Handbook of Quantifiers in Natural Language

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Publisher : Springer Science & Business Media
ISBN 13 : 9400726813
Total Pages : 973 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Handbook of Quantifiers in Natural Language by : Edward Keenan

Download or read book Handbook of Quantifiers in Natural Language written by Edward Keenan and published by Springer Science & Business Media. This book was released on 2012-03-28 with total page 973 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a strikingly diverse range of languages from 12 linguistic families, this handbook is based on responses to a questionnaire constructed by the editors. Focusing on the formation, distribution and semantic interpretation of quantificational expressions, the book explores 17 languages including German, Italian, Russian, Mandarin Chinese, Malagasy, Hebrew, Pima, Basque, and more. The language data sets enable detailed crosslinguistic comparison of numerous features. These include semantic classes of quantifiers (generalized existential, generalized universal, proportional, partitive), syntactically complex quantifiers (intensive modification, Boolean compounding, exception phrases) and several others such as quantifier scope ambiguities, quantifier float, and binary quantifiers. Its theory-independent content extends earlier work by Matthewson (2008) and Bach et al. (1995), making this handbook suitable for linguists, semanticians, philosophers of language and logicians alike.

Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers

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Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112420020
Total Pages : 224 pages
Book Rating : 4.1/5 (124 download)

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Book Synopsis Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers by : Jeroen Groenendijk

Download or read book Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers written by Jeroen Groenendijk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers".

Generalized Quantifiers

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Publisher : Springer Science & Business Media
ISBN 13 : 9400933819
Total Pages : 309 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Generalized Quantifiers by : Peter Gärdenfors

Download or read book Generalized Quantifiers written by Peter Gärdenfors and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some fifteen years ago, research on generalized quantifiers was con sidered to be a branch of mathematical logic, mainly carried out by mathematicians. Since then an increasing number of linguists and philosophers have become interested in exploring the relevance of general quantifiers for natural language as shown by the bibliography compiled for this volume. To a large extent, the new research has been inspired by Jon Barwise and Robin Cooper's path-breaking article "Generalized Quantifiers and Natural Language" from 1981. A concrete sign of this development was the workshop on this topic at Lund University, May 9-11, 1985, which was organized by Robin Cooper, Elisabet Engdahl, and the present editor. All except two of the papers in this volume derive from that workshop. Jon Barwise's paper in the volume is different from the one he presented in connection with the workshop. Mats Rooth's contribution has been added because of its close relationship with the rest of the papers. The articles have been revised for publication here and the authors have commented on each other's contributions in order to integrate the collection. The organizers of the workshop gratefully acknowledge support from the Department of Linguistics, the Department of Philosophy and the Faculty of Humanities at Lund University, the Royal Swedish Academy of Sciences (through the Wallenberg Foundation), the Swedish Institute, and the Letterstedt Foundation.

Intermediate Quantities

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Publisher : Routledge
ISBN 13 : 1000160440
Total Pages : 270 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Intermediate Quantities by : Philip Peterson

Download or read book Intermediate Quantities written by Philip Peterson and published by Routledge. This book was released on 2020-07-24 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

Interactions of Degree and Quantification

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Publisher : BRILL
ISBN 13 : 9004431519
Total Pages : 396 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Interactions of Degree and Quantification by :

Download or read book Interactions of Degree and Quantification written by and published by BRILL. This book was released on 2020-06-29 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactions of Degree and Quantification examines connections and semantic parallels between individual and degree quantifiers in the expression of quantity and measurement in human language.

Quantification in Natural Languages

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Publisher : Springer Science & Business Media
ISBN 13 : 9401728178
Total Pages : 760 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Quantification in Natural Languages by : Emmon Bach

Download or read book Quantification in Natural Languages written by Emmon Bach and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of papers grew out of a research project on "Cross-Linguistic Quantification" originated by Emmon Bach, Angelika Kratzer and Barbara Partee in 1987 at the University of Massachusetts at Amherst, and supported by National Science Foundation Grant BNS 871999. The publication also reflects directly or indirectly several other related activ ities. Bach, Kratzer, and Partee organized a two-evening symposium on cross-linguistic quantification at the 1988 Annual Meeting of the Linguistic Society of America in New Orleans (held without financial support) in order to bring the project to the attention of the linguistic community and solicit ideas and feedback from colleagues who might share our concern for developing a broader typological basis for research in semantics and a better integration of descriptive and theoretical work in the area of quantification in particular. The same trio organized a six-week workshop and open lecture series and related one-day confer ence on the same topic at the 1989 LSA Linguistic Institute at the University of Arizona in Tucson, supported by a supplementary grant, NSF grant BNS-8811250, and Partee offered a seminar on the same topic as part of the Institute course offerings. Eloise Jelinek, who served as a consultant on the principal grant and was a participant in the LSA symposium and the Arizona workshops, joined the group of editors for this volume in 1989.

Mathematical Methods in Linguistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027722454
Total Pages : 692 pages
Book Rating : 4.7/5 (224 download)

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Book Synopsis Mathematical Methods in Linguistics by : Barbara B.H. Partee

Download or read book Mathematical Methods in Linguistics written by Barbara B.H. Partee and published by Springer Science & Business Media. This book was released on 1990-04-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.

Semantics: Generalized quantifiers and scope

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Publisher : Taylor & Francis
ISBN 13 : 9780415266345
Total Pages : 354 pages
Book Rating : 4.2/5 (663 download)

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Book Synopsis Semantics: Generalized quantifiers and scope by : Javier Gutiérrez-Rexach

Download or read book Semantics: Generalized quantifiers and scope written by Javier Gutiérrez-Rexach and published by Taylor & Francis. This book was released on 2003 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mass Terms: Some Philosophical Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027709318
Total Pages : 326 pages
Book Rating : 4.7/5 (93 download)

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Book Synopsis Mass Terms: Some Philosophical Problems by : Francis Jeffrey Pelletier

Download or read book Mass Terms: Some Philosophical Problems written by Francis Jeffrey Pelletier and published by Springer Science & Business Media. This book was released on 1979-03-31 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. MASS TERMS, COUNT TERMS, AND SORTAL TERMS Central examples of mass terms are easy to come by. 'Water', 'smoke', 'gold', etc. , differ in their syntactic, semantic, and pragmatic properties from count terms such as 'man', 'star', 'wastebasket', etc. Syntactically, it seems, mass terms do, but singular count terms do not, admit the quantifier phrases 'much', 'an amount of', 'a little', etc. The typical indefinite article for them is 'some' (unstressed)!, and this article cannot be used with singular count terms. Count terms, but not mass terms, use the quantifiers 'each', 'every', 'some', 'few', 'many'; and they use 'a(n)' as the indefinite article. They can, unlike the mass terms, take numerals as prefixes. Mass terms seem not to have a plural. Semantically, philo sophers have characterized count terms as denoting (classes of?) indi vidual objects, whereas what mass terms denote are cumulative and dissective. (That is, a mass term is supposed to be true of any sum of things (stuff) it is true of, and true of any part of anything of which it is true). Pragmatically, it seems that speakers use count terms when they wish to refer to individual objects, or when they wish to reidentify a particular already introduced into discoursc. Given a "space appropriate" to a count term C, it makes sense to ask how many C's there are in that space.

Meaning, Use, and Interpretation of Language

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Publisher : Walter de Gruyter
ISBN 13 : 3110852829
Total Pages : 500 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Meaning, Use, and Interpretation of Language by : Rainer Bäuerle

Download or read book Meaning, Use, and Interpretation of Language written by Rainer Bäuerle and published by Walter de Gruyter. This book was released on 2012-02-13 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Communicating Quantities

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Publisher : Taylor & Francis
ISBN 13 : 100093067X
Total Pages : 129 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Communicating Quantities by : Linda M. Moxey

Download or read book Communicating Quantities written by Linda M. Moxey and published by Taylor & Francis. This book was released on 2023-05-26 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day, in many situations, we use expressions which seem to provide us with only vague information. The weather forecaster tells us that "some showers are likely in Northern regions during the night", a statement which is vague with respect to number of showers, location, and time. Yet such messages are informative, and often it is not possible for the producer of the message to be more precise. A tutor tells his students that "only a few students fail their exams outright". This does not give a precise incidence. Yet it might be equally misleading to do so. For example, to say that twelve percent failed outright last year says nothing about other years, while to say an average of eight percent over the last five years says nothing about variability. We argue that a precise, numerical statement can be sometimes more misleading in reality than a vague statement. Many researchers in psychology have attempted to capture the meaning of quantities by relating them to scales of quantity. Originally published in 1993, the book explores this idea in detail and shows with original studies how these expressions also serve to control attention and to convey information about the expectations held by those involved in the communication. The book works towards a psychological theory of the meaning of quantifiers and similarly vague terms. New links are drawn between formal theories of quantification and psychological experimentation.

Andrzej Mostowski and Foundational Studies

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Publisher : IOS Press
ISBN 13 : 158603782X
Total Pages : 460 pages
Book Rating : 4.5/5 (86 download)

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Book Synopsis Andrzej Mostowski and Foundational Studies by : Andrzej Mostowski

Download or read book Andrzej Mostowski and Foundational Studies written by Andrzej Mostowski and published by IOS Press. This book was released on 2008 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrzej Mostowski was one of the leading 20th century logicians. This volume examines his legacy, devoted both to his scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. It includes the bibliography of Mostowski's writings.

Something out of Nothing: The Semantics and Pragmatics of Implicit Quantification

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Publisher : BRILL
ISBN 13 : 9004432590
Total Pages : 183 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Something out of Nothing: The Semantics and Pragmatics of Implicit Quantification by : Ariel Cohen

Download or read book Something out of Nothing: The Semantics and Pragmatics of Implicit Quantification written by Ariel Cohen and published by BRILL. This book was released on 2020-06-29 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Ariel Cohen makes the novel proposal that an implicit quantifier isn’t simply an empty category, but is generated by well-defined reinterpretation mechanisms. He demonstrates how this theory naturally accounts for puzzling properties of implicit quantification.

Plurality and Quantification

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Publisher : Boom Koninklijke Uitgevers
ISBN 13 : 9780792348412
Total Pages : 400 pages
Book Rating : 4.3/5 (484 download)

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Book Synopsis Plurality and Quantification by : F. Hamm

Download or read book Plurality and Quantification written by F. Hamm and published by Boom Koninklijke Uitgevers. This book was released on 1998 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eight papers collected in Plurality and Quantification address three central issues in the study of plurality and quantification in natural languages. The first major theme regards algebraic approaches to plurals and quantification that have emerged as the leading paradigm for the study of these empirical phenomena over the last decade. The second main issue concerns the philosophical and mathematical foundations of concepts such as distributivity and collectivity. Finally, the authors address a broad range of empirical phenomena in Germanic and Romance languages, including the influence of Aktionsart on plural noun phrases, negative polarity, mass terms, plural quantification, and noun phrase conjunction. Many of the papers shed new light on the question of how many readings have to be assigned to plural sentences and on the respective consequences for the architecture of the syntax-semantics interface. Furthermore, most of the contributions contain insights which bear upon the study of the structure of universal grammar. Audience: Plurality and Quantification will interest linguists, graduate students in semantics and syntax, philosophers of language and philosophical logicians interested in the semantics of natural language.