The Logical Form of Quantification and Plurality in Natural Language

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Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (128 download)

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Book Synopsis The Logical Form of Quantification and Plurality in Natural Language by : Brendan Gillon

Download or read book The Logical Form of Quantification and Plurality in Natural Language written by Brendan Gillon and published by . This book was released on 1984 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic & Natural Language

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Publisher : Routledge
ISBN 13 : 1351921525
Total Pages : 160 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Logic & Natural Language by : Hanoch Ben-Yami

Download or read book Logic & Natural Language written by Hanoch Ben-Yami and published by Routledge. This book was released on 2019-09-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frege's invention of the predicate calculus has been the most influential event in the history of modern logic. The calculus’ place in logic is so central that many philosophers think, in fact, of it when they think of logic. This book challenges the position in contemporary logic and philosophy of language of the predicate calculus claiming that it is based on mistaken assumptions. Ben-Yami shows that the predicate calculus is different from natural language in its fundamental semantic characteristics, primarily in its treatment of reference and quantification, and that as a result the calculus is inadequate for the analysis of the semantics and logic of natural language. Ben-Yami develops both an alternative analysis of the semantics of natural language and an alternative deductive system comparable in its deductive power to first order predicate calculus but more adequate than it for the representation of the logic of natural language. Ben-Yami's book is a revolutionary challenge to classical first order predicate calculus, casting doubt on many of the central claims of modern logic.

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.

Plurality and Quantification

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Publisher : Springer Science & Business Media
ISBN 13 : 9401727066
Total Pages : 386 pages
Book Rating : 4.4/5 (17 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 Springer Science & Business Media. This book was released on 2013-03-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address central issues in the study of Plurality and Quantification from three different perspectives: • Algebraic approaches to Plurals and Quantification • Distributivity and Collectivity: Theoretical Foundations • Distributivity and Collectivity: Empirical Investigations Algebraic approaches to the semantics of natural languages were in dependently introduced for the study of generalized quantification, pred ication, intensionality, mass terms and plurality. The most prominent modern advocate for an algebraic theory of plurality (and mass terms) is certainly Godehard Link. It is indicative of the Wirkungsgeschichte of Link's work that most of the contributions in this volume take the logic of plurals proposed by Godehard Link (Link 1983, 1987) as their foundation or, at the very least, as their point of reference. Link's own paper in this volume provides a concise summary of many of the central research issues that have engaged semanticists during the last decade. Link's paper also contains an extensive bibliography that provides an excellent resource for scholars interested in the semantics of plurals. Since we can refer readers to Link's paper for an excellent survey of the subject matter of this book, we will limit our attention in this in troduction to summarizing the individual contributions in this volume. The book is organized into three main sections; within each section the papers are ordered alphabetically. However, as in much of linguistic the orizing, there is an exception: for reasons pointed out above, Godehard Link's article appears as Chapter 1.

Feature System for Quantification Structures in Natural Language

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112329627
Total Pages : 188 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Feature System for Quantification Structures in Natural Language by : Irena Bellert

Download or read book Feature System for Quantification Structures in Natural Language written by Irena Bellert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-10-26 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Feature System for Quantification Structures in Natural Language".

Plural Logic

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Publisher : Oxford University Press, USA
ISBN 13 : 0198744382
Total Pages : 399 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Plural Logic by : Alex Oliver

Download or read book Plural Logic written by Alex Oliver and published by Oxford University Press, USA. This book was released on 2016 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.

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.

Quantifiers in Language and Logic

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Publisher : OUP Oxford
ISBN 13 : 0191516236
Total Pages : 550 pages
Book Rating : 4.1/5 (915 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 OUP Oxford. This book was released on 2006-04-27 with total page 550 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, many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.

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.

Unity and Plurality

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Publisher : Oxford University Press
ISBN 13 : 019871632X
Total Pages : 276 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Unity and Plurality by : Massimiliano Carrara

Download or read book Unity and Plurality written by Massimiliano Carrara and published by Oxford University Press. This book was released on 2016 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals in natural language. Plural reference, the view that definite plurals such as 'the students' refer to several entities at once (the individual students), is an approach favoured by logicians and philosophers, who take sentences with plurals ('the students gathered') not to be committed to entities beyond individuals, entities such as classes, sums, or sets. By contrast, linguistic semantics has been dominated by a singularist approach to plurals, taking the semantic value of a definite plural such as 'the students' to be a mereological sum or set. Moreover, semantics has been dominated by a particular ontological view of plurality, that of extensional mereology. This volume aims to build a bridge between the two traditions and to show the fruitfulness of nonstandard mereological approaches. A team of leading experts investigates new perspectives that arise from plural logic and non-standard mereology and explore novel applications to natural language phenomena.

Logical Form and Language

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Publisher : Oxford University Press
ISBN 13 : 9780199245550
Total Pages : 534 pages
Book Rating : 4.2/5 (455 download)

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Book Synopsis Logical Form and Language by : Gerhard Preyer

Download or read book Logical Form and Language written by Gerhard Preyer and published by Oxford University Press. This book was released on 2002 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the central issues of analytic philosophy and especially the theory of language is the concept of logical form. As typically understood this concept covers investigations into universal logical features underlying languages. However, from Frege and Russell onwards logical form analysts were no longer confined to such narrow linguistic perspectives. For them, investigating the logical form of language took the wider philosophical perspective of trying to understand language as our principal means for representing the world. From Russell's theory of definite descriptions to Davidson's truth-theoretical analyses of adverbial modification, citation, and reported speech, to lay open the logical structures underlying language is seen as a way of revealing the structure and features of the thereby represented world. Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology. Logical Form and Language brings together exciting new contributions from diverse points of view, which illuminate the lively current debate about this topic.

Minimalist Syntax for Quantifier Raising, Topicalization and Focus Movement: A Search and Float Approach for Internal Merge

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Publisher : Springer
ISBN 13 : 3319473042
Total Pages : 246 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Minimalist Syntax for Quantifier Raising, Topicalization and Focus Movement: A Search and Float Approach for Internal Merge by : Jun Abe

Download or read book Minimalist Syntax for Quantifier Raising, Topicalization and Focus Movement: A Search and Float Approach for Internal Merge written by Jun Abe and published by Springer. This book was released on 2016-10-21 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines how the displacement property of language is characterized in formal terms under the Minimalist Program and to what extent this proposed characterization of it can explain relevant displacement properties. The birth of the Principles and Parameters Approach makes it possible to simplify transformational rules so radically as to be reduced to the single rule Move. The author proposes that Move, as conceived as a special case of Merge, named internal Merge, under the Minimalist Program requires two prerequisite operations: one is to “dig” into a structure to find a target of Merge, called Search, and the other is to make this target reach the top of the structure, called Float. The author argues that these two different operations are constrained by “minimal computation.” Due to the nature of how they apply, these operations are constrained by this economy condition in such a way that Search must be minimal and Float obeys Minimize chain links, which requires that this operation cannot skip possible landing sites. The author demonstrates that this mechanism of minimal Search and Float deals with a variety of phenomena that involve quantifier raising, such as rigidity effects of scope interaction, the availability of cumulative readings of plural relation sentences and pair-list readings of multiple wh-questions. Also demonstrated in this volume is that the same mechanism properly captures the locality effects of topicalization, focus movement, and ellipsis with contrastive focus.

Cardinals

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Publisher : MIT Press
ISBN 13 : 0262535785
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Cardinals by : Tania Ionin

Download or read book Cardinals written by Tania Ionin and published by MIT Press. This book was released on 2018-12-11 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 composition of cardinal-containing constructions cross-linguistically, providing examples from more than fifteen languages. They demonstrate that their proposal is compatible with a variety of related phenomena, including modified numerals, measure nouns, and fractions. Ionin and Matushansky show that a semantic or syntactic account that captures the behavior of a simplex cardinal (such as five) does not automatically transfer to a complex cardinal (such as five thousand and forty-six) and propose a compositional analysis of complex cardinals. They consider the lexical categories of simplex cardinals and their role in the construction of complex cardinals; examine in detail the numeral systems of selected languages, including Slavic and Semitic languages; discuss linguistic constructions that contain cardinals; address extra-linguistic conventions on the construction of complex cardinals; and, drawing on data from Modern Hebrew, Basque, Russian, and Dutch, show that modified numerals and partitives are compatible with their analysis.

Plurals and Events

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Publisher : MIT Press
ISBN 13 : 9780262193344
Total Pages : 412 pages
Book Rating : 4.1/5 (933 download)

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Book Synopsis Plurals and Events by : Barry Schein

Download or read book Plurals and Events written by Barry Schein and published by MIT Press. This book was released on 1993 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Barry Schein proposes combining a second-order treatment of plurals with Donald Davidson's suggestion that there are positions for reference to events in ordinary predicates in order to account for several of the more puzzling features of plurals without invoking plural objects, with its attendant metaphysics, and also provide an absolute truth-theoretic characterization of the semantics of sentences with plurals in them. How do we make sense of sentences with plural noun phrases in them? In Plurals and Events, Barry Schein proposes combining a second-order treatment of plurals with Donald Davidson's suggestion that there are positions for reference to events in ordinary predicates in order to account for several of the more puzzling features of plurals without invoking plural objects, with its attendant metaphysics, and also provide an absolute truth-theoretic characterization of the semantics of sentences with plurals in them. Schein's highly original argument should have significant impact on how natural-language semantics is done, with repercussions for philosophy and logic. The book opens with foundational arguments that the logical language should have four major features: reduction to singular predication via a Davidsonian logical form, amereology of events, a logical syntax that allows the constituents of a Davidsonian analysis to be predicated of distinct events and separated from one another by other logical elements, and descriptive anaphors that cross-refer to the events described by antecedent clauses. A semantics for plurality and quantification is developed in the remaining chapters, which address some of the empirical and formal questions raised by the variety of interpretations in which plurals and quantifiers participate.

Aspects of Quantification in Natural Language

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Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Aspects of Quantification in Natural Language by : Dingeman Johannes Norbertus van Eijck

Download or read book Aspects of Quantification in Natural Language written by Dingeman Johannes Norbertus van Eijck and published by . This book was released on 1985 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lexical Meaning in Context

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Publisher : Cambridge University Press
ISBN 13 : 1139501313
Total Pages : 345 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Lexical Meaning in Context by : Nicholas Asher

Download or read book Lexical Meaning in Context written by Nicholas Asher and published by Cambridge University Press. This book was released on 2011-03-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the meanings of words and how they can combine to form larger meaningful units, as well as how they can fail to combine when the amalgamation of a predicate and argument would produce what the philosopher Gilbert Ryle called a 'category mistake'. It argues for a theory in which words get assigned both an intension and a type. The book develops a rich system of types and investigates its philosophical and formal implications, for example the abandonment of the classic Church analysis of types that has been used by linguists since Montague. The author integrates fascinating and puzzling observations about lexical meaning into a compositional semantic framework. Adjustments in types are a feature of the compositional process and account for various phenomena including coercion and copredication. This book will be of interest to semanticists, philosophers, logicians and computer scientists alike.

Knowledge Representation and Defeasible Reasoning

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Publisher : Springer Science & Business Media
ISBN 13 : 940090553X
Total Pages : 432 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Knowledge Representation and Defeasible Reasoning by : Henry E. Kyburg Jr.

Download or read book Knowledge Representation and Defeasible Reasoning written by Henry E. Kyburg Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series will include monographs and collections of studies devoted to the investigation and exploration of knowledge, information, and data processing systems of all kinds, no matter whether human, (other) ani mal, or machine. Its scope is intended to span the full range of interests from classical problems in the philosophy of mind and philosophical psy chology through issues in cognitive psychology and sociobiology (concerning the mental capabilities of other species) to ideas related to artificial intelli gence and computer science. While primary emphasis will be placed upon theoretical, conceptual, and epistemological aspects of these problems and domains, empirical, experimental, and methodological studies will also ap pear from time to time. The present volume provides a collection of studies that focus on some of the central problems within the domain of artificial intelligence. These difficulties fall into four principal areas: defeasible reasoning (including the frame problem as apart), ordinary language (and the representation prob lems that it generates), the revision of beliefs (and its rules of inference), and knowledge representation (and the logical problems that are encountered there). These papers make original contributions to each of these areas of inquiry and should be of special interest to those who understand the crucial role that is played by questions of logical form. They vividly illustrate the benefits that can emerge from collaborative efforts involving scholars from linguistics, philosophy, computer science, and AI. J. H. F.