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What is Negation?

Author: Dov M. Gabbay

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 337

ISBN-13: 9401593094

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The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.

Book Synopsis What is Negation? by : Dov M. Gabbay

Download or read book What is Negation? written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.

Constructive Negations and Paraconsistency

Author: Sergei Odintsov

Publisher: Springer Science & Business Media

Published: 2008-03-19

Total Pages: 241

ISBN-13: 1402068670

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Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.

Book Synopsis Constructive Negations and Paraconsistency by : Sergei Odintsov

Download or read book Constructive Negations and Paraconsistency written by Sergei Odintsov and published by Springer Science & Business Media. This book was released on 2008-03-19 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.

Negative Contexts

Author: Ton van der Wouden

Publisher: Routledge

Published: 2002-11

Total Pages: 314

ISBN-13: 1134773331

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Ton van der Wouden's account of negative contexts emphasizes pragmatic considerations, as well as semantic and syntactic ones.

Book Synopsis Negative Contexts by : Ton van der Wouden

Download or read book Negative Contexts written by Ton van der Wouden and published by Routledge. This book was released on 2002-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ton van der Wouden's account of negative contexts emphasizes pragmatic considerations, as well as semantic and syntactic ones.

The Oxford Handbook of Negation

Author: Viviane Déprez

Publisher: Oxford University Press, USA

Published: 2020-03-31

Total Pages: 889

ISBN-13: 0198830521

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In this volume, international experts in negation provide a comprehensive overview of cross-linguistic and philosophical research in the field, as well as accounts of more recent results from experimental linguistics, psycholinguistics, and neuroscience. The volume adopts an interdisciplinary approach to a range of fundamental questions ranging from why negation displays so many distinct linguistic forms to how prosody and gesture participate in the interpretation of negative utterances. Following an introduction from the editors, the chapters are arranged in eight parts that explore, respectively, the fundamentals of negation; issues in syntax; the syntax-semantics interface; semantics and pragmatics; negative dependencies; synchronic and diachronic variation; the emergence and acquisition of negation; and experimental investigations of negation. The volume will be an essential reference for students and researchers across a wide range of disciplines, and will facilitate further interdisciplinary work in the field.

Book Synopsis The Oxford Handbook of Negation by : Viviane Déprez

Download or read book The Oxford Handbook of Negation written by Viviane Déprez and published by Oxford University Press, USA. This book was released on 2020-03-31 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, international experts in negation provide a comprehensive overview of cross-linguistic and philosophical research in the field, as well as accounts of more recent results from experimental linguistics, psycholinguistics, and neuroscience. The volume adopts an interdisciplinary approach to a range of fundamental questions ranging from why negation displays so many distinct linguistic forms to how prosody and gesture participate in the interpretation of negative utterances. Following an introduction from the editors, the chapters are arranged in eight parts that explore, respectively, the fundamentals of negation; issues in syntax; the syntax-semantics interface; semantics and pragmatics; negative dependencies; synchronic and diachronic variation; the emergence and acquisition of negation; and experimental investigations of negation. The volume will be an essential reference for students and researchers across a wide range of disciplines, and will facilitate further interdisciplinary work in the field.

Negation

Author: Heinrich Wansing

Publisher: Perspektiven der Analytischen Philosophie / Perspectives in Analytical Philosophy

Published: 1996

Total Pages: 288

ISBN-13:

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No detailed description available for "Negation".

Book Synopsis Negation by : Heinrich Wansing

Download or read book Negation written by Heinrich Wansing and published by Perspektiven der Analytischen Philosophie / Perspectives in Analytical Philosophy. This book was released on 1996 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Negation".

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

Author: Gemma Robles

Publisher: Academic Press

Published: 2018-01-02

Total Pages: 158

ISBN-13: 0128045094

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Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. Provides a clear development of the fundamentals of RM-semantics in a new application Covers the most general research on ternary relational semantics Includes scrutiny of constructive negation from the ternary relational perspective

Book Synopsis Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations by : Gemma Robles

Download or read book Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations written by Gemma Robles and published by Academic Press. This book was released on 2018-01-02 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. Provides a clear development of the fundamentals of RM-semantics in a new application Covers the most general research on ternary relational semantics Includes scrutiny of constructive negation from the ternary relational perspective

Negation and Polarity: Experimental Perspectives

Author: Pierre Larrivée

Publisher: Springer

Published: 2015-07-28

Total Pages: 374

ISBN-13: 3319174649

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This volume offers insights on experimental and empirical research in theoretical linguistic issues of negation and polarity, focusing on how negation is marked and how negative polarity is emphatic and how it interacts with double negation. Metalinguistic negation and neg-raising are also explored in the volume. Leading specialists in the field present novel ideas by employing various experimental methods in felicity judgments, eye tracking, self-paced readings, prosody and ERP. Particular attention is given to extensive crosslinguistc data from French, Catalan and Korean along with analyses using semantic and pragmatic methods, corpus linguistics, diachronic perspectives and longitudinal acquisitional studies as well as signed and gestural negation. Each contribution is situated with regards to major previous studies, thereby offering readers insights on the current state of the art in research on negation and negative polarity, highlighting how theory and data together contributes to the understanding of cognition and mind.

Book Synopsis Negation and Polarity: Experimental Perspectives by : Pierre Larrivée

Download or read book Negation and Polarity: Experimental Perspectives written by Pierre Larrivée and published by Springer. This book was released on 2015-07-28 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers insights on experimental and empirical research in theoretical linguistic issues of negation and polarity, focusing on how negation is marked and how negative polarity is emphatic and how it interacts with double negation. Metalinguistic negation and neg-raising are also explored in the volume. Leading specialists in the field present novel ideas by employing various experimental methods in felicity judgments, eye tracking, self-paced readings, prosody and ERP. Particular attention is given to extensive crosslinguistc data from French, Catalan and Korean along with analyses using semantic and pragmatic methods, corpus linguistics, diachronic perspectives and longitudinal acquisitional studies as well as signed and gestural negation. Each contribution is situated with regards to major previous studies, thereby offering readers insights on the current state of the art in research on negation and negative polarity, highlighting how theory and data together contributes to the understanding of cognition and mind.

Daily Negations

Author: Barbara J. Lagowski

Publisher: Berkley Publishing Group

Published: 1996

Total Pages: 374

ISBN-13: 9780399519802

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Packed with cantankerous quotations and dire thoughts, this sourcebook offers 365 testy references, peevish observations, and reasons to be grumpy for the optimistically challenged. Original.

Book Synopsis Daily Negations by : Barbara J. Lagowski

Download or read book Daily Negations written by Barbara J. Lagowski and published by Berkley Publishing Group. This book was released on 1996 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with cantankerous quotations and dire thoughts, this sourcebook offers 365 testy references, peevish observations, and reasons to be grumpy for the optimistically challenged. Original.

The Syntax of Negation

Author: Liliane Haegeman

Publisher: Cambridge University Press

Published: 1995-03-30

Total Pages: 353

ISBN-13: 0521464927

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Demonstrates sentential negation within a Government and Binding framework, showing parallelism between negative and interrogative sentences.

Book Synopsis The Syntax of Negation by : Liliane Haegeman

Download or read book The Syntax of Negation written by Liliane Haegeman and published by Cambridge University Press. This book was released on 1995-03-30 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates sentential negation within a Government and Binding framework, showing parallelism between negative and interrogative sentences.

Derrida and Negative Theology

Author: Professor Harold Coward

Publisher: SUNY Press

Published: 1992-01-01

Total Pages: 356

ISBN-13: 9780791409633

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This book explores the thought of Jacques Derrida as it relates to the tradition of apophatic thought--negative theology and philosophy--in both Western and Eastern traditions. Following the Introduction by Toby Foshay, two of Derrida's essays on negative theology, Of an Apocalyptic Tone Newly Adopted in Philosophy and How to Avoid Speaking: Denials, are reprinted here. These are followed by essays from a Western perspective by Mark C. Taylor and Michel Despland, and essays from an Eastern perspective by David Loy, a Buddhist, and Harold Coward, a Hindu. In the Conclusion, Jacques Derrida responds to these discussions.

Book Synopsis Derrida and Negative Theology by : Professor Harold Coward

Download or read book Derrida and Negative Theology written by Professor Harold Coward and published by SUNY Press. This book was released on 1992-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the thought of Jacques Derrida as it relates to the tradition of apophatic thought--negative theology and philosophy--in both Western and Eastern traditions. Following the Introduction by Toby Foshay, two of Derrida's essays on negative theology, Of an Apocalyptic Tone Newly Adopted in Philosophy and How to Avoid Speaking: Denials, are reprinted here. These are followed by essays from a Western perspective by Mark C. Taylor and Michel Despland, and essays from an Eastern perspective by David Loy, a Buddhist, and Harold Coward, a Hindu. In the Conclusion, Jacques Derrida responds to these discussions.