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What is Negation?

  • Book
  • © 1999

Overview

Editors:
  1. Dov M. Gabbay

    1. King’s College, London, UK

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    You can also search for this editor in PubMed   Google Scholar

  2. Heinrich Wansing

    1. University of Leipzig, Leipzig, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Applied Logic Series (APLS, volume 13)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xi
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  3. Paraconsistency, Partiality and Logic Programming

    1. Front Matter

      Pages 87-87
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    2. Negation and Contradiction

      • Dov Gabbay, Anthony Hunter
      Pages 89-100

    3. What Not? A Defence of Dialetheic Theory of Negation

      • Graham Priest
      Pages 101-120

    4. Partial Logics with Two Kinds of Negation as a Foundation for Knowledge-Based Reasoning

      • Heinrich Herre, Jan Jaspars, Gerd Wagner
      Pages 121-159

    5. From Here to There: Stable Negation in Logic Programming

      • David Pearce
      Pages 161-181

  4. Absurdity, Falsity and Refutability

    1. Front Matter

      Pages 183-183
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    2. Antirealism and Falsity

      • Michael Hand
      Pages 185-198

    3. Negation, Absurdity and Contrariety

      • Neil Tennant
      Pages 199-222

    4. Negation As Falsity: A Reply to Tennant

      • Heinrich Wansing
      Pages 223-238

  5. Negations, Natural Language and the Liar

    1. Front Matter

      Pages 239-239
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    2. Models for Non-Boolean Negations in Natural Languages Based on Aspect Analysis

      • M. La Palme Reyes, J. Macnamara, G. E. Reyes, H. Zolfaghari
      Pages 241-260

    3. Negation, Denial and Language Change in Philosophical Logic

      • Jamie Tappenden
      Pages 261-298

    4. What is That Item Designated Negation?

      • Richard Sylvan
      Pages 299-324

  6. Back Matter

    Pages 325-335
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Keywords

About this book

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.

Editors and Affiliations

  • King’s College, London, UK

    Dov M. Gabbay

  • University of Leipzig, Leipzig, Germany

    Heinrich Wansing

Bibliographic Information

  • Book Title: What is Negation?

  • Editors: Dov M. Gabbay, Heinrich Wansing

  • Series Title: Applied Logic Series

  • DOI: https://doi.org/10.1007/978-94-015-9309-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 1999

  • Hardcover ISBN: 978-0-7923-5569-4Published: 31 March 1999

  • Softcover ISBN: 978-90-481-5169-1Published: 15 December 2010

  • eBook ISBN: 978-94-015-9309-0Published: 29 June 2013

  • Series ISSN: 1386-2790

  • Edition Number: 1

  • Number of Pages: XI, 335

  • Topics: Logic, Artificial Intelligence, Philosophy of Language

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