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What is Negation? : Applied Logic Series - Dov M. Gabbay

What is Negation?

Applied Logic Series

By: Dov M. Gabbay (Editor), Heinrich Wansing (Editor)

Hardcover

Published: 31st March 1999
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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.

Preface
Models, Relevance and Impossibility
A Comparative Study of Various Model-Theoretic Treatments of Negation: A History of Formal Negation
Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley Star)
Negation in the Light of Modal Logic
Paraconsistency, Partiality and Logic Programming. Negation and Contradiction
What not? A Defence of Dialetheic Theory of Negation
Partial Logics with Two Kinds of Negation as a Foundation for Knowledge-Based Reasoning
From Here to There: Stable Negation in Logic Programming
Absurdity, Falsity and Refutability
Antirealism and Falsity
Negation, Absurdity and Contrariety
Negation as Falsity: A Reply to Tennant
Negations, Natural Language and The Liar. Models for Non-Boolean Negations in Natural Languages Based on Aspect Analysis
Negation, Denial and Language Change in Philosophical Logic
What is That Item Designated Negation?
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792355694
ISBN-10: 0792355695
Series: Applied Logic Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 335
Published: 31st March 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 15.88  x 2.54
Weight (kg): 0.67