What is Negation? / Edition 1by Dov M. Gabbay
Pub. Date: 03/31/1999
Publisher: Springer Netherlands
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
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 have therefore 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 research papers bringing together different approaches to a general characterization of kinds of negation and classifications thereof.
Audience: Scholars and graduate students in the fields of philosophy, logic mathematics, computer science and linguistics.
Table of Contents
Preface. Part I: Models, Relevance and Impossibility. Negation: Two Points of View; A. Avron. A Comparative Study of Various Model-Theoretic Treatments of Negation: A History of Formal Negation; J.M. Dunn.. Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley Star); G. Restall. Negation in the Light of Modal Logic; K. Dosen. Part II: Paraconsistency, Partiality and Logic Programming. Negation and Contradiction; D. Gabbay, A. Hunter. What not? A Defence of Dialetheic Theory of Negation; G. Priest. Partial Logics with Two Kinds of Negation as a Foundation for Knowledge-Based Reasoning; H. Herre, et al. From Here to There: Stable Negation in Logic Programming; D. Pearce. Part III: Absurdity, Falsity and Refutability. Antirealism and Falsity; M. Hand. Negation, Absurdity and Contrariety; N. Tennant. Negation as Falsity: A Reply to Tennant; H. Wansing. Part IV: Negations, Natural Language and The Liar. Models for Non-Boolean Negations in Natural Languages Based on Aspect Analysis; M. La Palme Reyes, et al. Negation, Denial and Language Change in Philosophical Logic; J. Tappenden. What is That Item Designated Negation? R. Sylvan. Index.
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