The idea of negation is likely one of the critical logical notions. it's been studied given that antiquity and has been subjected to thorough investigations within the improvement of philosophical common sense, linguistics, man made intelligence and common sense programming. The homes of negation-in mixture with these of different logical operations and structural good points of the deducibility relation-serve as gateways between logical structures. accordingly negation performs a major position in making a choice on logical platforms for specific purposes. in the intervening time negation is a 'hot topic', and there's an pressing desire for a finished account of this logical key inspiration. We accordingly have requested major students in quite a few branches of good judgment to give a contribution to a quantity on "What is Negation?". the result's the current well centred number of re seek papers bringing jointly diversified ways towards a normal characteri zation of sorts of negation and classifications thereof. the quantity is based into 4 interrelated thematic elements. half I is situated round the issues of types, Relevance and Impossibility. In bankruptcy 1 (Negation: issues of View), Arnon Avron develops characteri zations of negation, one semantic the opposite proof-theoretic. apparently and perhaps provokingly, below neither of those money owed intuitionistic negation emerges as a real negation. J. Michael Dunn in bankruptcy 2 (A Comparative learn of assorted Model-theoretic remedies of Negation: A historical past of Formal Negation) surveys a close correspondence-theoretic classifcation of assorted notions of negation when it comes to houses of a binary relation interpreted as incompatibility.
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