Frontiers of Paraconsistent Logic

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Overview

Paraconsistent logic is one of the most important and challenging developments in modern logic. Many of the papers in the book are by those who have already made significant advances in the subject. It is unlikely that so many of the founders of this subject will be gathered together again. The work is at the cutting edge of this rapidly advancing subject. Paraconsistent logic, logic in which inconsistent information does not deliver arbitrary conclusions, is one of the fastest growing areas of logic, with roots in profound philosophical issues, and applications in information processing and philosophy of science. This book contains selected, edited papers presented at the First World Congress on Paraconsistency, held in Ghent in 1997; a milestone event in the subject. The book will be invaluable to all who want to learn what the subject is, and where it is currently going.

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Product Details

Table of Contents

Editorial Preface
Introduction
Relevant Counterfactuals and Paraconsistency 1
Bilattices and Paraconsistency 11
Paraconsistent Deontic Logic with Enforceable Rights 29
A Survey of Inconsistency-Adaptive Logics 49
Graded Paraconsistency - Reasoning with Inconsistent and Uncertain Knowledge 75
What is Paraconsistent Logic? 95
Entailment, Negation and Paradox Solution 113
Sample Natural Deduction for Weakly Aggregative Paraconsistent Logics 137
Possible-Translations Semantics for Paraconsistent Logics 149
Paraconsistent Mathematics 165
A Maximal Paraconsistent Logic: The Combination of Two Three-valued Isomorphs of Classical Propositional Logic 181
An Extremely Rich Paraconsistent Logic and the Adaptive Logic Based on It 189
Prospects for Inconsistency 203
Exponentials as Projections from Paraconsistent Logics 209
Motivations for Paraconsistency: the Slippery Slope from Classical Logic to Dialetheism 223
Maybe, Maybe Not: A Probabilistic Semantics for Two Paraconsistent Logics 233
An Approach to the Justification of Semantics of Paraconsistent Logics 255
Paraconsistency in Categories 263
Supervaluationism and Paraconsistency 279
Mathematical Analysis of Priest's Nonmonotonic Version of a Variant of Kleene's SK[subscript 3] 299
Reasons for Filtering Classical Logic 315
Index 329
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