Paraconsistent Logic: Essays On The Inconsistent

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Paraconsistent logic is a branch of logic which concerns the logical structure of inconsistent situations. Though the subject has roots which spread back through the history of philosophy, in its modern form it is barely thirty years old. It is, therefore, still in a young and rapidly developing state. Orthodox logical theory presupposes that there are no inconsistent situations in any important sense. This is a view which also underpins much traditional metaphysics and epistemology. Paraconsistency rejects this view and, therefore, poses a radical challenge to orthodox logic and much orthodox philosophy. It is, therefore, potentially a development of singular importance. This book brings together a collection of essays by most of the leading workers in the field of paraconsistency. All of the essays are previously unpublished and many are undoubtedly of first importance for the subject. However, since the subject is a novel and, therefore, an unfamiliar one, the authors have included substantial introductory essays which explain the current state of the discipline, explore its historical roots and philosophical implications and survey the prospects for future research in the area. Most of the published work in paraconsistency is written for the initiate, concentrates on a small aspect of it, and is spread out over numerous journals. This book therefore provides fort he first time a focal point for research on the subject which will be invaluable to both the novice and the initiate alike.

Author(s): Graham Priest, Richard Routley, Jean Norman
Edition: 1
Publisher: Philosophia Verlag
Year: 1989

Language: English
Pages: 740
City: Munich
Tags: Logic, Paraconsistent Logic, Contradiction, Foundations, Transconsistent, Inconsistent, Linguistics, Language,

Contents
Introduction

Part 1: The History of Paraconsistent Logic
I First Historical Introduction
II An Outline of the History of (Logical) Dialectic
III Aspects of the Historical Development of Paraconsistent Logic
IV Classical Logic aufgehoben

Part 2: Systems of Paraconsistent Logic
V Systems of Paraconsistent Logic
VI Dynamic Dialectical Logics
VII Paraconsistent and Combinatory Logic
VIII Problems of Modal and Discussive Logics
IX Abelian Logic (from A to Z)
X Paraconsistency and C1
XI On Detonating
XII Consistency, Completeness and Negation

Part 3: Applications of Paraconsistent Logic
XIII Applications of Paraconsistent Logic
XIV Toward an Antinomic Mathematics
XV The Non-Triviality of Extensional Dialectical Set Theory
XVI The Non-Triviality of Dialectical Set Theory
XVII RWX is not Curry Paraconsistent

Part 4: The Philosophical Significance of Paraconsistency
XVIII The Philosophical Significance and Inevitability of Paraconsistency
XIX Wittgenstein and Paraconsistency
XX Verum et ens convertuntur: The Identity between Truth and Existence within the Framework of a Contradictorial Modal Set Theory
XXI Reductio ad Absurdum et Modus Tollendo Ponens
XXII Paraconsistent Logic: Some Philosophical Issues
XXIII Moral Dilemmas and the Logic of Deontic Notions

Notes
References
Bibliography
Index
List of Contributors