Paraconsistency: Logic and Applications

Dordrecht, Netherland: Springer (2013)
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Abstract

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.

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New Directions in Paraconsistent Logic.Jean-Yves Beziau (ed.) - 2015 - New Delhi, India: Springer, India.
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Author Profiles

Koji Tanaka
Australian National University
Franz Berto
University of St. Andrews
Francesco Paoli
Universita di Cagliari
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References found in this work

Situations and attitudes.Jon Barwise & John Perry - 1981 - Journal of Philosophy 78 (11):668-691.
A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
Counterfactuals.David Lewis - 1973 - Philosophy of Science 42 (3):341-344.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press. Edited by Greg Restall.

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