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Paraconsistency
logic and applications
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.
Details | Table of Contents
introduction
pp.1-12
https://doi.org/10.1007/978-94-007-4438-7_1the nature of logic, classical logic and paraconsistent logic
pp.15-25
https://doi.org/10.1007/978-94-007-4438-7_2pp.101-122
https://doi.org/10.1007/978-94-007-4438-7_7some refinements
pp.123-139
https://doi.org/10.1007/978-94-007-4438-7_8pp.141-161
https://doi.org/10.1007/978-94-007-4438-7_9a logic of clutters
pp.163-172
https://doi.org/10.1007/978-94-007-4438-7_10pp.173-198
https://doi.org/10.1007/978-94-007-4438-7_11pp.201-222
https://doi.org/10.1007/978-94-007-4438-7_12pp.223-255
https://doi.org/10.1007/978-94-007-4438-7_13pp.257-276
https://doi.org/10.1007/978-94-007-4438-7_14challenging our prejudices
pp.277-307
https://doi.org/10.1007/978-94-007-4438-7_15Publication details
Publisher: Springer
Place: Dordrecht
Year: 2013
Pages: 383
Series: Logic, Epistemology, and the Unity of Science
Series volume: 26
ISBN (hardback): 978-94-007-4437-0
ISBN (digital): 978-94-007-4438-7
Full citation:
Tanaka Koji, Berto Francesco, Mares Edwin D., Paoli Francesco (2013) Paraconsistency: logic and applications. Dordrecht, Springer.