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Paraconsistency: Logic and Applications

  • Book
  • © 2013

Overview

Editors:
  1. Koji Tanaka

    1. , Department of Philosophy, University of Auckland, Auckland, New Zealand

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  2. Francesco Berto

    1. , Department of Philosophy, University of Aberdeen, Aberdeen, United Kingdom

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  3. Edwin Mares

    1. , Department of Philosophy, Victoria University of Wellington, Wellington, New Zealand

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  4. Francesco Paoli

    1. , Department of Education, University of Cagliari, Cagliari, Italy

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  • Provides access to some of the most important systems of paraconsistent logic
  • Up-to-date surveys of recent advancements in non-classical logics and their applications
  • Covers a broad range of philosophical topics, such as: ontology, to epistemology, the philosophy of language, computation, and information

Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 26)

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Table of contents (20 chapters)

  1. Applications

    1. Sorting out the Sorites

      • David Ripley
      Pages 329-348

    2. Are the Sorites and Liar Paradox of a Kind?

      • Dominic Hyde
      Pages 349-366

    3. Vague Inclosures

      • Graham Priest
      Pages 367-377

  2. Back Matter

    Pages 379-383
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Keywords

About this book

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.

Editors and Affiliations

  • , Department of Philosophy, University of Auckland, Auckland, New Zealand

    Koji Tanaka

  • , Department of Philosophy, University of Aberdeen, Aberdeen, United Kingdom

    Francesco Berto

  • , Department of Philosophy, Victoria University of Wellington, Wellington, New Zealand

    Edwin Mares

  • , Department of Education, University of Cagliari, Cagliari, Italy

    Francesco Paoli

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