The Law of Non-Contradiction

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Overview

The Law of Non-Contradiction — that no contradiction can be true — has been a seemingly unassailable dogma since the work of Aristotle, in Book G of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the "law," considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very center of logic itself.

The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a "dialetheic" resolution of that paradox. The editors contribute an introduction which surveys the issues and serves to frame the debate, and a useful bibliography offering a guide to further reading.

This volume will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

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Editorial Reviews

From the Publisher
"...the volume is to be commended merely for its existence. The fact that it contains, not just a number of good philosophers taking this view seriously, but also a lot of seriously good philosophy increases its worth...one wonders why it has taken so long for such an excellent volume to appear." —Notre Dame Philosophical Reviews
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Product Details

  • ISBN-13: 9780199265176
  • Publisher: Oxford University Press
  • Publication date: 12/30/2004
  • Pages: 455
  • Product dimensions: 9.20 (w) x 6.20 (h) x 1.40 (d)

Meet the Author

Universities of Melbourne and St Andrews

University of Connecticut

State University of New York at Albany

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Table of Contents

Introduction: At the Intersection of Truth and Falsity, JC Beall
Part I: Setting up the Debate
1. What's So Bad About Contradictions?, Graham Priest
Part II: What is the LNC?
2. On the Formalization of the Law of Non-Contradiction, Ross T. Brady
3. What is a Contradiction?, Patrick Grim
4. Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics, Greg Restall
5. Option Negation and Dialetheias, R. M. Sainsbury
6. Conjunction and Contradiction, Achille C. Varzi
Part III: Methodological Issues in the Debate
7. Diagnosing Dialetheism, Bradley Armour-Garb
8. Knowledge and Non-Contradiction, Bryson Brown
9. Logical Non-Apriorism and the 'Law' of Non-Contradiction, Otavio Bueno and Mark Colyvan
10. Letters to Beall and Priest, David Lewis
11. Holism and the Revision of Logic, Michael D. Resnik
Part IV: Against the LNC
12. True and False - As If, JC Beall
13. The Philosophical Basis of What? The Anti-Realist Route to Dialetheism, Jon Cogburn
14. To Pee and not to Pee? Could That Be the Question? (Further Reflections of the Dog), Jay Garfield
15. Realism and Dialetheism, Frederick Kroon
16. Semantic Dialetheism, Edwin D. Mares
17. Ramsey's Dialetheism, Vann McGee
Part V: For the LNC
18. The Barber, Russell's Paradox, Catch-22, God, Contradiction, and More, Laurence Goldstein
19. A Critique of Dialetheism, Greg Littman and Keith Simmons
20. Simple Truth, Contradiction, and Consistency, Stewart Shapiro
21. An Anti-Realist Critique of Dialetheism, Neil Tennant
22. There Are No True Contradictions, Alan Weir
23. In Defence of the Law of Non-Contradiction, Edward N. Zalta

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