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The Law of Non-Contradiction
New Philosophical Essays
Edited by Graham Priest, JC Beall, and Bradley Armour-Garb
400 pages
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234x156mm
978-0-19-920419-9
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Paperback
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30 November 2006
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- A topic which goes to the heart of logic and many other areas of philosophy
- Stellar, international line-up of contributors
- Highly useful introduction to orient the reader
The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma 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 centre 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. One of the editors contributes an introduction which surveys the issues and serves to frame the debate.
This collection 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. Readership: Scholars and students of philosophical logic, and philosophy of language; also those working on linguistics, philosophy of mathematics, epistemology, and metaphysics
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Edited by Graham Priest, Departments of Philosophy, Universities of Melbourne and St Andrews, JC Beall, Department of Philosophy, University of Connecticut, and Bradley Armour-Garb, Department of Philosophy, University at Albany, SUNY Contributors:
JC Beall
Graham Priest
Ross T. Brady
Patrick Grim
Greg Restall
R. M. Sainsbury
Achille C. Varzi
Bradley Armour-Garb
Bryson Brown
Otavio Bueno
Mark Colyvan
David Lewis
Michael D. Resnik
Jon Cogburn
Jay
Garfield
Frederick Kroon
Edwin D. Mares
Vann McGee
Laurence Goldstein
Greg Littman
Keith Simmons
Stewart Shapiro
Neil Tennant
Alan Weir
Edward N. Zalta
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Review(s) from previous edition
"Since dialetheism has, in recent years, scrounged its way from being a view easily defeated by the dreaded incredulous stare to being a major (but still sometimes ignored) contender in the contest for an adequate logical account of the semantic and set-theoretic paradoxes (or an adequate logical theory in general), 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. - Roy Cook, Notre Dame Philosophical Reviews
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JC Beall: Introduction: At the Intersection of Truth and Falsity
Part I: Setting up the Debate
1: Graham Priest: What's So Bad About Contradictions?
Part II: What is the LNC?
2: Ross T. Brady: On the Formalization of the Law of Non-Contradiction
3: Patrick Grim: What is a Contradiction?
4: Greg Restall: Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics
5: R. M. Sainsbury: Option Negation and Dialetheias
6: Achille C. Varzi: Conjunction and Contradiction
Part III: Methodological Issues in the Debate
7: Bradley Armour-Garb: Diagnosing Dialetheism
8: Bryson Brown: Knowledge and Non-Contradiction
9: Otavio Bueno and Mark Colyvan: Logical Non-Apriorism and the 'Law' of Non-Contradiction
10: David Lewis: Letters to Beall and Priest
11: Michael D. Resnik: Holism and the Revision of Logic
Part IV: Against the LNC
12: JC Beall: True and False - As If
13: Jon Cogburn: The Philosophical Basis of What? The Anti-Realist Route to Dialetheism
14: Jay Garfield: To Pee and not to Pee? Could That Be the Question? (Further Reflections of the Dog)
15: Frederick Kroon: Realism and Dialetheism
16: Edwin D. Mares: Semantic Dialetheism
17: Vann McGee: Ramsey's Dialetheism
Part V: For the LNC
18: Laurence Goldstein: The Barber, Russell's Paradox, Catch-22, God, Contradiction, and More
19: Greg Littman and Keith Simmons: A Critique of Dialetheism
20: Stewart Shapiro: Simple Truth, Contradiction, and Consistency
21: Neil Tennant: An Anti-Realist Critique of Dialetheism
22: Alan Weir: There Are No True Contradictions
23: Edward N. Zalta: In Defence of the Law of Non-Contradiction
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