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The Law of Non-Contradiction
New Philosophical Essays

Edited by Graham Priest, J. C. Beall, and Bradley Armour-Garb

Price: £63.00 (hardback)
ISBN-13: 978-0-19-926517-6
Publication date: 21 October 2004
455 pages, 234x156 mm

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Reviews
  • '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. . . . The volume begins with an....' - Roy Cook, Notre Dame Philosophical Reviews
  • 'continued........... excellent introduction by JC Beall. . . . As a survey of a difficult subject, Beall's introduction is a tour-de-force and should be required reading for anyone interested in true contradictions or the philosophy of logic more generally. . . . once one views dialetheism as a natural companion to other, supposedly more 'traditional' views such as classicism, intuitionism, and gappy logics, one wonders why it has taken so long for such an excellent volume to appear.' - Roy Cook, Notre Dame Philosophical Reviews

Description
  • 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 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 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. 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.

Readership: Scholars and students of philosophical logic, and philosophy of language; also those working on linguistics, philosophy of mathematics, epistemology, and metaphysics

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

Authors, editors, and contributors


Edited by Graham Priest, Departments of Philosophy, Universities of Melbourne and St Andrews,
J. C. Beall, Associate Professor of Philosophy, University of Connecticut, and
Bradley Armour-Garb, Assistant Professor of Philosophy, State University of New York at Albany


Links to web resources and related information
More in the same subject area:
Logic
Philosophy of language
Epistemology, theory of knowledge
Metaphysics & ontology
Philosophy of mathematics

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