The Law of Non-Contradiction

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Graham Priest (Departments of Philosophy, Universities of Melbourne and St Andrews) JC Beall (Department of Philosophy, University of Connecticut)

The Law of Non-Contradiction

Graham Priest (Departments of Philosophy, Universities of Melbourne and St Andrews), JC Beall (Department of Philosophy, University of Connecticut), Bradley Armour-Garb (Department of Philosophy, University at Albany, SUNY)

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English

Oxford University Press
01 November 2004

Philosophy of language; Philosophy: metaphysics & ontology; Philosophy: epistemology & theory of knowledge; Philosophy: logic

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.

Edited by: Graham Priest (Departments of Philosophy Universities of Melbourne and St Andrews), JC Beall (Department of Philosophy, University of Connecticut), Bradley Armour-Garb (Department of Philosophy, University at Albany, SUNY)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 164mm, Spine: 31mm
Weight: 1g
ISBN: 9780199265176
ISBN 10: 0199265178
Pages: 456
Publication Date: 01 November 2004
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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

Reviews for The Law of Non-Contradiction

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