The Law of Non-Contradiction

New Philosophical Essays
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JC Beall is Professor of Philosophy at the University of Connecticut, USA, where he is Director of the UConn Logic Group. His books include Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic with Bas van Fraassen, Logical Pluralism with Greg Restall, and Spandrels of Truth.
The Law of Non-Contradiction - that no contradiction can be true - has been a seemingly unassailable dogma since the work of Aristotle. 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.
  • 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

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.

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