The Law of Non-Contradiction New Philosophical Essays

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Format: Hardcover
Pub. Date: 2004-12-30
Publisher(s): Clarendon Press
List Price: $184.80

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Summary

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'sleading 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 verycentre 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.

Table of Contents

List of Contributors
ix
Introduction: At the Intersection of Truth and Falsity 1(22)
JC Beall
Part I: Setting up the Debate
What's So Bad About Contradictions?
23(18)
Graham Priest
Part II: What is the LNC?
On the Formalization of the Law of Non-Contradiction
41(8)
Ross T. Brady
What is a Contradiction?
49(24)
Patrick Grim
Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics
73(12)
Greg Restall
Option Negation and Dialetheias
85(8)
R.M. Sainsbury
Conjunction and Contradiction
93(20)
Achille C. Varzi
Part III: Methodological Issues in the Debate
Diagnosing Dialetheism
113(13)
Bradley Armour-Garb
Knowledge and Non-Contradiction
126(30)
Bryson Brown
Logical Non-Apriorism and the `Law' of Non-Contradiction
156(20)
Otavio Bueno
Mark Colyvan
Letters to Beall and Priest
176(2)
David Lewis
Revising Logic
178(19)
Michael D. Resnik
Part IV: Against the LNC
True and False---As If
197(20)
JC Beall
The Philosophical Basis of What? The Anti-Realist Route to Dialetheism
217(18)
Jon Cogburn
`To Pee and not to Pee?' Could That Be the Question? (Further Reflections of The Dog)
235(10)
Jay Garfield
Realism and Dialetheism
245(19)
Frederick Kroon
Semantic Dialetheism
264(12)
Edwin D. Mares
Ramsey's Dialetheism
276(19)
Vann McGee
Part V: For the LNC
The Barber, Russell's Paradox, Catch-22, God and More: A Defence of a Wittgensteinian Conception of Contradiction
295(19)
Laurence Goldstein
A Critique of Dialetheism
314(22)
Greg Littmann
Keith Simmons
Simple Truth, Contradiction, and Consistency
336(19)
Stewart Shapiro
An Anti-Realist Critique of Dialetheism
355(30)
Neil Tennant
There Are No True Contradictions
385(33)
Alan Weir
In Defense of the Law of Non-Contradiction
418(19)
Edward N. Zalta
Index 437

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