The Law of Non-contradiction: New Philosophical Essays

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Boyce Gibson Professor of Philosophy Graham Priest, Graham Priest, J. C. Beall, Jeffrey C. Beall, Bradley P. Armour-Garb
Clarendon Press, 2004 - Philosophy - 443 pages
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 center 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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Contents

Whats So Bad About Contradictions?
23
On the Formalization of the Law of NonContradiction
41
What is a Contradiction?
49
Laws of NonContradiction Laws of
73
Option Negation and Dialetheias
85
Conjunction and Contradiction
93
Diagnosing Dialetheism
113
Knowledge and NonContradiction
126
To Pee and not to Pee? Could That Be the Question?
235
Realism and Dialetheism
245
Semantic Dialetheism
264
Ramseys Dialetheism
276
A Critique of Dialetheism
314
Simple Truth Contradiction and Consistency
336
An AntiRealist Critique of Dialetheism
355
There Are No True Contradictions
385

Logical NonApriorism and the Law of NonContradiction
156
Letters to Beall and Priest
176
True and FalseAs If
197
The Philosophical Basis of What? The AntiRealist
217
In Defense of the Law of NonContradiction
418
Index
437
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About the author (2004)

Graham Priest is in the Departments of Philosophy, Universities of Melbourne and St Andrews. JC Beall is in the Department of Philosophy, University of Connecticut. Bradley Armour-Garb is in the Department of Philosophy, University of Albany.

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