## The Law of Non-contradiction: New Philosophical EssaysBoyce Gibson Professor of Philosophy Graham Priest, Graham Priest, J. C. Beall, Jeffrey C. Beall, Bradley P. Armour-Garb 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 |

### Other editions - View all

The Law of Non-Contradiction: New Philosophical Essays Graham Priest,JC Beall,Bradley Armour-Garb Limited preview - 2006 |

The Law of Non-contradiction: New Philosophical Essays Bradley P. Armour-Garb No preview available - 2006 |

### Common terms and phrases

abstract object Aiehtela accepts Aiehtelanu anti-extension anti-realist argue argument assert believe claim classical logic concepts conclusion conjunction consequence relation consistent contradictory debate defined deny dialetheism dialetheist discussion disjunction disjunctive syllogism distinct entails epistemic evaluation example fictionalist follows formal given Graham Priest inconsistent inference inferential interpretation intuitionistic intuitionistic logic intuitions JC BEALL Journal of Philosophy Law of Non-Contradiction least liar paradox liar sentence logic of encoding logical consequence logical principles logical theory logical truth logician mathematics meaning metaphysical naive set theory natural language negation normative notion option paraconsistent logic possible predicate premisses priori proof propositions question rational reason Recognition Thesis reflective equilibrium reject relevant logic revising rules Russell's paradox sense simply statement Suppose T-schema Tarski Theorem trivial true and false true contradictions truth and falsity truth-value unhappy-face solution verifiability Verification Constraint