- Title Pages
- List of Contributors
- Introduction: At the Intersection of Truth and Falsity
- 1 What's So Bad About Contradictions?
- 2 On the Formalization of the Law of Non-Contradiction *
- 3 What is a Contradiction?
- 4 Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics *
- 5 Option Negation and Dialetheias
- 6 Conjunction and Contradiction
- 7 Diagnosing Dialetheism *
- 8 Knowledge and Non-Contradiction
- 9 Logical Non-Apriorism and the ‘Law’ of Non-Contradiction
- 10 Letters to Beall and Priest
- 11 Revising Logic
- 12 True and False—As If
- 13 The Philosophical Basis of What? The Anti-Realist Route to Dialetheism
- 14 ‘To Pee and not to Pee?’ Could <i>That</i> Be the Question? (Further Reflections of The Dog) *
- 15 Realism and Dialetheism *
- 16 Semantic Dialetheism *
- 17 Ramsey's Dialetheism
- 18 The Barber, Russell's Paradox, Catch-22, God and More: A Defence of a Wittgensteinian Conception of Contradiction
- 19 A Critique of Dialetheism
- 20 Simple Truth, Contradiction, and Consistency
- 21 An Anti-Realist Critique of Dialetheism
- 22 There Are No True Contradictions
- 23 In Defense of the Law of Non-Contradiction *
- (p.276) 17 Ramsey's Dialetheism
- The Law of Non-Contradiction
- Oxford University Press
For accommodating defective utterances within compositional semantics, truth-value gaps (Kleene's 3-valued logic) and gluts (Priest's LP) are equally efficient, but in terms of classical logic gaps yield harmless incompleteness, whereas gluts precipitate collapse; ex contradictione quodlibet. The discrepancy is less deep than first appears, however. A dialetheist dual to van Fraassen's supervaluationism, implicit in Ramsey's ‘Theories,’ counts sentences true if they are true in at least one acceptable model. Divergent illucutionary norms compensate for differing semantics. Subvaluationists (so-called by Varzi) replace the supervaluationist maxim, ‘Do not assert what is untrue,’ by ‘Do not assert what is false.’ Both predict the same verbal behavior.
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