In Contradiction: A Study of the TransconsistentIn Contradiction advocates and defends the view that there are true contradictions (dialetheism), a view that flies in the face of orthodoxy in Western philosophy since Aristotle. The book has been at the center of the controversies surrounding dialetheism ever since its first publication in1987. This second edition of the book substantially expands upon the original in various ways, and also contains the author's reflections on developments over the last two decades. Further aspects of dialetheism are discussed in the companion volume, Doubt Truth to be a Liar, also published byOxford University Press in 2006. |
Contents
Introduction | 1 |
The Logical Paradoxes | 9 |
Set Theoretic Paradoxes 33335 | 35 |
Copyright | |
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abstract application argue argument Asat assertion avẞ axioms believe category theory chapter claim classical logic concepts consequence consistent construction contradiction cumulative hierarchy defined deontic dialetheias dialetheism discussion disjunction English entailment example extensional fact false follows formal formula give given Goedel's theorem Hegel Hegelean Hence holds implication inconsistent obligations inference instant interpretation intuitionist law of non-contradiction liar paradox logical paradoxes logical theory logician mathematical mathematical realism naive proof naive set theory negation notion objects orthodox particular Philosophical philosophy of mathematics Priest principle problem produce propositional parameter provable prove quantifiers quasi-valid question rationally acceptable rationally rejectable realism reason recursive Routley rules satisfaction scheme semantic paradoxes sense sentence situation specific statement suggested suppose T-scheme t₁ Tarski tense logic theory of truth true iff truth and falsity truth conditions truth predicate truth theory truth value gaps valid Valueless w+(w