Dialetheism (Stanford Encyclopedia of Philosophy)
A dialetheia is a sentence, A 𝐴 , such that both it and its negation, ¬ A ¬ 𝐴 , are true. If falsity is assumed to be the truth of negation, a dialetheia is a sentence which is both true and false. Such a sentence is, or has, what is called a truth-value glut, in distinction to a gap, a sentence that is neither true nor false. (We shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as one’s favourite truth-bearer: this would make little difference in the context.) Dialetheism is the view that there are dialetheias. If we define a contradiction as a couple of sentences of which one is the negation of the other, or as a conjunction of such sentences, then dialetheism amounts to the claim that there are true contradictions. As such, dialetheism opposes—contradicts—the Law of Non-Contradiction (LNC), sometimes also called the Law of Contradiction. The Law can be expressed in various ways; fixing the
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