Abstract

Abstract Natural assumptions about truth lead, in classical logic, to well-known paradoxes (such as the Liar paradox and the Curry paradox). One response to these paradoxes is (i) to weaken classical logic by restricting the law of excluded middle; and (ii) to adopt an account of the conditional according to which it is not de defined from negation and disjunction in the usual way, so that the biconditionals True( A ) A can be retained in the absence of excluded middle.

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