High Quality Content by WIKIPEDIA articles In logic, entailment is a relation between a set of sentences (e.g., meaningfully declarative sentences or truthbearers) and a sentence. Let Γ be a set of one or more sentences; let S1 be the conjunction of the elements of Γ, and let S2 be a sentence: then, Γ entails S2 if and only if S1 and not-S2 are logically inconsistent. S2 is called the logical consequent of Γ; S1 is said to logically imply S2.
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