Deductive closure is a concept in epistemology and logic that pertains to the completeness of a set of beliefs or propositions in relation to logical entailment. Specifically, a set of beliefs is said to be deductively closed if, whenever the set contains a belief (or proposition) \( P \) and \( P \) logically entails another belief (or proposition) \( Q \), then \( Q \) is also contained within that set.
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