deductive closure

deductive closure
The set of all the statements that can be deduced from a given set of statements.

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  • Deductive closure — For other uses, see Closure (disambiguation). Peter D. Klein, in the second edition of The Cambridge Dictionary of Philosophy, defines closure as follows: A set of objects, O, is said to exhibit closure or to be closed under a given operation, R …   Wikipedia

  • Closure — may refer to: Closure (container) used to seal a bottle, jug, jar, can, or other container Closure (wine bottle), a stopper Closure (business), the process by which an organization ceases operations Closure (philosophy), a principle in… …   Wikipedia

  • Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …   Wikipedia

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  • Outline of logic — The following outline is provided as an overview of and topical guide to logic: Logic – formal science of using reason, considered a branch of both philosophy and mathematics. Logic investigates and classifies the structure of statements and… …   Wikipedia

  • Combinatory logic — Not to be confused with combinational logic, a topic in digital electronics. Combinatory logic is a notation introduced by Moses Schönfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been… …   Wikipedia

  • Belief revision — is the process of changing beliefs to take into account a new piece of information. The logical formalization of belief revision is researched in philosophy, in databases, and in artificial intelligence for the design of rational agents.What… …   Wikipedia

  • Craig's theorem — In mathematical logic, Craig s theorem states that any recursively enumerable set of well formed formulas of a first order language is (primitively) recursively axiomatizable. This result is not related to the well known Craig interpolation… …   Wikipedia

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  • Robert Nozick — Full name Robert Nozick Born November 16, 1938(1938 11 16) Brooklyn, New York Died January 23, 2002 …   Wikipedia

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