converse of implication

  • 31Boolean algebra — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… …

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  • 32Boolean algebra (introduction) — Boolean algebra, developed in 1854 by George Boole in his book An Investigation of the Laws of Thought , is a variant of ordinary algebra as taught in high school. Boolean algebra differs from ordinary algebra in three ways: in the values that… …

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  • 33Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …

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  • 34Transpose graph — In the mathematical and algorithmic study of graph theory, the converse[1], transpose[2] or reverse[3] of a directed graph G is another directed graph on the same set of vertices with all of the edges reversed compared to the orientation of the… …

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  • 35Logical conjunction — ∧ redirects here. For exterior product, see exterior algebra. Venn diagram of …

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  • 36Sheffer stroke — This article is about the logical NAND operator. For the electronic NAND gate, see Negated AND gate. For other uses, see Nand (disambiguation). Venn diagram of In Boolean functions and propositional calculus, the Sheffer stroke, named after …

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  • 37Contradiction — In classical logic, a contradiction consists of a logical incompatibility between two or more propositions. It occurs when the propositions, taken together, yield two conclusions which form the logical, usually opposite inversions of each other.… …

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  • 38Logical NOR — This article is about NOR in the logical sense. For the electronic gate, see NOR gate. For other uses, see Nor. Venn diagram of In boolean logic, logical nor or joint denial is a truth functional operator which produces a result that is the… …

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  • 39OR gate — This article is about OR in the sense of an electronic logic gate (e.g. CMOS 4071). For OR in the purely logical sense, see Logical disjunction. INPUT A   B OUTPUT A + B 0 0 0 0 1 1 1 0 1 …

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  • 40Logical equality — For the corresponding concept in combinational logic, see XNOR gate. XNOR Logic Gate Symbol Logical equality is a logical operator that corresponds to equality in Boolean algebra and to the logical biconditional in propositional calculus. It… …

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