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Converse Relation, Opposite Order Relation
Converse may refer to: Mathematics and logic * Converse (logic), the result of reversing the two parts of a definite or implicational statement ** Converse implication, the converse of a material implication ** Converse nonimplication, a logical connective which is the negation of the converse implication * Converse (semantics), pairs of words that refer to a relationship from opposite points of view * Converse accident, a logical fallacy that can occur in a statistical syllogism when an exception to a generalization is wrongly excluded * Converse relation or inverse relation, in mathematics the relation that occurs when switching the order of the elements in a binary relation Places in the United States * Converse, Blackford County, Indiana * Converse, Indiana * Converse, Louisiana * Converse, Missouri * Converse, South Carolina * Converse, Texas * Converse County, Wyoming * Converse Basin, a grove of giant sequoia trees located in the Sequoia National Forest in the S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Converse (logic)
In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the Material conditional, implication ''P'' → ''Q'', the converse is ''Q'' → ''P''. For the categorical proposition ''All S are P'', the converse is ''All P are S''. Either way, the truth of the converse is generally independent from that of the original statement.Robert Audi, ed. (1999), ''The Cambridge Dictionary of Philosophy'', 2nd ed., Cambridge University Press: "converse". Implicational converse Let ''S'' be a statement of the form ''P implies Q'' (''P'' → ''Q''). Then the ''converse'' of ''S'' is the statement ''Q implies P'' (''Q'' → ''P''). In general, the truth of ''S'' says nothing about the truth of its converse, unless the Antecedent (logic), antecedent ''P'' and the consequent ''Q'' are logically equivalent. For example, consider the true statement "If I am a human, then I am mortal." The converse of that stateme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
