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a converse is an if-then statement in which the hypothesis and the conclusion are switched.


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Writing the converse of a statement involves reversing the order of its hypothesis and conclusion. For example, if the original statement is "If P, then Q," the converse would be "If Q, then P." In logic, the truth of a statement does not guarantee the truth of its converse, so they can have different truth values. The converse is often explored in mathematical proofs and reasoning, particularly in geometry and conditional statements.


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A. O. Converse has written: 'Optimization' -- subject(s): Mathematical optimization, Programming (Mathematics)