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contrapositive

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Definitions of contrapositive in various dictionaries:

CONTRAPOSITIVE - In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of ...

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Possible Dictionary Clues
Logic A proposition derived by negating and permuting the terms of another, equivalent proposition for example, All not-Y is not-X is the contrapositive of All X is Y.

Contrapositive might refer to
In logic, Contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of the statement has its antecedent and consequent inverted and flipped: the contrapositive of * * * * P * * Q * * * {\displaystyle P\rightarrow Q} * is thus * * * * ¬ * Q * * ¬ * P * * * {\displaystyle \neg Q\rightarrow \neg P} * . For instance, the proposition "All cats are mammals" can be restated as the conditional "If something is a cat, then it is a mammal". Now, the law says that statement is identical to the contrapositive "If something is not a mammal, then it is not a cat." * The contrapositive can be compared with three other relationships between conditional statements:* Inversion (the inverse), * * * * ¬ * P * * ¬ * Q * * * {\displaystyle \neg P\rightarrow \neg Q} * * "If something is not a

Contrapositive might refer to

In logic, Contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of the statement has its antecedent and consequent inverted and flipped: the contrapositive of
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* . For instance, the proposition "All cats are mammals" can be restated as the conditional "If something is a cat, then it is a mammal". Now, the law says that statement is identical to the contrapositive "If something is not a mammal, then it is not a cat."
* The contrapositive can be compared with three other relationships between conditional statements:* Inversion (the inverse),
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