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Contrapositive vs Contraposition - What's the difference?

contrapositive | contraposition | Related terms |

Contraposition is a related term of contrapositive.



In lang=en terms the difference between contrapositive and contraposition

is that contrapositive is the inverse of the converse of a given proposition while contraposition is the statement of the form "if not Q then not P", given the statement "if P then Q".

contrapositive

English

(Contraposition)

Noun

(en noun)
  • (logic) the inverse of the converse of a given proposition

    • Usage notes

    * From a proposition, its inverse, its converse and its contrapositive are derived as follows: *: Proposition: "If P then Q." *: Inverse: "If not P then not Q." *: Converse: "If Q then P." *: Contrapositive: "If not Q then not P." * If a proposition is true then its contrapositive is, too. Thus, if the statement "If I'm Roman, then I can speak Latin" is true, then it logically follows that the statement "If I can't speak Latin, then I'm not Roman" must also be true.

    See also

    * converse * inverse

    contraposition

    English

    (wikipedia contraposition)

    Noun

    (en noun)
  • (logic) The statement of the form "if not Q then not P", given the statement "if P then Q".

    • Related terms

    * contrapositive * implication