different between contrapositive vs contraposition
contrapositive
English
Etymology
contra- +? positive
Noun
contrapositive (plural contrapositives)
- (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.
Translations
See also
- converse
- inverse
contrapositive From the web:
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contraposition
English
Etymology
contra- +? position
Noun
contraposition (countable and uncountable, plural contrapositions)
- (countable, logic) The statement of the form "if not Q then not P", given the statement "if P then Q".
- Opposition; contrast.
- 2012, Erwin W. Straus, Maurice Natanson, Henri Ey, Psychiatry and Philosophy (page 76)
- The expression “Allon” indicates the unique character of this relationship: that of being together in contraposition. I belong to the Allon, and yet detach myself from it.
- 2012, Erwin W. Straus, Maurice Natanson, Henri Ey, Psychiatry and Philosophy (page 76)
Related terms
- contrapose
- contrapositive
- implication
Translations
contraposition From the web:
- contraposition meaning
- what is contraposition in logic
- what does contrapositive mean
- what is contraposition in math
- what does contraposition
- what is contraposition in literature
- what is contrapositive
- what does contrapositive mean in poetry
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