different between contrapositive vs contraposition

contrapositive

English

Etymology

contra- +? positive

Noun

contrapositive (plural contrapositives)

  1. (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:

  • what's contrapositive mean in math
  • what's contrapositive mean
  • what is contrapositive statement
  • what is contrapositive in geometry
  • what does contrapositive mean in math
  • what does contrapositive mean in geometry
  • what is contrapositive in logic
  • what is contrapositive proof


contraposition

English

Etymology

contra- +? position

Noun

contraposition (countable and uncountable, plural contrapositions)

  1. (countable, logic) The statement of the form "if not Q then not P", given the statement "if P then Q".
  2. 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.

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
+1
Share
Pin
Like
Send
Share

you may also like