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Glite Dictionary
🔄 Reversed and negated 🔄 A reversed statement
contrapositive

contrapositive

9.5
A statement made by swapping the if and then parts and making them the opposite in a conditional
  • noun
  • /ˌkɒntrəˈpɒzɪtɪv/
  • Specialized
translation icon : contrapositivo
  • When analyzing logical arguments, it is essential to remember that the contrapositive of a true statement is always true.

Examples

  • The professor explained that the contrapositive serves as an important tool in proofs, as it can help establish the validity of a claim.

  • Then the last one is going to be the contrapositive, which is going to be the if, if inverse or if not Q then not P.

  • In mathematics, the contrapositive of the statement 'If it rains, then the ground is wet' is 'If the ground is not wet, then it does not rain.'

Synonyms

contraposition
vscontrapositive
  • Specialized
8.8

To form a new if-then statement by switching the two parts and saying each is not true

is the statement you get after reversing and negating hypothesis and conclusion

Surface Forms

contrapositive singular
contrapositives plural

Etymology

A contrapositive comes from contra- 'against' and positive 'affirming', so the name suggests an 'against the affirmative' statement. A contrapositive is the statement you get when you swap the 'if' and 'then' parts and make them negative, and this explains why we use that word for this logical form.