Improper transposition, also known as the fallacy of negating the antecedent and consequent is the formal fallacy of deducing the inverse of a material conditional from it's associated conditional. That is, the invalid argument form:

\frac{P \to Q}{\lnot P \to Q}.


  • P1: If Socrates is a man, then he is a mortal.
  • C: Therefore, if Socrates is not a man, he is not a mortal.

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