Is Denying the Consequent Valid?

The opposite statement, denying the consequent, is a valid form of argument.

Is denying the consequent always fallacious?

Description: It is a fallacy in formal logic where in a standard if/then premise, the antecedent (what comes after the “if”) is made not true, then it is concluded that the consequent (what comes after the “then”) is not true.

What is an example of denying the consequent?

For example, given the proposition If the burglars entered by the front door, then they forced the lock, it is valid to deduce from the fact that the burglars did not force the lock that they did not enter by the front door.

Sarah Jenkins

Sarah Jenkins

Senior Technology Editor & AI Specialist

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.