Affirming the consequent, sometimes called converse error, is a formal fallacy, committed by reasoning in the form:
- If P, then Q.
- Q.
- Therefore, P.
Arguments of this form are invalid, in that the conclusion (3) does not have to follow even when statements 1 and 2 are true. The simple reason for this is that P was never asserted as the only sufficient condition for Q, so, in general, any number of other factors could account for Q (while P was false).
The name affirming the consequent derives from the premise Q, which affirms the "then" clause of the conditional premise.
One way to demonstrate the invalidity of this argument form is with a counterexample with true premises but an obviously false conclusion. For example:
If Bill Gates owns Fort Knox, then he is rich.
Bill Gates is rich.
Therefore, Bill Gates owns Fort Knox.
Owning Fort Knox is not the
only way to be rich. There are any number of other ways to be rich.