
The fallacy of affirming the consequent (abbreviated FAC) occurs when the consequent of a conditional (the "then" part of an if-then statement) is affirmed, and then a conclusion is drawn, invalidly, that asserts the antecedent of that conditional (the "if" part of the if-then statement).
For example:
1. If it rains, then the sidewalk gets wet.
2. The sidewalk is indeed wet.
3. Therefore, it is raining.
In general, the form of this fallacy is:
1. If P then Q.
2. Q.
3. Therefore, P.
The example above illustrates this form where:
P = it's raining
Q = the sidewalk is wet