Why is denying the antecedent a fallacy?
Denying the antecedent is a logical fallacy because the absence of one potential cause doesn’t mean that no other causes exist.
Consider the following example:
- If it’s raining (antecedent), then the ground is wet (consequent).
- It’s not raining.
- Therefore, the ground is not wet.
This argument is clearly faulty because the ground could be wet for many reasons other than rain (e.g., lawn sprinklers). In other words, the conclusion is not solely dependent on the premise.