Denying the antecedent

Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement. It is committed by reasoning in the form: If P, then Q.Therefore, if not P, then not Q. which may also be phrased as (P implies Q) (therefore, not-P implies not-Q) Arguments of this form are invalid. Informally, this means that arguments of this form do not give good reason to establish their conclusions, even if their premises are true. If it is raining, then the grass is wet.It is not raining.Therefore, the grass is not wet.

Denying the antecedent

Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement. It is committed by reasoning in the form: If P, then Q.Therefore, if not P, then not Q. which may also be phrased as (P implies Q) (therefore, not-P implies not-Q) Arguments of this form are invalid. Informally, this means that arguments of this form do not give good reason to establish their conclusions, even if their premises are true. If it is raining, then the grass is wet.It is not raining.Therefore, the grass is not wet.