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 → Q {\displaystyle P\rightarrow Q} (P implies Q)The fallacy of affirming the consequent occurs when a hypothetical proposition comprising an antecedent and a consequent asserts that the truthfulness of the consequent implies the truthfulness of the antecedent This is fallacious because it assumes a bidirectionality when it does not necessarily exist If P, then Q Q Therefore, P(formal fallacy of AFFIRMING THE CONSEQUENT) If p, then q q; Argument Quality In Real World Argumentation Trends In Cognitive Sciences If p then q q therefore p fallacy
