Affirming the Consequent

From “if P then Q” and Q, wrongly concluding that P must be true.

  • formal

Affirming the consequent is an invalid argument form: from “if P then Q” and the fact that Q is true, it concludes that P is true. But Q may hold for other reasons — the conditional runs only one way, so confirming the consequent does nothing to establish the antecedent.

Examples

  • “If it's raining, the street is wet. The street is wet, so it must be raining.” — a street cleaner could have wet it.
  • “If she studied, she'd pass the test. She passed, so she must have studied.” — she might have passed without studying.

Why it works & how to counter

Persuasive because the two facts genuinely are connected. Counter it by listing other ways the consequent could come about — if Q has more than one possible cause, Q doesn't prove P.