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modus tollens

From "if P, then Q" and not Q, conclude not P.

Modus tollens ("the way of denying") is the valid form: if P, then Q; not Q; therefore not P. The second premise denies the consequent, and the conclusion denies the antecedent.

Examples

  • "If the package was delivered, it's on the porch. It's not on the porch. So it wasn't delivered."

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