SSH 105 Lecture Notes - Lecture 7: Modus Tollens, Ibuprofen, Modus Ponens
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In a conditional statement we do not assert either the antecedent or the consequent. Three forms of conditional reasoning are always valid. Modus ponens: (1) if p, then q (2) p ________ Modus tollens: (1) if p, then q (2) not q (3) not p. Jones is not a bachelor (1) + (2) (3) (1) + (2) (3) (1) + (2) (3) (1) + (2) (3) (1) + (2) (3) Pure conditional reasoning: (1) if p, then q (2) if q, then r (3) if p, then r. If jones is a bachelor, then he is a man. If jones is a man then he is mortal. If jones is a bachelor, then he is mortal. Denying the antecedent: (1) if p, then q (2) not p (3) not q. Affirming the consequent: (1) if p, then q (2) q _______ (3) p.