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Unformatted text preview: q] p 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 The rest of the rules of implication are listed on page 79 of the book. You will get more practice using these in recitation. Practice Problem : Using the rules of inference, and given the following premises: p (q r) p s t q s Show that r t must be true. Here is a list of the other rules stated in the text, without proof: p qp q (Rule of Conjuction) p q pq (Rule of Disjunctive Syllogism) p Fp (Rule of Contradiction) p qp (Rule of Conjunctive Simplification) pp q (Rule of Disjunctive Amplification) p q p (q r)r (Rule of Conditional Proof) p r q r(p q) r (Rule for Proof by Cases) p q r s p rq s (Rule of the Constructive Dilemma) p q r s q s p r...
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 Spring '09

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