07-rules-of-inference

# If 27196 is multiple of 17 then 2719617 is multiple

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Unformatted text preview: ence (example) Determine the conclusion of the following argument must be true or not. If 27196 is multiple of 17, then 27196+17 is multiple of 17. 27196 is multiple of 17. Therefore, 27196+17 is multiple of 17. Solution: Check if all premises are true “27196 is multiple of 17” is false. The conclusion “27196+17 is multiple of 17” is not true. 8 Rules of inference Argument: It is sunny today. Therefore, it is either sunny or cloudy today. p. Therefore, p p q p q p premise true conclusion true (p q) Tautology 9 Rules of inference (example) State which rule of inference is applied in the following argument. Tofu is healthy to eat. Therefore, either tofu or cheeseburger is healthy to eat. Solution: Determine individual propositions p: tofu is healthy to eat. q: cheeseburger is healthy to eat. Determine the argument using p and q p p. pq Therefore, p q. 10 Rules of inference Argument: It is cloudy and raining. Therefore, it is cloudy. p q. Therefore, p. p q p premise true conclusion true (p q) p Tautology 11 Rules of inference (...
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## This note was uploaded on 01/13/2014 for the course CSE 1019 taught by Professor Shafiei during the Summer '09 term at York University.

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