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MAS111_09_assignment_04-hints

# MAS111_09_assignment_04-hints - NANYANG TECHNOLOGICAL...

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NANYANG TECHNOLOGICAL UNIVERSITY MAS 111 FOUNDATION OF MATHEMATICS ASSIGNMENT 4 HINTS 1. Establish a truth-table to show that the argument p q ¬ q ¬ p is valid. Hint : Construct a truth-table and look at the rows of which all premises are true, and then see whether the corresponding value of the conclu- sion is also true. If yes, then the argument is valid. Otherwise, it is invalid. 2. Establish a truth-table to show that the argument p q ¬ p ¬ q is invalid. Hint : Construct a truth-table and look at the rows of which all premises are true, and then see whether the corresponding value of the conclu- sion is also true. If yes, then the argument is valid. Otherwise, it is invalid. 3. Are the following arguments valid? Justify your answer. (a)

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p p q ¬ q r r (b) p r q r ( p q ) r Hint : A direct method is to construct truth-table for each argument. A variant is to assume that all the premises are true, and then deduce that the conclusion must be true.
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MAS111_09_assignment_04-hints - NANYANG TECHNOLOGICAL...

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