MAS111_09_assignment_04 - p → r ¬ p → q q → s ∴ ¬...

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NANYANG TECHNOLOGICAL UNIVERSITY MAS 111 FOUNDATION OF MATHEMATICS ASSIGNMENT 4 TUTORIALS: 14, 15, 16/09/09 1. Establish a truth-table to show that the argument p q ¬ q ¬ p is valid. 2. Establish a truth-table to show that the argument p q ¬ p ¬ q is invalid. 3. Are the following arguments valid? Justify your answer. (a) p p q ¬ q r r (b)
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p r q r ( p q ) r 4. Establish the validity of the following arguments: (a) p q p ( r q ) r ( s t ) ¬ s t (b) p ( q r ) p s t q ¬ s ¬ r → ¬ t 5. Show that the following argument is vaid.
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Unformatted text preview: p → r ¬ p → q q → s ∴ ¬ r → s 6. Write the following arguments in symbolic form, and then show that it is valid. If the band could not play rock music or the refreshments were not delivered on time, then the New Year’s party would have been canceled and Alicia would have been angry. If the party were canceled, then refunds would have had to be made. No refunds were made. Therefore, the band could play rock music....
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