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You will construct truth tables and use them to assess the validity of arguments.
1 Premise: P → Q Conclusion: ~P → ~Q
2 Premise: P → Q Conclusion: ~Q → ~P
3 Premise: (P & Q) → R Q → R Conclusion: P → R
4 Translate the following argument and use truth tables to test for validity. "If 9 is less than 10 and every odd number less than 10 is divisible by 3, then 9 is divisible by 3. THEREFORE If 9 is less than 10 it is less than 10 it is divisible by 3." N = "9 is less than 10" O = "Every odd number less than 10 is divisible by 3." D = "9 is divisible by 3."
5. Translate the following argument and use truth tables to test for validity. "If it rains tomorrow, I will have a tough commute. If it snows tomorrow, I will have a tough commute. It will either rain or snow tomorrow. THEREFORE I will have a tough commute." R = "It rains tomorrow." S = "It snows tomorrow." T = "I will have a tough commute."
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