Question
Prove that each argument is valid by replacing each proposition with a variable to obtain the form of the argument. Then use the rules of
Prove that each argument is valid by replacing each proposition with a variable to obtain the form of the argument. Then use the rules of inference to prove that the form is valid.
(a)
If I drive on the freeway, I will see the fire. I will drive on the freeway or take surface streets (or both). I am not going to take surface streets. I will see the fire.
(b)
If it was not foggy or it didn't rain (or both), then the race was held and there was a trophy ceremony. The trophy ceremony was not held. It rained.
(c)
If I work out hard, then I am sore. If I am sore, I take an aspirin. I did not take an aspirin. I did not work out hard.
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