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EXERCISE 1.12.4: Proving arguments in English are valid using rules of inference. 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. (c) 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. 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. 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. Feedback?

EXERCISE 1.12.4: Proving arguments in English are valid using rules of inference. 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. (c) 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. 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. 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. Feedback?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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EXERCISE 1.12.4: Proving arguments in English are valid using rules of inference. 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. 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. 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. Feedback?
Transcribed Image Text:EXERCISE 1.12.4: Proving arguments in English are valid using rules of inference. 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. 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. 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. Feedback?
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