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Use rules of inference to show that the hypotheses “If it
Chapter 7, Problem 6E(choose chapter or problem)
Problem 6E
Use rules of inference to show that the hypotheses “If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on.” “If the sailing race is held, then the trophy will be awarded,” and “The trophy was not awarded” imply the conclusion “It rained.”
Questions & Answers
QUESTION:
Problem 6E
Use rules of inference to show that the hypotheses “If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on.” “If the sailing race is held, then the trophy will be awarded,” and “The trophy was not awarded” imply the conclusion “It rained.”
ANSWER:
Solution
Step 1:
In this statement “If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on.” “If the sailing race is held, then the trophy will be awarded,” and “The trophy was not awarded” imply the conclusion “It rained.”