2) [2 marks each] For each of these sets of premises, what relevant conclusion o

Question

2) [2 marks each] For each of these sets of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a) "If I take the day off, it either rains or snows." “I took Tuesday off or I took Thursday off. "It was sunny on Tuesday." "It did not snow on Thursday b) "IfI cat spicy foods, then I have strange dreams." "I have strange dreams if there is thunder while I sleep." "I did not have strange dreams." c) "Iameither clever or lucky." "I am not lucky." "If I am lucky, then I will win the lottery "Every Computer Science major has a personal computer." "Ralph does not have a personal computer." "Ann has a personal computer d) e) "What is good for corporations is good for Canada. "What is good for Canada is good for you "What is good for corporations is for you to buy lots of stuff." f) "All rodents gnaw their food. "Mice are rodents." "Rabbits do not gnaw their food." "Bats are not rodents. 3) Prove that proposition If n is any odd integer and is any even integer, then, 2n + 3m is even [Bonus] prove the proposition in (3) by contradiction. Hint: you may appeal to facts such as the sum of two even integer is also even integer; and, the sum of two odd integer is even integer

Explanation / Answer

Answer)

2 A) He/She took a leave on thursday as it rained.

B) Neither did he/she eat spicy food nor did it thunder

C) He/She is clever

D) Ann is a computer science major where as Ralph is not.

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