Consider the following argument: It’s too hot or it’s too cold. If it’s too cold, I’ll...
Consider the following argument: It’s too hot or it’s too cold. If it’s too cold, I’ll make a fire. If I will feel like going outside and the pool is open, we’ll go swimming. I’m not making a fire. If it’s not too cold, then the pool will be open and I will feel like going outside.
∴ We’re going swimming.
(i) Translate this argument into propositional logic. Carefully define the propositional variables you use.
(ii) Prove that the argument is valid using natural deduction.
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Consider the following argument: It’s too hot or it’s too cold.
If it’s too cold, I’ll...
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Tony and Peggy Sue graduated from a university in Texas last May. She received a degree in elementary education, and he graduated from the culinary school. They both now work in the Dallas area. Peggy Sue is a teacher, and Tony is a chef at a resort hotel restaurant. It is Christmas Day and Tony asks Peggy Sue to marry him. She excitedly accepts. They set a wedding date of June 30. Tony is from New York City. He is...
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Read the following letter and help Shady Slim with his tax situation. Please assume that his...
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Read the following letter and help Shady Slim with his tax situation. Please assume that his...
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Read the following letter and help Shady Slim with his tax situation. Please assume that his...
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Required information [The following information applies to the questions displayed below.] Read the following letter and help Shady Slim with his tax situation. Please assume that gross income is $172...
Required information [The following information applies to the questions displayed below.] Read the following letter and help Shady Slim with his tax situation. Please assume that gross income is $172,900 (which consists only of salary) for purposes of this problem. December 31, 2018 To the friendly student tax preparer: Hi, it’s Shady Slim again. I just got back from my 55th birthday party, and I’m told that you need some more information from me in order to complete my tax...
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