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150 - handout 12 - 2 march 2010 - sentential logic - class key

# 150 - handout 12 - 2 march 2010 - sentential logic - class key

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P HILOSOPHY 150: I NTRODUCTION TO L OGIC H ANDOUT 12: 2 M ARCH 2010 Alison Duncan Kerr S ENTENTIAL L OGIC E XAMPLES ( TRANSLATE THE FOLLOWING SENTENCES ): 1. Either Gina is not going to the party or Bill is going to be unhappy. ~G ~B G: Gina is going to the party. B: Bill is going to be happy. 2. If James does not jump out the window, he will not survive. ~J ~S J: James does jump out the window. S: James will survive. 3. The cat is on the mat and either the dog is in the car or the monkey is up the tree. C • (D M) C: The cat is on the mat. D: The dog is in the car. M: The monkey is up the tree. 4. If the money is in the suitcase then it is not under the bed, and if the money is not under the bed, then it is in the suitcase. (S ~B) • (~B S) S: The money is in the suitcase. B: The money is under the bed. 5. Neither Jessica nor Paul is going to the wedding. ~(J P) J: Jessica is going to the wedding. P: Paul is going to the wedding. T

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150 - handout 12 - 2 march 2010 - sentential logic - class key

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