Chapter 8, Level 1 Self Quiz: CII

. Determine whether the following translation and proof are correct or incorrect.

If my son drinks three sodas, then if he eats some chocolate, then he gets hyper. If he is excited, then my son drinks three sodas. Furthermore, my son is excited, or he either drinks three sodas or he eats some chocolate. But it is not the case that if he eats some chocolate, then he gets hyper. We can conclude that he eats some chocolate. (S, C, H, E).

 The eight steps are: 1. (C horseshoe H) horseshoe S. 2. E horseshoe S. 3. E wedge (S wedge C). 4. Tilde 9C horseshoe H). 5. Tilde S 1, 4, M T. 6. Tilde E 2, 5, M T. 7. S wedge C 3, 6, D S. 8. C 5, 7 D S.

. Determine whether the following translation and proof are correct or incorrect.

If Suzy buys a new car or a new motorcycle, then she has to take a loan. If Suzy saves half her weekly salary for a year, then if she doesn't go on an expensive vacation, then she will not have to take a loan. Either she goes on an expensive vacation or she saves half her weekly salary for a year. But Suzy does not go on an expensive vacation. Therefore, it is not the case that either Suzy buys a new car or a new motorcycle. (C, M, L, S, E)

 The eight steps are: 1. (C wedge M) horseshoe L. 2. S horseshoe (tilde E horseshoe tilde L). 3. E wedge S. 4. Tilde E slash tilde (C wedge M). 5. S 3, 4, D S. 6. Tilde L 4, 5, M P. 7. Tilde (C wedge M) 1, 6, M T.

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