5. Which of the choices below is a correct translation of Rocks will fall if and

Question

5. Which of the choices below is a correct translation of Rocks will fall if and only if they are nudged" (R, F, N)? a. (x)[Rx => (Fx => Nx)] b, (x)(Fx => Nx) => Rx] c. (x)[(Rx. Nx) ->Fx] d. (x)[Rx-(Nx- Fx) Answer: 6. Which of the following is a correct translation of "Not all books that are easy to read are either cheap or enjoyable" (B, R, C, E)? Answer: 7. Where is the mistake in the following proof? 1. (]x)(Fx. Ax) 2. (]x)(Fx. Ox) 3..: (]x)(Ax. Ox) 4. Fb. Ab (1, E.I.) 5. Fb. Ob (2, E.I.) 6. Ab. Fb (4, Com.) 7. Ab (6, Simp.) 8. Ob. Fb (5, Com.) 9. Ob (8, Simp.) 10. Ab. Ob (7,9, Conj.) 11. (]x)(Ax. Ox) (10, E.G.) a. line 4 b. line 8 c. line 5 d. line 9 Answer

Explanation / Answer

5) The correct translation of "Rocks will fall if and only if they are nudged" is

c. (x)[(Rx.Nx) => Fx]

6) The correct translation of "Not all books that are easy to read are either cheap or enjoyable" is

c. ( ]x)[(Bx.Rx)v~(CxvEx)]

7) The mistake is

c. line 5

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