Solve the following ten problems using the same form that Hurley demonstrated in your text. Show all steps necessary to derive each conclusion.

(1) 1. X É (Y v Z)

2. W É X

3. W

4. ~Y / Z

(2) 1. X É (~Y É ~Z)

2. ~Y

3. Y v X / ~Z

(3) 1. X É Y

2. Y É Z

3. ~Z / ~X

(4) 1. X É (Y v Z)

2. Y É W

3. Z É K

4. X / W v K

(5) 1. X É Y

2. (~X v W) É K

3. ~Y • Z / K v T

(6) 1. (X v Y) É Z

2. ~(Z v W) / ~Y

(7) 1. X • (Y • Z)

2. (Y • X) É (W • T)

3. (T • Z) É L / (Y • W) • Z

(8) 1. ~X É T

2. W • ~T

3. (X v Y) É Z / W • Z

(9) 1. X

2. Y / X ≡ Y

(Hint: remember that you can add anything)

(10) 1. X É Y

2. X É Z / X É (Y • Z)

(Hint: at some point you’ll need to distribute)

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This is for a Logic course using the following text: ISBN:9780495503835

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