Question

Select the conclusion that follows in a single step from the given premises:

1. ~R≡ ~R
2. N • ~T
3. R ⊃ ~(N • ~T)
Which Answer:
a) ∼T 2, Simp
b) (N •∼T)⊃∼R 3, Trans
c) ∼R 2, 3, MT
d) R⊃(∼N∨∼∼T) 3, DM
e) ∼R 1, Taut

Answer 1

The conclusion that follows in a single step from the given premises is ∼R.

Step-by-step explanation:

The correct answer is c) ∼R 2, 3, MT. The premises of the argument are ~R≡ ~R, N • ~T, and R ⊃ ~(N • ~T). In order to find the conclusion that follows from these premises, we can use the method of Modus Tollens. By applying Modus Tollens to premise 3, we can conclude that ~R. And since ~R is mentioned in premise 2, we can deduce that ~R is the conclusion that follows from the given premises.