Question

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

Given the following premises:
1. (G ⊃ A) ∨ ~T
2. G
3. ∼T
a. G ⊃ A 1, 3, DS
b. A 1, 2, MP
c. G • ∼T 2, 3, Conj
d. G ⊃ A 1, Simp

Answer 1

The correct conclusion that follows from the given premises is G ⊃ A (option a). This can be determined through the use of Disjunctive Syllogism, Simplification, and Modus Ponens.

Step-by-step explanation:

The correct conclusion that follows in a single step from the given premises is G ⊃ A (option a).

To arrive at this conclusion, we need to use Disjunctive Syllogism. Starting with premise 1 (G ⊃ A) ∨ ~T, we can eliminate the second disjunct (~T) because it is not relevant to our goal of determining the conclusion. This leaves us with (G ⊃ A). From premise 2 (G), we can use Simplification to derive G. Then, combining G with (G ⊃ A), we can use Modus Ponens to conclude A.