Question

Given the following premises:
1. Q ⊃ (A ∨ ∼T)
2. T
3. A ∨ ∼T

Answer 1

The argument is valid.

Step-by-step explanation:

The given premises are:

1. Q → (A ∨ ∼T)
2. T
3. A ∨ ∼T

To evaluate the validity of the argument, we can use the method of modus ponens. Modus ponens states that if we have a conditional statement (P → Q) and we know that P is true, then we can conclude that Q is true. In this case, we can observe that the first premise is a conditional statement, with Q as the antecedent and (A ∨ ∼T) as the consequent. The second premise tells us that T is true. By applying modus ponens, we can conclude that (A ∨ ∼T) is also true. The third premise confirms that either A or ∼T is true. Therefore, the argument is valid.