1. P ⊃ (Q ⊃ R)
2. ∼(R ⊃ S) ⊃ ∼T
3. (U $ \lor $ ∼T) $ \lor $ ∼(Q ⊃ S) / ∼U ⊃ ∼(P • T)
-Which of the following methods is most appropriate to derive the conclusion of the given argument?
A) Assume '∼U' for conditional proof and then assume '∼(P • T)' for indirect proof.
B) Assume '∼U' for conditional proof and then assume 'P • T' for indirect proof.
C) Assume 'U' for conditional proof and then assume 'P • T' for indirect proof.
D) Assume '∼U • ∼(P • T)' for indirect proof.
E) Assume '∼U ⊃ ∼(P • T)' for conditional proof.

Question

Quizplus · Accepted Answer

To derive the conclusion ∼U ⊃ ∼(P • T), the most appropriate method is to assume the antecedent (∼U) for a conditional proof and then assume the negation of the consequent (P • T) for an indirect proof. This approach allows us to show that assuming P • T leads to a contradiction, thereby proving ∼(P • T) under the assumption of ∼U.

1 P ⊃ (Q ⊃ R) 2 ∨ \lor ∨ ∼T) ∨ \lor ∨

1 P ⊃ (Q ⊃ R)
2 $\lor$ ∼T) $\lor$