1. (N ⊃ O) ⊃ P
2. (∼N $ \lor $ O) ≡ (∼Q ⊃ R)
3. R $ \lor $ (S ⊃ Q)
-Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
A) ∼P ⊃ ∼N
B) ∼P ⊃ O
C) ∼P ⊃ Q
D) ∼P ⊃ ∼R
E) ∼P ⊃ ∼S

Question

Quizplus · Accepted Answer

The Answer of 1. (N ⊃ O) ⊃ P
2. (∼N $ \lor $ O) ≡ (∼Q ⊃ R)
3. R $ \lor $ (S ⊃ Q)
-Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
A) ∼P ⊃ ∼N
B) ∼P ⊃ O
C) ∼P ⊃ Q
D) ∼P ⊃ ∼R
E) ∼P ⊃ ∼S

1 (N ⊃ O) ⊃ P 2 ∨ \lor ∨ O) ≡ (∼Q ⊃ R) 3

1 (N ⊃ O) ⊃ P
2 $\lor$ O) ≡ (∼Q ⊃ R)
3