Question

Given the following premises:

1.∼E ⊃ P
2. ∼P
3. ∼(P ∨ ∼H)
Select the conclusion that follows in a single step from the given premises.
Group of answer choices
a) ∼P • ∼(P ∨ ∼H) 2, 3, Conj
b) E 1, 2, MT
c) ∼H 2, 3, DS
d) ∼P ⊃ E 1, Trans
e) ∼P • H 3, DM

Answer 1

To determine the conclusion that follows from the given premises, we can apply the logical rule of Modus Tollens to derive the conclusion ∼E.

Step-by-step explanation:

The premises given are:

1. ∼E ⊃ P
2. ∼P
3. ∼(P ∨ ∼H)

To determine the conclusion that follows, we need to apply the logical rules. By using Modus Tollens, we can derive the conclusion ∼E. Here is the step-by-step process:

1. From premise 1 (∼E ⊃ P) and premise 2 (∼P), we can use Modus Tollens to infer ∼∼E, which simplifies to E. Hence, E follows from premises 1 and 2.

Therefore, the correct answer is option b) E (1, 2, MT).