Question

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

Given the following premises:
1. (S • ∼J) ∨ (∼S • ∼∼J)
2. S ∨ ∼S
3. ∼J ⊃ P
a. J ∨ P 3, Impl
b. S ≡ ∼J 1, Equiv
c. S 2, Taut
d. ∼J ∨ ∼∼J 1, 2, CD

Answer 1

The given argument can be put into logical form using the disjunctive syllogism.

Step-by-step explanation:

The given argument can be put into logical form using the disjunctive syllogism.

1. Premise 1: (S • ∼J) ∨ (∼S • ∼∼J)
2. Premise 2: S ∨ ∼S
3. Premise 3: ∼J ⊃ Pa
4. Conclusion: J ∨ P (3, Impl)
5. S ≡ ∼J (1, Equiv)
6. S (2, Taut)
7. ∼J ∨ ∼∼J (1, 2, CD)