Final answer:
Applying Modus Ponens to the first two premises results in concluding that S is true, as indicated by option c. Therefore, the correct answer is ~S, which follows directly from the premises.
Step-by-step explanation:
The question asks us to select the conclusion that correctly follows in a single step from the given premises. We have three given premise statements and several possible conclusions. To solve the problem, we must apply valid forms of deductive reasoning to the premises to arrive at the correct conclusion.
Understanding the Logical Relations
Modus Ponens (MP): If P implies Q (P > Q), and P is true, then Q must be true.
Disjunctive Syllogism (DS): If we have P or Q (P ∨ Q), and ~P (not P) is true, then Q must be true.
For the premises given in this problem:
Premise 1: ~M ⊃ S (If not M, then S)
Premise 2: ~M (Not M is true)
Premise 3: (M ∨ H) ∨ ~S (M or H, or not S)
By applying Modus Ponens to premises 1 and 2, we can conclude that S is true, which is represented by conclusion option c. Therefore, the correct conclusion from the premises provided is ~S.