Question

For the following list of premises and their conclusion, after entering the conclusion in the empty field, supply the justification for deriving the conclusion from the premises. There is only one possible answer.

S ⊃ W/∼S/ S ∨ N//N

Answer 1

The conclusion N is derived from the premises S ⊃ W, ∼S, and S ∨ N using the logical principle of disjunctive syllogism.

Step-by-step explanation:

The student's question involves validating a logical argument with a series of premises and a conclusion. Given the premises S ⊃ W, ∼S, and S ∨ N, the conclusion derived can be N.

The justification for deriving this conclusion from the premises is the application of a disjunctive syllogism which is a form of valid deductive inferences.

In this case, according to disjunctive syllogism, if one has a disjunction (S ∨ N) and one of the disjuncts is negated (∼S), then the other disjunct (N) must be true.

Therefore, from the given premises, since we have ∼S (the negation of S), it leads us to conclude that N must be true, which becomes the conclusion of the argument.