B ⊃ ∼Q Q
∼B
A) Modus ponens.
B) Modus tollens.
C) Disjunctive syllogism.
D) Invalid.
E) Denying the antecedent.

Question

Quizplus · Accepted Answer

This argument consists of two premises and no conclusion. We need to determine what follows from the premises.

The first premise is a conditional statement: "If B, then not Q." This can also be written as "B implies not Q."

The second premise is the negation of B: "Not B."

From these two premises, we can use modus tollens to conclude that not Q.

Modus tollens says that if we have a conditional statement ("if A, then B") and we know that B is false (not-B), then we can conclude that A must also be false (not-A).

Applied to this argument, modus tollens tells us that since "if B, then not Q" and "not B", then we can conclude "not Q."

Therefore, the best choice is B.