It is false that some leprechauns are Englishmen. Therefore, no leprechauns are Englishmen.
A) Invalid; existential fallacy.
B) Valid; no fallacy.
C) Invalid; illicit contradiction.
D) Invalid; illicit subalternation.
E) Invalid; illicit conversion.

Question

Quizplus · Accepted Answer

The argument is valid because it is a valid syllogism in the form of modus tollens. The first premise is the negation of the consequent, and the second premise is the affirmation of the antecedent. Therefore, the conclusion, which is the negation of the antecedent, is validly derived from the premises.

It Is False That Some Leprechauns Are Englishmen