“Mr. X is penniless. Therefore, he should be preferred for admission to…

A fallacy of relevance occurs when a premise, though psychologically persuasive, is logically irrelevant to establishing the conclusion. Among these, an argumentum ad misericordiam (appeal to pity) substitutes an emotional appeal to sympathy or compassion in place of any reason that actually bears on the point being decided.

Here, the stated premise is only that Mr. X is penniless, and from this alone the conclusion drawn is that he should be preferred for college admission. Poverty has no logical bearing on eligibility or merit for admission; the argument works only by inviting sympathy for his hardship, which is the defining structure of an appeal to pity.

Contrasted with the other named fallacies:

• Ad hominem would apply if the argument dismissed some claim of Mr. X's by attacking his character or motives rather than addressing the claim itself.

• Ad baculum would apply if the conclusion were forced through a threat of harm rather than through a reason.

• Ignoratio elenchi would apply if the reasoning proved some entirely different conclusion instead of addressing the admission question at all.

None of these structures is present here — the argument reaches the very conclusion at issue, but only by appeal to compassion for hardship. Hence, the reasoning commits the fallacy of argumentum ad misericordiam.