Correct option is D
(B) Althea is two years old. So, Althea probably goes to college: This statement assumes that being two years old is a logical reason to go to college, which is irrelevant and incorrect. The premise does not logically lead to the conclusion.
(D) Marty is a high-school senior. So, Marty likely has a Ph.D.: Being in high school has no relevance to having a Ph.D., so this is a flawed inference. It assumes a connection between being a high school senior and holding a Ph.D., which is not logically valid.
Information Booster:
A fallacy of relevance occurs when the premise of an argument does not logically support the conclusion.
The argument in (B) commits a non-sequitur, where the conclusion does not logically follow from the premise.
The argument in (D) makes an illogical leap, assuming that being a high-school senior directly implies having a Ph.D.
Fallacies of relevance are typically seen when an argument involves conclusions that do not follow from the premises, as seen in these examples.
Critical thinking involves identifying when an argument presents conclusions based on irrelevant or faulty premises.
Recognizing these fallacies is important in evaluating arguments and preventing faulty reasoning in discussions.
Additional Information:
(A): The statement about dogs being felines is a logical fallacy (false analogy), but it is an example of invalid comparison rather than a fallacy of relevance.
(C): The statement about Chris being a woman and enjoying knitting is a stereotypical fallacy, where the conclusion is irrelevant because of an incorrect assumption based on gender.
(E): The statement about dogs having five legs is based on a false premise rather than a fallacy of relevance.