In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?
Options:
(A) Every Fields medalist has won a medal in an International Mathematics Olympiad.
(B) Everyone who has dropped out of college has won the Fields medal.
(C) All Fields medalists are part-time poets.
(D) Some Fields medalists have dropped out of college.
Official Answer Key:
D
Step-by-Step Solution & Explanation
The passage gives facts about exactly one person (June Huh): he won the Fields medal AND he dropped out of college. This directly establishes that at least one Fields medalist has dropped out of college — i.e., “some Fields medalists have dropped out of college”. Options (A), (B) and (C) are universal (“every/all/everyone”) generalizations drawn from a single example, which is a logical fallacy (hasty generalization) — a single instance cannot establish a universal claim. Answer: (D).
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