Discussion
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?
Answer: D
The only certain inference is Some Fields medalists have dropped out of college.
June Huh is a Fields medalist who dropped out of college, so at least one Fields medalist dropped out, which is all that “some” claims.
The other statements go beyond the one example. “Every Fields medalist has won an Olympiad medal” is contradicted by Huh himself, who won none. “Everyone who has dropped out of college has won the Fields medal” reverses the relationship and generalises from one person to all dropouts. “All Fields medalists are part-time poets” generalises from one medalist, who in any case was a poet when younger, not necessarily now.
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