Assume at least one student exists. Statements: 1. All students are inquisitive. 2. Some students are inquisitive. 3. No student is inquisitive. 4. Some students are not inquisitive. Which listed pair cannot both be true?
With a nonempty class, all students inquisitive and no students inquisitive contradict each other, so A cannot hold simultaneously. All implies some in B. C can describe a mixed class, and D a class with no inquisitive members. The existence assumption excludes the empty-class loophole.
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