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- Section 1, Question 21
Professor O'Brien: Any of my students who heard(36 more words not shown)
The conclusion of Professor O'Brien's(13 more words not shown)
- Asome of Professor(15 more words not shown)
- Bmany people who(21 more words not shown)
- Csome of Professor(17 more words not shown)
- Dno one who(18 more words not shown)
- Enot everyone who(24 more words not shown)
Reading the argument
Maybe they arrived halfway through and still found the lecture fascinating.
Hearing it from the beginning is one way O'Brien's students would have been fascinated. The professor never says it's the only way. An interested student could arrive late, hear an excellent discussion, and enjoy it just as much.
What we’re looking for
So when some students say they found the lecture fascinating, we can't work backward and conclude that they must have heard its beginning. We're looking for a possibility that exposes exactly that gap: the students could have found it fascinating without being there from the start.
Working the answers
- A
Interest in Mercado's work isn't the same as finding this lecture fascinating. Students who couldn't attend don't tell us how the students who did find it fascinating experienced the lecture. A doesn't challenge the inference about that group.
- B
The rule concerns O'Brien's students. People outside that group can hear the lecture from the beginning and find it dull without contradicting anything the professor says. Their reaction doesn't show what may have happened to the fascinated students in the argument.
- C
Late students who were not fascinated don't expose the error. We need to consider students who were fascinated despite arriving late. C describes a different group and leaves open the professor's claim about the fascinated students.
- DCorrect
This is a roundabout way to describe the possibility we wanted. Break it apart: no O'Brien student belongs to the group that both heard the beginning and found the lecture fascinating.
Now apply the first premise. Any O'Brien student who heard the beginning would have found it fascinating. Such a student would have to belong to that combined group—but D says no O'Brien student does. So, under this possibility, none of O'Brien's students heard the beginning.
We still know some of those students found the lecture fascinating. They must have done so without hearing it from the start, just as we predicted. Both premises can hold while the professor's conclusion is false.
- E
Hearing the entire lecture is different from hearing it from the beginning. A person could hear the opening and then miss a later part because of disruptions. The professor's rule doesn't require uninterrupted attendance for the whole lecture, so this possibility doesn't address the mistaken inference.
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