fails to recognize that one set might have some members in common with each of two others even though those two other sets have
Why this is right
This is a historically funny-hard answer. It's normal to think, "Wha?" on a first pass, but it's 170 behavior to defer on a confusing answer rather than eliminating it just because we don't understand it. Given that our complaint with the argument was something like, "Heyyyy --- you can't prove an overlap between east wind and unsafe smog!", it should somewhat please us to see that this answer is talking about whether or not two sets overlap. What it's saying is that we can have one set, which is the set of "Hot Days in Hillview": {July 15, 19, 22, 30, Aug 1, 3, 9, 14, 20, 25} It has some member in common with two other sets. Here's the set of "Eastern wind days in Hillview": {July 19, 20, 21, Aug 3, 4, 20, 21} Here's the set of "Unsafe Smog days in Hillview": {July 4, 15, Aug 9, 10} We can see that some hot days had unsafe smog: July 15 and Aug 9 Some hot days had wind from the east: July 19, Aug 3, and Aug 20 But there are no dates in common between the set of "unsafe smog" days and the set of "eastern wind" days. In other words, they don't have to overlap.
Skill tested: Flaw · how this choice captures the argument's function is the move to repeat next time.