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The easiest of your hypotheses to examine is 1: can you describe (suitably anonymized, of course) three* of these stupid math wizzes and the evidence you used to infer their stupidity?
* I picked "three" because more would be (a) a pain and (b) too many for a comment.
Of course the problem is the most memorable examples are also the easiest cases.
1: Dogmatic catholic, knew for a long time without ever witnessing her doing anything clever.
2: As a nuclear physicist I assume this guy is considerably better at math than I am. But this is probably bad evidence as I only know about him because he is so stupid. But there appear to be quite a few scientists and engineers that hold superstiti... (read more)