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What Is It Like to Have an Understanding of Very Advanced Mathematics?
You can answer many seemingly difficult questions quickly. But you are not very impressed by what can look like magic, because you know the trick. The trick is that your brain can quickly decide if question is answerable by one of a few powerful general purpose "machines" (e.g., continuity arguments, the correspondences between geometric and algebraic objects, linear algebra, ways to reduce the ...
It’s a little after 1 p.m. at North Eugene High School and the lounge areas are filled with clusters of students. At one table, a group of junior and senior boys plays Magic, a complicated card game. When asked, they say they’d rather be in class. “Don’t depict us as …