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- TL;DR Summary
- As a student of the Princeton physics department, he used to challenge the students of the math department: "I bet there isn't a single theorem that you can tell me what the assumptions are and what the theorem is in terms I can understand where I can't tell you right away whether it's true or false."

Fun question on mathoverflow:

How would you have answered Richard Feynman's challenge?

How would you have answered Richard Feynman's challenge?