3. Learn to think independently

Entrepreneurship is very difficult to teach because original thinking is very difficult to teach. School is not set up to teach this—in fact, it generally rewards the opposite. So you have to cultivate it on your own.

Thinking from first principles and trying to generate new ideas is fun, and finding people to exchang... See more

In fact, most of these comrades who I gauged to be more brilliant than I have gone on to become distinguished mathematicians. Still, from the perspective of 30 or 35 years, I can state that their imprint upon the mathematics of our time has not been very profound. They’ve all done things, often beautiful things, in a context that was already set ou

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