Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.

Thinking consists in envisaging, realizing structural features and structural requirements.

坚毅的人把成就视为马拉松；他或她的优势是耐力。

I think that’s the single best piece of advice: constantly think about how you could be doing things better and questioning yourself.

The world is independent of my will.