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The beauty of mathematics lies in its ability to reveal hidden symmetries and truths.

解決問題的最好方法就是找到一種讓它變得無關緊要的方法。

【大意】太陽不知道黑夜的情況，月亮不了解白晝的景象，太陽與月亮都有光亮可以照明，卻不能兼知黑夜與白晝的情景。

I'm not afraid of the future; I'm afraid of the past.

The architect must be a poet.

The use of a program to prove the 4-color theorem will not change mathematics - it merely demonstrates that the theorem, a challenge for a century, is probably not important to mathematics.

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