失败不是必要的恶。事实上,它根本不是恶。它是做新事物的必然结果。
Failure isn’t a necessary evil. In fact, it isn’t evil at all. It is a necessary consequence of doing something new.
人类追求知识的欲望源于对宇宙之谜的好奇心。
我没有任何特别的秘诀(用于开发新的证明)……这就是为什么做研究既具有挑战性又具有吸引力的原因。这就像在丛林中迷路,试图利用你能收集到的所有知识来想出一些新的技巧,并且如果运气好的话,你可能会找到出路。
I don't have any particular recipe [for developing new proofs] ... It is the reason why doing research is challenging as well as attractive. It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.
"The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'"
I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.
The study of L-functions is a reflection of the unity of mathematical knowledge.