释义：人生常面临方向选择，每个方向似乎都有不同诱惑，让我们徘徊不定。

The writer must believe that what he is doing is the most important thing in the world. And he must hold to this illusion even when he knows it is not true.

只要不放弃，梦想终会实现。

The Langlands correspondence is not just a theorem but a guiding principle for future discoveries.

音乐是灵魂隐藏的算术练习，它不知道自己正在与数字打交道。

A proof is a device for convincing someone else that a mathematical statement is true.

You don't have to be a genius or a visionary or even a college graduate to be successful. You just need a framework and a dream.

Don't be afraid to ask questions. That's how you learn.

"Memory is a strange thing, it doesn't work like I thought it did. We are so used to thinking of it as a camera or a tape recorder, but it's not like that at all. It's more like a painter, who adds and subtracts elements according to his own rules."