What is the difference between a Turing machine and the modern computer? It's the same as that between Hillary's ascent of Everest and the establishment of a Hilton hotel on its peak.
图灵机和现代计算机之间有什么区别?这与希拉里(Hillary)登上珠穆朗玛峰(Everest)和在高峰期建立希尔顿酒店之间的过程相同。
What I think I've been talking about really is success and failure. And one of the interesting things about success is that we think we know what it means. If I said that there's somebody behind the screen who's very successful, certain ideas would immediately come to mind. You'd think that person might have made a lot of money, achieved renown in some field. My own theory of success -- I'm somebody who's very interested in success, I really want to be successful, always thinking, how can I be more successful? But as I get older, I'm also very nuanced about what that word "success" might mean.
When you live for others' opinions, you are dead.
Mathematics is not just about numbers, equations, computations, or algorithms: it is about understanding.
真相很少是纯粹的,也从来不简单。