The conjectures of the Langlands program are not merely problems to be solved but a vision of how mathematics should be.
朗兰兹纲领的猜想不仅仅是待解决的问题,而是关于数学应该如何的愿景。
I'm drawn to a lovely quote by St. Augustine in "The City of God," where he says, "It's a sin to judge any man by his post." In modern English that would mean it's a sinto come to any view of who you should talk to, dependent on their business card. It's not the post that should count. According to St. Augustine, only God can really put everybody in their place; he's going to do that on the Day of Judgment, with angels and trumpets, and the skies will open. Insane idea, if you're a secularist person, like me. But something very valuable in that idea, nevertheless.
人工智能的未来取决于无监督学习。
To create is to live twice.
The same principles which at first view lead to skepticism, pursued to a certain point, bring men back to common sense.