I, Mathematician 评价人数不足
读书笔记 Through a Glass Darkly
If you are at a cocktail party and announce that you don’t like art, or don’t like music, people are liable to conclude that you are some sort of philistine. If instead you announce that you don’t like mathematics, people will conclude that you are a regular guy. (If you choose to announce that you do like mathematics, people are liable to get up and walk away.)
Put in slightly different terms: You can get a long way in the basic material just by being smart. Not so much effort or discipline is required. And this may explain why so many truly brilliant people get left in the dust. They reach a point where some real Sitzfleisch and true effort are required, and they are simply not up to it. They have never had to expend such disciplined study before, so why start now?
I do still believe that rigor is a relative notion, not an absolute one. It depends on the background readers have and are expected to use in their judgment. —Rene Thom

I once heard Fields Medalist Charles Fefferman give a lecture (to a mixed audience of mathematicians and physicists) about the existence of matter. In those days Fefferman’s goal was to prove the existence of matter from first principles—in an axiomatic fashion. I thought that this was a fascinating quest, and I think that some of the other mathematicians in the audience agreed with me. But at some point during the talk a frustrated physicist jumped up and shouted, “Why do you need to do this? All you have to do is look out the window to see that matter exists!”
《I, Mathematician》的全部笔记 11篇
免费下载 iOS / Android 版客户端