Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.
Freeman DysonTrouble arises when either science or religion claims universal jurisdiction, when either religious dogma or scientific dogma claims to be infallible. Religious creationists and scientific materialists are equally dogmatic and insensitive. By their arrogance they bring both science and religion into disrepute.
Freeman DysonTo me, mathematics is like playing the violin. Some people can do it - others can't. If you don't have it, then there's no point in pretending.
Freeman DysonMostly I'm just writing books for the public, and so I try to describe for the public what the choices are, what they might have to expect in the future and so by warning people ahead of time maybe you have an effect.
Freeman DysonThe Ph.D. system was designed for a job in academics. And it works really well if you really want to be an academic, and the system actually works quite well. So for people who have the gift and like to go spend their lives as scholars, it's fine. But the trouble is that it's become a kind of a meal ticket - you can't get a job if you don't have a Ph.D.
Freeman Dyson