If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
You insist that there is something a machine cannot do. If you tell me precisely what it is a machine cannot do, then I can always make a machine which will do just that.
Computers are like humans – they do everything except think.
Science, as well as technology, will in the near and in the farther future increasingly turn from problems of intensity, substance, and energy, to problems of structure, organization, information, and control.
There probably is a God. Many things are easier to explain if there is than if there isn’t.
There’s no sense in being precise when you don’t even know what you’re talking about.
Young man, in mathematics you don’t understand things. You just get used to them.
I would like to make a confession which may seem immoral: I do not believe in Hilbert space anymore.
When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system.
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
All stable processes we shall predict. All unstable processes we shall control.
The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert.
You don’t have to be responsible for the world that you’re in.