If you tell me precisely what it is a machine cannot do, then I can always make a machine which will do just that.

The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.

You wake me up early in the morning to tell me I am right? Please wait until I am wrong.

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

All stable processes we shall predict. All unstable processes we shall control.

By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.

Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.