Problems are often stated in vague terms... because it is quite uncertain what the problems really are.

With four parameters I can fit an elephant, and with five I can make him wiggle his trunk.

I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space any more.

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

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.

Problems are often stated in vague terms... because it is quite uncertain what the problems really are.

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.