You don't have to be responsible for the world that you're in.

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.

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

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

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.

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

Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin.