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

Technological possibilities are irresistible to man. If man can go to the moon, he will. If he can control the climate, he will.

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.

There is no point in being precise if you do not even know what you are talking about.

Truth is much too complicated to allow anything but approximations.

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

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