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

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

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

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.

Kurt Godel's achievement in modern logic is singular and monumental - indeed it is more than a monument, it is a landmark which will remain visible far in space and time. ... The subject of logic has certainly completely changed its nature and possibilities with Godel's achievement.

It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity with running it, with using it, before one has assimilated it in an instinctive and empirical way... Thus any discussion of the nature of intellectual effort in any field is difficult, unless it presupposes an easy, routine familiarity with that field. In mathematics this limitation becomes very severe.

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