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

Truth is much too complicated to allow anything but approximations.

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

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

It is just as foolish to complain that people are selfish and treacherous as it is to complain that the magnetic field does not increase unless the electric field has a curl. Both are laws of nature.

Life is a process which may be abstracted from other media.

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.