A chess problem is

A chess problem is genuine mathematics, but it is in some way trivial mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-important if you like, but the word is very ambiguous, and serious expresses what … Read more

I am obliged to

I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no … Read more

The activity at this

The activity at this very moment must be the only thing that matters, to which one is fully given. If one is concentrated, it matters little what one is doing. The important, as well as the unimportant things, assume a new dimension of reality, because they have one’s full attention. Erich Fromm

There\\’s a tremendous popular

There’s a tremendous popular fallacy which holds that significant research can be carried out by trying things. Actually it is easy to show that in general no significant problem can be solved empirically, except for accidents so rare as to be statistically unimportant. One of my jests is to say that we work empirically — … Read more