If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could pe….

I think it is said that Gauss had ten different proofs for the law of quadratic reciprocity. Any good theorem should have several proofs, the more th….

I'm not the sort of person who does my mathematics writing on paper. I do that at the last stage of the game. I do my mathematics in my head. I sit d….

If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great renaissance artists, s….

I dislike frontiers, political or intellectual, and I find that ignoring them is an essential catalyst for creative thought. Ideas should flow withou….

In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night,….

The aim of mathematics is to explain as much as possible in simple terms..

Everything useful in mathematics has been devised for a purpose. Even if you don't know it, the guy who did it first, he knew what he was doing. Bana….

Would you rather be deaf or blind?.

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the ….

There is no clear-cut distinction between example and theory.

Any good theorem should have several proofs, the more the better..

It is hard to communicate understanding because that is something you get by living with a problem for a long time. You study it, perhaps for years, ….