I listen only to Bach, Beethoven or Mozart. Life is too short to waste on other composers.

A heavy warning used to be given that pictures are not rigorous; this has never had its bluff called and has permanently frightened its victims into playing for safety.

I listen only to Bach, Beethoven or Mozart. Life is too short to waste on other composers.

It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely.

The first test of potential in mathematics is whether you can get anything out of geometry.

I've been giving this lecture to first-year classes for over twenty-five years. You'd think they would begin to understand it by now.

A linguist would be shocked to learn that if a set is not closed this does not mean that it is open, or again that "E is dense in E" does not mean the same thing as "E is dense in itself".