Mathematics may, like poetry or music, "promote and sustain a lofty habit of mind."

I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers.

There is always more in one of Ramanujan's formulae than meets the eye, as anyone who sets to work to verify those which look the easiest will soon discover. In some the interest lies very deep, in others comparatively near the surface; but there is not one which is not curious and entertaining.

No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game

The case for my life... is this: that I have added something to knowledge, and helped others to add more

A mathematician, like a painter or a poet, is a maker of patterns.

Most people can do nothing at all well