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.

Mathematics is not a contemplative but a creative subject.

It is rather astonishing how little practical value scientific knowledge has for ordinary men, how dull and commonplace such of it as has value is, and how its value seems almost to vary inversely to its reputed utility.

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

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

The public does not need to be convinced that there is something in mathematics.

There is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain.