Chess problems are the hymn-tunes of mathematics.

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.

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

[Regarding mathematics,] there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy. This may be true; indeed it is probable, since the sensational triumphs of Einstein, that stellar astronomy and atomic physics are the only sciences which stand higher in popular estimation.

Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.

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

Good work is not done by 'humble' men