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.

... Philosophy proper is a subject, on the one hand so hopelessly obscure, on the other so astonishingly elementary, that there knowledge hardly counts.

The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation.

Real mathematics must be justified as art if it can be justified at all.

I am interested in mathematics only as a creative art.

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.

As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.