No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world.

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

For any serious purpose, intelligence is a very minor gift.

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

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

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

Good work is not done by 'humble' men