Chess problems are the hymn-tunes of mathematics.

Pure mathematics is on the whole distinctly more useful than applied... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

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

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

All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.

I do not know an instance of a major mathematical advance initiated by a man past fifty

A month's intelligent instruction in the theory of numbes ought to be twice as instructive, twice as useful, and at least 10 times as entertaining as the same amount of 'calculus for engineers'.