Asked if he believes in one G-d, a mathematician answered: "Yes, up to isomorphism".

A chess problem is simply an exercise in pure mathematics.

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

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

If intellectual curiosity, professional pride, and ambition are the dominant incentives to research, then assuredly no one has a fairer chance of gratifying them than a mathematician.

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

Beauty is the first test: there is no permanent place in the world for ugly mathematics.