Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.

Philosophy, though unable to tell us with certainty what is the true answer to the doubts which it raises, is able to suggest many possiblities which enlarge our thoughts and free them from the tyranny of custom. Thus, while diminishing our feeling of certainty as to what things are, it greatly increases our knowledge as to what the may be; it removes the somewhat arrogant dogmatism of those who have never travelled into the region of liberating doubt, and it keeps alive our sense of wonder by showing familar things in an unfamilar aspect

Mathematics rightly viewed possesses not only truth but supreme beauty.

The social psychologist of the future will have a number of classes of school children on whom they will try different methods of producing an unshakable conviction that snow is black. When the technique has been perfected, every government that has been in charge of education for more than one generation will be able to control its subjects securely without the need of armies or policemen.

Unless a man has been taught what to do with success after getting it, the achievement of it must inevitably leave him a prey to boredom.

Look at me. Look at me is one of the fundamental desires of human heart.

To conquer fear is the beginning of wisdom.