The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.

The race that does not value trained intelligence is doomed.

I put forward as a general definition of civilization, that a civilized society is exhibiting the five qualities of Truth, Beauty, Adventure, Art, Peace.

Every intellectual revolution which has ever stirred humanity into greatness has been a passionate protest against inert ideas. Then, alas, with pathetic ignorance of human psychology, it has proceeded by some educational scheme to bind humanity afresh with inert ideas of its own fashioning.

The defense of morals is the battle-cry which best rallies stupidity against change.

In a living civilization there is always an element of unrest, for sensitiveness to ideas means curiosity, adventure, change. Civilized order survives on its merits and is transformed by its power of recognizing its imperfections.

The worship of God is not a rule of safety - it is an adventure of the spirit, a flight after the unattainable.