Civilization advances by extending the number of important operations which we can perform without thinking of them.

Life is complex in its expression, involving more than percipience, namely desire, emotion, will, and feeling.

By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases the mental power of the race.

God is in the world, or nowhere, creating continually in us and around us. Insofar as man partakes of this creative process does he partake of the divine, of God, and that participation is his immortality.

The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. So long as you are dealing with pure mathematics, you are in the realm of complete and absolute abstraction. . . . Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.

Ninety percent of our lives is governed by emotion.

Peace is self-control at its widest-at the width where the "self" has been lost, and interest has been transferred to coordinations wider than personality.