To abandon the struggle for private happiness, to expel all eagerness of temporary desire, to burn with passion for eternal things-this is emancipation, and this is the free man's worship... United with his fellow men by the strongest of all ties, the tie of a common doom, the free man finds that a new vision is with him always, shedding over every daily task the light of love.

Mathematics, rightly viewed, possesses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the georgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.

The man who suffers from a sense of sin is suffering from a particular kind of self-love. In all this vast universe the thing that appears to him of most importance is that he himself should be virtuous. It is a grave defect in certain forms of traditional religion that they have encouraged this particular kind of self-absorption.

Man is a rational animal—so at least I have been told. … Aristotle, so far as I know, was the first man to proclaim explicitly that man is a rational animal. His reason for this view was … that some people can do sums. … It is in virtue of the intellect that man is a rational animal. The intellect is shown in various ways, but most emphatically by mastery of arithmetic. The Greek system of numerals was very bad, so that the multiplication table was quite difficult, and complicated calculations could only be made by very clever people.

From the height of their disillusionment they look down upon those whom they despise as simple souls. For my part I have no sympathy with this outlook. All disenchantment is to me a malady, which, it is true, certain circumstances may render inevitable, but which none the less, when it occurs, is to be cured as soon as possible, not to be regarded as a higher form of wisdom.

All the time that he can spare from the adornment of his person, he devotes to the neglect of his duties.

When we perceive any object of a familiar kind, much of what appears subjectively to be immediately given is really derived from past experience.