You could live without the opera singer, but not without the services of the baker. On this ground you might say that the baker performs a greater service; but no lover of music would agree.

Thomas Aquinas states parenthetically, as something entirely obvious, that men are more rational than women. For my part, I see no evidence of this.

The man who only loves beautiful things is dreaming, whereas the man who knows absolute beauty is wide awake.

Of these austerer virtues the love of truth is the chief, and in mathematics, more than elsewhere, the love of truth may find encouragement for waning faith. Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.

What we cannot think we cannot think, therefore we also cannot say what we cannot think.

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.

The human race may well become extinct before the end of the century. Speaking as a mathematician, I should say the odds are about three to one against survival.