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 gorgeous 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 highest excellence, is to be found in mathematics as surely as in poetry. What is best in mathematics deserves not merely to be learnt as a task, but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.

I must, before I die, find some way to say the essential thing that is in me, that I have never said yet — a thing that is not love or hate or pity or scorn, but the very breath of life, fierce and coming from far away, bringing into human life the vastness and the fearful passionless force of non-human things.

Owing to the identification of religion with virtue, together with the fact that the most religious men are not the most intelligent, a religious education gives courage to the stupid to resist the authority of educated men, as has happened, for example, where the teaching of evolution has been made illegal. So far as I can remember, there is not one word in the Gospels in praise of intelligence; and in this respect ministers of religion follow gospel authority more closely than in some others.

Man is essentially a dreamer, wakened sometimes for a moment by some peculiarly obtrusive element in the outer world, but lapsing again quickly into the happy somnolence of imagination. Freud has shown how largely our dreams at night are the pictured fulfilment of our wishes; he has, with an equal measure of truth, said the same of day-dreams; and he might have included the day-dreams which we call beliefs.

I cannot believe – and I say this with all the emphasis of which I am capable – that there can ever be any good excuse for refusing to face the evidence in favour of something unwelcome. It is not by delusion, however exalted, that mankind can prosper, but only by unswerving courage in the pursuit of truth.