"Man, in the long ages since he descended from the trees, has passed arduously and perilously through a vast dusty desert, surrounded by the whitening bones of those who have perished by the way, maddened by hunger and thirst, by fear of wild beasts, by dread of enemies, not only living enemies, but spectres of dead rivals projected on to the dangerous world by the intensity of his own fears. At last he has emerged from the desert into a smiling land, but in the long night he has forgotten how to smile. We cannot believe in the brightness of the morning. We think it trivial and deceptive; we cling to old myths that allow us to go on living with fear and hate – above all, hate of ourselves, miserable sinners. This is folly. Man now needs for his salvation only one thing: to open his heart to joy, and leave fear to gibber through the glimmering darkness of a forgotten past. He must lift up his eyes and say: "No, I am not a miserable sinner; I am a being who, by a long and arduous road, has discovered how to make intelligence master natural obstacles, how to live in freedom and joy, at peace with myself and therefore with all mankind." This will happen if men choose joy rather than sorrow. If not, eternal death will bury man in deserved oblivion."

“It seems to me now that mathematics is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect and yet true.”

“Most people would sooner die than think; in fact, they do so.”

“The fundamental cause of the trouble is that in the modern world the stupid are cocksure while the intelligent are full of doubt.”

“I am sure that university life would be better, both intellectually and morally, if most university students had temporary childless marriages. This would afford a solution to the sexual urge neither restless nor surreptitious, neither mercenary nor casual, and of such a nature that it need not take up time which ought to be given to work.”

“For example, a man who had seen a great many white swans might argue, by our principle, that on the data it was probable that all swans were white, and this might be a perfectly sound argument. The argument is not disproved by the fact that some swans are black, because a thing may very well happen in spite of the fact that some data render it improbable. In the case of the swans, a man might know that colour is a very variable characteristic in many species of animals, and that, therefore, an induction as to colour is peculiarly liable to error. But this knowledge would be a fresh datum, by no means proving that the probability relatively to our previous data had been wrongly estimated. The fact, therefore, that things often fail to fulfill our expectations is no evidence that our expectations will not probably be fulfilled in a given case or a given class of cases. Thus our inductive principle is at any rate not capable of being disproved by an appeal to experience. The inductive principle, however, is equally incapable of being proved by an appeal to experience.”

“Mortals and Others, Volume 1 : American Essays, 1931-1935”