"Killing an enemy in a modern war is a very expensive operation... It is obvious that modern war is not good business from a financial point of view. Although we won both the world wars, we should now be much richer if they had not occured. If men were actuated by self-interest, which they are not – except in the case of a few saints – the whole human race would cooperate. There would be no more wars, no more armies, no more navies, no more atom bombs. There would not be armies of propagandists employed in poisoning the minds of Nation A against Nation B, and reciprocally of Nation B against Nation A. There would not be armies of officials at frontiers to prevent the entry of foreign books and foreign ideas, however excellent in themselves. There would not be customs barriers to ensure the existence of many small enterprises where one big enterprise would be more economic. All this would happen very quickly if men desired their own happiness as ardently as they desired the misery of their neighbors. But, you will tell me, what is the use of these utopian dreams? Moralists will see to it that we do not become wholly selfish, and until we do the millennium will be impossible."

“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.”

“If you think that your belief is based upon reason, you will support it by argument, rather than by persecution, and will abandon it if the argument goes against you. But if your belief is based on faith, you will realize that argument is useless, and will therefore resort to force either in the form of persecution or by stunting and distorting the minds of the young in what is called "education". This last is particularly dastardly, since it takes advantage of the defencelessness of immature minds. Unfortunately it is practiced in greater or less degree in the schools of every civilised country.”