"It is not to be supposed that young men and women who are busy acquiring valuable specialized knowledge can spare a great deal of time for the study of philosophy, but even in the time that can easily be spared without injury to the learning of technical skills, philosophy can give certain things that will greatly increase the student's value as a human being and as a citizen. It can give a habit of exact and careful thought, not only in mathematics and science, but in questions of large practical import. It can give an impersonal breadth and scope to the conception of the ends of life. It can give to the individual a just measure of himself in relation to society, of man in the present to man in the past and in the future, and of the whole history of man in relation to the astronomical cosmos. By enlarging the objects of his thoughts it supplies an antidote to the anxieties and anguish of the present, and makes possible the nearest approach to serenity that is available to a sensitive mind in our tortured and uncertain world."

“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.”

“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.”

“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.”

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