“Equally unthinkable among young men of today is a truly religious renunciation of the world, adhered to with daily self-denial. On the other hand almost any theological student is capable of something far more wonderful. He could found a society with the sole object of saving all those who are lost. The age of great and good actions is past, the present is the age of anticipation when even recognition is received in advance.”

“The essence of a religious approach to the world, it seems to me, is to be found, not in the imposition of theological dogma, but in the recognition of what is actually there.”

“A revolutionary age is an age of action; ours is the age of advertisement and publicity. Nothing ever happens but there is immediate publicity everywhere. In the present age a rebellion is, of all things, the most unthinkable. Such an expression of strength would seem ridiculous to the calculating intelligence of our times. On the other hand a political virtuoso might bring off a feat almost as remarkable. He might write a manifesto suggesting a general assembly at which people should decide upon a rebellion, and it would be so carefully worded that even the censor would let it pass. At the meeting itself he would be able to create the impression that his audience had rebelled, after which they would all go quietly home--having spent a very pleasant evening.”

“I had better say something here about this question of age, since it is particularly important for mathematicians. No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game. To take a simple illustration at a comparatively humble level, the average age of election to the Royal Society is lowest in mathematics. We can naturally find much more striking illustrations. We may consider, for example, the career of a man who was certainly one of the world's three greatest mathematicians. Newton gave up mathematics at fifty, and had lost his enthusiasm long before; he had recognized no doubt by the time he was forty that his greatest creative days were over. His greatest idea of all, fluxions and the law of gravitation, came to him about 1666 , when he was twentyfour—'in those days I was in the prime of my age for invention, and minded mathematics and philosophy more than at any time since'. He made big discoveries until he was nearly forty (the 'elliptic orbit' at thirty-seven), but after that he did little but polish and perfect.Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. There have been men who have done great work a good deal later; Gauss's great memoir on differential geometry was published when he was fifty (though he had had the fundamental ideas ten years before). I do not know an instance of a major mathematical advance initiated by a man past fifty. If a man of mature age loses interest in and abandons mathematics, the loss is not likely to be very serious either for mathematics or for himself.”

“Later, with time, I learned that although all men are capable of good and evil, the worst among them are those who, when they commit evil, do so by shielding themselves in the authority of others, in their subordination, or in the excuse of following orders. And even worse are those who believe they are justified by their God.”

“This was something he'd done a great deal of when he was very young, so young the memory was washed to sepia with age.”