“What is the proper justification of a mathematician’s life? My answers will be, for the most part, such as are expected from a mathematician: I think that it is worthwhile, that there is ample justification. But I should say at once that my defense of mathematics will be a defense of myself, and that my apology is bound to be to some extent egotistical. I should not think it worth while to apologize for my subject if I regarded myself as one of its failures. Some egotism of this sort is inevitable, and I do not feel that it really needs justification. Good work is no done by "humble" men. It is one of the first duties of a professor, for example, in any subject, to exaggerate a little both the importance of his subject and his own importance in it. A man who is always asking "Is what I do worth while?" and "Am I the right person to do it?" will always be ineffective himself and a discouragement to others. He must shut his eyes a little and think a little more of his subject and himself than they deserve. This is not too difficult: it is harder not to make his subject and himself ridiculous by shutting his eyes too tightly.”

“You both think I know not what,' said I. 'Have the goodness to make me as little the subject of your mutual talk and thoughts as possible. I have my own sort of life apart from yours.”

“Not long since, a strolling Indian went to sell baskets at the house of a well-known lawyer in my neighborhood. “Do you wish to buy any baskets?” he asked. “No, we do not want any,” was the reply. “What!” exclaimed the Indian as he went out the gate, “do you mean to starve us?” Having seen his industrious white neighbors so well off—that the lawyer had only to weave arguments, and, by some magic, wealth and standing followed—he had said to himself: I will go into business; I will weave baskets; it is a thing which I can do. Thinking that when he had made the baskets he would have done his part, and then it would be the white man’s to buy them. He had not discovered that it was necessary for him to make it worth the other’s while to buy them, or at least make him think that it was so, or to make something else which it would be worth his while to buy.I too had woven a kind of basket of a delicate texture, but I had not made it worth any one’s while to buy them. Yet not the less, in my case, did I think it worth my while to weave them, and instead of studying how to make it worth men’s while to buy my baskets, I studied rather how to avoid the necessity of selling them. The life which men praise and regard as successful is but one kind. Why should we exaggerate any one kind at the expense of the others?”

“I have no right to say or do anything that diminishes a man in his own eyes. What matters is not what I think of him but what he thinks of himself. Hurting a man in his dignity is a crime.”

“I need a boy who thinks with his big head, not his little one. Since they do not exist, I have fashioned my own.”

“My writing, on the other hand, is always done with my readers in mind. I never write for my own amusement. I always try to put across an idea that I feel is important, in the most easily readable form I can manage. This has annoyed some of my academic colleagues, who feel that I am oversimplifying my subject, but I argue that at least my writings are widely read, while theirs stay firmly within the confines of their academic ivory towers. And I always work with one special rule in mind: simplification without distortion. This is, in fact, much harder than the usual self-indulgent academic writing.”