“There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning; and when they cannot it's a sign our knowledge of them is very small and confus'd; and when a Mathematical Reasoning can be had it's as great a folly to make use of any other, as to grope for a thing in the dark, when you have a Candle standing by you.”

“Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition.”

“Someone asked the other day, "Why do we go to school?" Pat, with vigorunusual in her, said, "So when we grow up we won't be stupid." Thesechildren equate stupidity with ignorance. Is this what they mean when theycall themselves stupid? Is this one of the reasons why they are so ashamed ofnot knowing something? If so, have we, perhaps un-knowingly, taught themto feel this way? We should clear up this distinction, show them that it ispossible to know very few facts, but make very good use of them.Conversely, one can know many facts and still act stupidly. The learned foolis by no means rare in this country.”

“Young man, in mathematics you don't understand things. You just get used to them.”

“It's for us that the University exists, for the dispossessed of the world; not for the students, not for the selfless pursuit of knowledge, not for any of the reasons that you hear. We give out the reasons, and we let a few of the ordinary ones in, those that would do in the world; but that's just protective coloration. Like the church in the Middle Ages, which didn't give a damn about the laity or even about God, we have our pretenses in order to survive. And we shall survive—because we have to.”

“it struck me what quality went to form a Man of Achievement, especially in Literature, and which Shakespeare possessed so enormously - I mean Negative Capability, that is, when a man is capable of being in uncertainties, mysteries, doubts, without any irritable reaching after fact and reason.”

“The first question I ask myself when something doesn't seem to be beautiful is why do I think it's not beautiful. And very shortly you discover that there is no reason.”