“Every person wishes to know of the proposals, the learned, and the ignorant. The learned understands the work proposed-he understands at least something, partly, or fully-but the ignorant and inexperienced understand nothing, not even when things are explained to them. Their ignorance moves them promptly to anger. They remain in ignorance because they want to show themselves learned, which they are not, and they move the other ignorant crowd to insistence on its own poor waysand to scorn for those who know.”

“The learned man understands the ignorant for he was once ignorant himself. The ignorant man does not understand the learned for he has never been learned himself.”

“The more one learns, the more he understands his ignorance.”

“How I hate ignorance! Caliban’s ignorance, my ignorance, the world’s ignorance! Oh, I could learn and learn and learn and learn. I could cry, I want to learn so much.”

“Neglect of mathematics work injury to all knowledge, since he who is ignorant of it cannot know the other sciences or things of this world. And what is worst, those who are thus ignorant are unable to perceive their own ignorance, and so do not seek a remedy.”

“The world is a good judge of things, for it is in natural ignorance, which is man's true state. The sciences have two extremes which meet. The first is the pure natural ignorance in which all men find themselves at birth. The other extreme is that reached by great intellects, who, having run through all that men can know, find they know nothing, and come back again to that same ignorance from which they set out; but this is a learned ignorance which is conscious of itself. Those between the two, who have departed from natural ignorance and not been able to reach the other, have some smattering of this vain knowledge and pretend to be wise. These trouble the world and are bad judges of everything. The people and the wise constitute the world; these despise it, and are despised. They judge badly of everything, and the world judges rightly of them.”