“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.”

“Most men unconsciously judge the world from themselves, and it will be very generally found that those who sneer habitually at human nature, and affect to despise it, are among its worst and least pleasant samples.”

“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 evil in the world comes almost always from ignorance, and goodwill can cause as much damage as ill-will if it is not enlightened. People are more often good than bad, though in fact that is not the question. But they are more or less ignorant and this is what one calls vice or virtue, the most appalling vice being the ignorance that thinks it knows everything and which consequently authorizes itself to kill. The murderer's soul is blind, and there is no true goodness or fine love without the greatest possible degree of clear-sightedness.”

“For as there are misanthropists, or haters of men, there are also misologists, or haters of ideas, and both spring from the same cause, which is ignorance of the world.”

“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.”