“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.”

“Ignorance more frequently begets confidence than does knowledge: it is those who know little, not those who know much, who so positively assert that this or that problem will never be solved by science.”

“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.”

“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.”

“To oppose knowledge is ignorant, and he who detests knowledge and science is not a man, but rather an animal without intelligence. For knowledge is light, life, felicity, perfection, beauty and the means of approaching the Threshold of Unity. It is the honor and glory of the world of humanity, and the greatest bounty of God. Knowledge is identical with guidance, and ignorance is real error”

“If the history-deniers who doubt the fact of evolution are ignorant of biology, those who think the world began less than ten thousand years ago are worst than ignorant, they are the deluded to the point of perversity.”