“One can be enlightened about proofs as well as theorems. Without enlightenment, one is merely reduced to memorizing proofs. With enlightenment about a proof, its flow becomes clear and it can become an item of astonishing beauty. In addition, the need to memorize disappears because the proof has become part of your soul.”

“It is an unfortunate fact that proofs can be very misleading. Proofs exist to establish once and for all, according to very high standards, that certain mathematical statements are irrefutable facts. What is unfortunate about this is that a proof, in spite of the fact that it is perfectly correct, does not in any way have to be enlightening. Thus, mathematicians, and mathematics students, are faced with two problems: the generation of proofs, and the generation of internal enlightenment. To understand a theorem requires enlightenment. If one has enlightenment, one knows in one's soul why a particular theorem must be true.”

“Skepticism has become a virtue. Cynicism and demand for proof has become enlightened thought. Is it any wonder that humans now feel more depressed and defeated than they have at any point in human history?”

“Songs of myselfClear and sweet is my soul, and clear and sweet is all that is not my soul. Lack one lacks both, and the unseen is proved by the seen, Till that becomes unseen and receives proof in its turn.”

“I don't know. A proof is a proof. What kind of a proof? It's a proof. A proof is a proof, and when you have a good proof, it's because it's proven.”

“Enlightenment is not about becoming divine. Instead it's about becoming more fully human. . . . It is the end of ignorance.”