“Proof must be solid break walls of facts.”

“Between a high, solid wall and an egg that breaks against it, I will always stand on the side of the egg.”

“The fact that the price must be paid is proof it is worth paying.”

“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.”

“Everything had shattered. The fact that it was all still there — the walls and the chairs and the children’s pictures on the walls — meant nothing. Every atom of it had been blasted apart and reconstituted in an instant, and its appearance of permanence and solidity was laughable; it would dissolve at a touch, for everything was suddenly tissue-thin and friable.”

“To send men to the firing squad, judicial proof is unnecessary. These procedures are an archaic bourgeois detail. This is a revolution! And a revolutionary must become a cold killing machine motivated by pure hate. We must create the pedagogy of the paredón [execution wall].”