Art gives man a reminder that he is not just a consumer but a creator as well. It awakens in him the urge to struggle and perform great deeds; it fills him with the craving to pass on the Promethean fire to generations to come.

Mathematics never reveals man to the degree, never expresses him in the way, that any other field of human endeavour does: the extent of the negation of man's corporeal self that mathematics achieves cannot be compared with anything. Whoever is interested in this subject I refer to my articles. Here I will say only that the world injected its patterns into human language at the very inception of that language; mathematics sleeps in every utterance, and can only be discovered, never invented.

We are like snails, each stuck to his own leaf.

Do not trust people. They are capable of greatness.

Man's quest for knowledge is an expanding series whose limit is infinity, but philosophy seeks to attain that limit at one blow, by a short circuit providing the certainty of complete and inalterable truth. Science meanwhile advances at its gradual pace, often slowing to a crawl, and for periods it even walks in place, but eventually it reaches the various ultimate trenches dug by philosophical thought, and, quite heedless of the fact that it is not supposed to be able to cross those final barriers to the intellect, goes right on.

Futurologists have been multiplying like flies since the day Herman Kahn made Cassandra's profession "scientific," yet somehow not one of them has come out with the clear statement that we have wholly abandoned ourselves to the mercy of technological progress. The roles are now reversed: humanity becomes, for technology, a means, an instrument for achieving a goal unknown and unknowable.

Psychoanalysis provides truth in an infantile, that is, a schoolboy fashion: we learn from it, roughly and hurriedly, things that scandalize us and thereby command our attention. It sometimes happens, and such is the case here, that a simplification touching upon the truth, but cheaply, is of no more value than a lie. Once again we are shown the demon and the angel, the beast and the god locked in Manichean embrace, and once again man has been pronounced, by himself, not culpable.