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.

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

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.

Really, one of us ought to have the courage to call the experiment off and shoulder the responsibility for the decision, but the majority reckons that that kind of courage would be a sign of cowardice, and the first step in a retreat. They think it would mean an undignified surrender for mankind as if there was any dignity in floundering and drowning in what we don't understand and never will.

And yet we knew, for a certainty, that when first emissaries of Earth went walking among the planets, Earth's other sons would be dreaming not about such expeditions but about a piece of bread.

I see a poem as a multi-coloured strip behind peeling plaster, in separate, shining fragments.

A specialist is a barbarian whose ignorance is not well-rounded.