A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
Hypotheses are what we lack the least.
Thought is only a flash between two long nights, but this flash is everything.
Point set topology is a disease from which the human race will soon recover.
Mathematicians do not deal in objects, but in relations between objects; thus, they are free to replace some objects by others so long as the relations remain unchanged. Content to them is irrelevant: they are interested in form only.