Just as houses are made of stones, so is science made of facts.
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Geometry is the art of correct reasoning from incorrectly drawn figures.
Intuition is more important to discovery than logic.
Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
Mathematicians do not study objects, but relations among objects; they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.