It is through science that we prove, but through intuition that we discover.

Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.

An absolute can only be given in an intuition, while all the rest has to do with analysis.

Geometry is not true, it is advantageous.

Mathematics is the art of giving the same name to different things.

It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details.