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.

Science is facts; just as houses are made of stones, so is science made of facts; but a pile of stones is not a house and a collection of facts is not necessarily science.

Hypotheses are what we lack the least.

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.