Henri poincare

To invent is to discern, to choose.

No more than these machines need the mathematician know what he does.

Facts do not speak.

Just as houses are made of stones, so is science made of facts.

The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law.

Thus, they are free to replace some objects by others so long as the relations remain unchanged.

Science is facts.

Need we add that mathematicians themselves are not infallible?

The mind uses its faculty for creativity only when experience forces it to do so.

If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws.