Need we add that mathematicians themselves are not infallible? Henri Poincare addinfalliblemathematician Change image and share on social
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. Henri Poincare buildcollectionfact Change image and share on social
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. Henri Poincare approximationenablegovern Change image and share on social
To invent is to discern, to choose. Henri Poincare choosediscerninvent Change image and share on social
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. Henri Poincare balancecomprehenddetail share on social
It is far better to foresee even without certainty than not to foresee at all. Henri Poincare certaintyforesee Change image and share on social
Mathematics is the art of giving the same name to different things. Henri Poincare artgivemathematics Change image and share on social
In the old days when people invented a new function they had something useful in mind. Henri Poincare dayfunctioninvent Change image and share on social
No more than these machines need the mathematician know what he does. Henri Poincare machinemathematician Change image and share on social
Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority. Henri Poincare avoidcombinationconsist Change image and share on social