A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. Henri Poincare artistexperiencegreat Change image and share on social
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. Henri Poincare analogycapablefact 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
A small error in the former will produce an enormous error in the latter. Henri Poincare enormouserrorproduce Change image and share on social
It is through science that we prove, but through intuition that we discover. Henri Poincare discoverintuitionprove Change image and share on social
Mathematicians do not study objects, but relations between objects. Henri Poincare mathematicianobjectrelation Change image and share on social
It has adopted the geometry most advantageous to the species or, in other words, the most convenient. Henri Poincare adoptadvantageousconvenient Change image and share on social
One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics. Henri Poincare completelyconstantdesire share on social
Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination. Henri Poincare cloudcollidecombination Change image and share on social
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence. Henri Poincare absoluteearthexistence Change image and share on social