Henri Poincaré

Topology is the geometry of the rubber sheet.

We are all apprentices in a craft where no one ever becomes a master.

The universe is under no obligation to make sense to you.

Mathematics is not a careful march down a well-cleared path, but a journey into a strange new land.

The final truth of science is that there is no final truth.

Creativity is allowing yourself to make mistakes. Art is knowing which ones to keep.

The study of mathematics is the indispensable basis for all intellectual and professional progress.

In chaos, there is fertility.

The eye sees only what the mind is prepared to comprehend.

Happiness serves hardly any other purpose than to make unhappiness possible.

The principles of morality are the principles of science.

Feynman's lost lecture? No, Poincaré's intuition.

The solar system is a perpetual miracle.

To live is to change, and to be perfect is to have changed often.

The non-mathematician is like a blind man in a dark room looking for a black cat that isn't there.

The true worth of a race must be measured by the character of its women.

In the realm of science, all is provisional.

The spark of genius is the intuition that sees the invisible.

Mathematics is the language with which God has written the universe.

Peace cannot be kept by force; it can only be achieved by understanding.