Logic merely sanctions the conquests of the intuition.

- Jacques Hadamard

The shortest path between two truths in the real domain passes through the complex domain.

- Jacques Hadamard

Practical application is found by not looking for it, and one can say that the whole progress of civilization rests on that principle.

- Jacques Hadamard

The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.

- Jacques Hadamard

To parents who despair because their children are unable to master the first problems in arithmetic I can dedicate my examples. For, in arithmetic, u…

- Jacques Hadamard

Can the existence of a mathematical entity be proved without defining it ?

- Jacques Hadamard