6 Quotes by Jacques Hadamard

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

Logic merely sanctions the conquests of the intuition.

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

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

To parents who despair because their children are unable to master the first problems in arithmetic I can dedicate my examples. For, in arithmetic, until the seventh grade I was last or nearly last.

One phenomenon is certain and I can vouch for its absolute certainty: the sudden and immediate appearance of a solution at the very moment of sudden awakening. On being very abruptly awakened by an external noise, a solution long searched for appeared to me at once without the slightest instant of reflection on my part-the fact was remarkable enough to have struck me unforgettably-and in a quite different direction from any of those which I had previously tried to follow.