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 More Quotes by Jacques Hadamard More Quotes From Jacques Hadamard The shortest path between two truths in the real domain passes through the complex domain. Jacques Hadamard real math two Can the existence of a mathematical entity be proved without defining it ? Jacques Hadamard entity existence defining Logic merely sanctions the conquests of the intuition. Jacques Hadamard sanctions intuition logic 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. Jacques Hadamard despair parent children 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 progress math civilization