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Artists with serious aspirations need to be left alone to follow the course of their own imagination.

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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, until the seventh grade I was last or nearly last.

Children, Despair, Parent, Problems, Unable
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The shortest path between two truths in the real domain passes through the complex domain.

Real, Math, Two, Truths, Passes

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

Defining, Entity, Existence, Mathematical

Logic merely sanctions the conquests of the intuition.

Intuition, Logic, Merely, Sanctions

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

Intuition, Statistics, Rigor, Conquests, Mathematical, Object

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

Math, Civilization, Progress, Say, Rests, Found
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