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I really believe strongly that kids should be spared the runoff of their parents' lives and problems.

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Jacques Hadamard

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

Defining, Entity, Existence, Mathematical
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The shortest path between two truths in the real domain passes through the complex domain.

Real, Math, Two, Truths, Passes

Logic merely sanctions the conquests of the intuition.

Intuition, Logic, Merely, Sanctions

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

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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