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Physicists believe that the Gaussian law has been proved in mathematics while mathematicians think that it was experimentally established in physics.

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How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they a...more

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If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

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The philosophers make still another objection: "What you gain in rigour," they say, "you lose in objectivity. You can rise toward your logical ideal o...more

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Pure analysis puts at our disposal a multitude of procedures whose infallibility it guarantees; it opens to us a thousand different ways on which we c...more