What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
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The mind uses its faculty for creativity only when experience forces it to do so.
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Need we add that mathematicians themselves are not infallible?
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Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
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It has adopted the geometry most advantageous to the species or, in other words, the most convenient.
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Science is facts.
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A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.
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Mathematicians are born, not made.
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It is far better to foresee even without certainty than not to foresee at all.