"For a long time the objects that mathematicians……" — Henri Poincare
"For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them with the senses and imagination; but one had but a rough picture and not a precise idea on which reasoning could take hold."
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Henri Poincare
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107 Quotes by Henri Poincare
Henri Poincare has 107 quotes on this site.
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Consider now the Milky Way. Here also we see an innumerable dust, only the grains of this dust are no…
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Why is it that showers and even storms seem to come by chance, so that many people think it quite…
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It is by logic we prove. It is by intuition we discover.
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In one word, to draw the rule from experience, one must generalize; this is a necessity that imposes itself on…
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It is a misfortune for a science to be born too late when the means of observation have become too…
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Every phenomenon, however trifling it be, has a cause, and a mind infinitely powerful, and infinitely well-informed concerning the laws…
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Tolstoi explains somewhere in his writings why, in his opinion, "Science for Science's sake" is an absurd conception. We cannot…
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I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the…
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It is often said that experiments should be made without preconceived ideas. That is impossible. Not only would it make…
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Mathematicians do not study objects, but relations between objects.
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What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
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It is far better to foresee even without certainty than not to foresee at all.
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