"I then began to study arithmetical questions without……" — Henri Poincare
"I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternary quadratic forms are identical with those of non-Euclidian geometry."
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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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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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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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When the logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not…
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