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Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.

Henri Poincare

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Henri Poincare
Age: 58 †
Born: 1854
Born: April 29
Died: 1912
Died: July 17
Astronomer
Engineer
Mathematician
Philosopher
Philosopher Of Science
Physicist
Researcher
Topologist
University Teacher
Le Cateau
Jules Henri Poincaré
Poincaré
Henri Poincare
Jules Henri Poincare
Poincare
Alone
Tautology
Science
Logic
Anything
Issue
Nothing
Scientist
Never
Lead
Pure
Issues
Create

More quotes by Henri Poincare

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Mathematicians are born, not made.
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Mathematical discoveries, small or great are never born of spontaneous generation.
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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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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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Mathematics is the art of giving the same name to different things.
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But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
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All of mathematics is a tale about groups.
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I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with non-Euclidean geometry.
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When the physicists ask us for the solution of a problem, it is not drudgery that they impose on us, on the contrary, it is us who owe them thanks.
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The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.
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Logic sometimes makes monsters. For half a century we have seen a mass of bizarre functions which appear to be forced to resemble as little as possible honest functions which serve some purpose.
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One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.
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Just as houses are made of stones, so is science made of facts.
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...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know
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It is far better to foresee even without certainty than not to foresee at all.
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A reality completely independent of the spirit that conceives it, sees it, or feels it, is an impossibility. A world so external as that, even if it existed, would be forever inaccessible to us.
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One geometry cannot be more true than another it can only be more convenient.
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Thought is only a flash between two long nights, but this flash is everything.
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Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
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Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
Henri Poincare