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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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Intuition is more important to discovery than logic.
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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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It is a misfortune for a science to be born too late when the means of observation have become too perfect. That is what is happening at this moment with respect to physical chemistry the founders are hampered in their general grasp by third and fourth decimal places.
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If we ought not to fear mortal truth, still less should we dread scientific truth. In the first place it can not conflict with ethics? But if science is feared, it is above all because it can give no happiness? Man, then, can not be happy through science but today he can much less be happy without it.
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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
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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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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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But for harmony beautiful to contemplate, science would not be worth following.
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All of mathematics is a tale about groups.
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Les faits ne parlent pas. Facts do not speak.
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All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.
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Mathematicians are born, not made.
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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
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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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Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
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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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How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
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It is far better to foresee even without certainty than not to foresee at all.
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Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
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