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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.

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
Despite
Progress
Takes
Proclaims
Place
Disparity
Two
Resemblance
Together
Apparent
Come
Sciences
Great
Substance

More quotes by Henri Poincare

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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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All of mathematics is a tale about groups.
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The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
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It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
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Just as houses are made of stones, so is science made of facts.
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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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It is the simple hypotheses of which one must be most wary because these are the ones that have the most chances of passing unnoticed.
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If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living
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Mathematical discoveries, small or great are never born of spontaneous generation.
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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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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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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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Intuition is more important to discovery than logic.
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Mathematicians do not deal in objects, but in relations between objects thus, they are free to replace some objects by others so long as the relations remain unchanged. Content to them is irrelevant: they are interested in form only.
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Every good mathematician should also be a good chess player and vice versa.
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It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.
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The mind uses its faculty for creativity only when experience forces it to do so.
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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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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
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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