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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.

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
Mind
Incapable
Sane
Logical
Mathematical
Guilty
Following
Demonstrations
Minds
Fallacy
Fine
Demonstration

More quotes by Henri Poincare

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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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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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How is error possible in mathematics?
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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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Intuition is more important to discovery than logic.
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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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Les faits ne parlent pas. Facts do not speak.
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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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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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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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What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
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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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Every good mathematician should also be a good chess player and vice versa.
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Mathematicians do not study objects, but relations among objects they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.
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Science is built up with facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
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Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
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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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All of mathematics is a tale about groups.
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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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