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Geometry is the art of correct reasoning from incorrectly drawn figures.

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
Incorrectly
Geometry
Reasoning
Drawn
Correct
Math
Figures
Art

More quotes by Henri Poincare

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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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How is error possible in mathematics?
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All of mathematics is a tale about groups.
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Mathematics is the art of giving the same name to different things.
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Geometry is not true, it is advantageous.
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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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We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
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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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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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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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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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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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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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What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them it is that which satisfies the rules of logic. But in education it is not that it is one that can be understood by the pupils.
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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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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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...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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The mind uses its faculty for creativity only when experience forces it to do so.
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It is far better to foresee even without certainty than not to foresee at all.
Henri Poincare