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Point set topology is a disease from which the human race will soon recover.

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
Disease
Race
Point
Human
Humans
Topology
Recover
Soon

More quotes by Henri Poincare

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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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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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It is far better to foresee even without certainty than not to foresee at all.
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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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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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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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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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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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Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.
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Mathematicians do not study objects, but the relations between objects.
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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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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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But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
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Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
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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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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 logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not yet be in possession of the whole reality, that indefinable something that constitutes the unity ... Now pure logic cannot give us this view of the whole it is to intuition that we must look for it.
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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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