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How is error possible in mathematics?
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
Mathematical
Errors
Mathematics
Possible
Error
More quotes by Henri Poincare
It is far better to foresee even without certainty than not to foresee at all.
Henri Poincare
Analyse data just so far as to obtain simplicity and no further.
Henri Poincare
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
Henri Poincare
The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
Henri Poincare
Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
Henri Poincare
But for harmony beautiful to contemplate, science would not be worth following.
Henri Poincare
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.
Henri Poincare
Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
Henri Poincare
If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living
Henri Poincare
Tolstoi explains somewhere in his writings why, in his opinion, “Science for Science's sake” is an absurd conception. We cannot know all the facts, since they are practically infinite in number. We must make a selection. Is it not better to be guided by utility, by our practical, and more especially our moral, necessities?
Henri Poincare
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.
Henri Poincare
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.
Henri Poincare
In the old days when people invented a new function they had something useful in mind. Now, they invent them deliberately just to invalidate our ancestors' reasoning, and that is all they are ever going to get out of them.
Henri Poincare
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
Henri Poincare
We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
Henri Poincare
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.
Henri Poincare
Every good mathematician should also be a good chess player and vice versa.
Henri Poincare
Point set topology is a disease from which the human race will soon recover.
Henri Poincare
All of mathematics is a tale about groups.
Henri Poincare
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
