Mathematicians do not study objects, but relations between objects. — Henri Poincare Copy Share Image
Mathematics is the art of giving the same name to different things. — Henri Poincare Copy Share Image
It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know… — Henri Poincare Copy Share Image
It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances… — Henri Poincare Copy Share Image
Mathematical discoveries, small or great are never born of spontaneous generation. — Henri Poincare Copy Share Image
[T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous. — Henri Poincare Copy Share Image
One geometry cannot be more true than another; it can only be more convenient. — Henri Poincare Copy Share Image
Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered. — Henri Poincare Copy Share Image
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the… — Henri Poincare Copy Share Image
Mathematicians do not study objects, but the relations between objects. — Henri Poincare Copy Share Image
“The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights… — Henri Poincare Copy Share Image
Mathematicians do not deal in objects, but in relations between objects; thus, they are free to replace some objects by others so… — Henri Poincare Copy Share Image
Mathematics is the art of giving the same name to different things. [As opposed to the quotation: Poetry is the art of… — Henri Poincare Copy Share Image
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to… — Henri Poincare Copy Share Image
Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well… — Henri Poincare Copy Share Image
If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the… — Henri Poincare Copy Share Image
...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling,… — Henri Poincare Copy Share Image
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to… — Henri Poincare Copy Share Image
I entered an omnibus to go to some place or other. At that moment when I put my foot on the step… — Henri Poincare Copy Share Image
“ Derrière la série de Fourier , d'autres séries analogues sont entrées dans la domaine de l'analyse; elles y sont entrees par… — Henri Poincaré Copy Share Image
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer… — Henri Poincare Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it… — Henri Poincare Copy Share Image
How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ...… — Henri Poincare Copy Share Image
A first fact should surprise us, or rather would surprise us if we were not used to it. How does it happen… — Henri Poincare Copy Share Image
I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion… — Henri Poincare Copy Share Image
So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a… — Henri Poincare Copy Share Image
“... I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines.… — Henri Poincaré Copy Share Image
Geometry is the art of correct reasoning from incorrectly drawn figures. — Henri Poincare Copy Share Image
No more than these machines need the mathematician know what he does. — Henri Poincare Copy Share Image
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. — Henri Poincare Copy Share Image
Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has… — Henri Poincare Copy Share Image
Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him… — Henri Poincare Copy Share Image
For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them… — Henri Poincare Copy Share Image
One would have to have completely forgotten the history of science so as to not remember that the desire to know nature… — Henri Poincare Copy Share Image
. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the… — Henri Poincare Copy Share Image
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge… — Henri Poincare Copy Share Image
. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most… — Henri Poincare Copy Share Image
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation… — Henri Poincare Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,… — Henri Poincare Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,… — Henri Poincare Copy Share Image
A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment. — Henri Poincare Copy Share Image
In the old days when people invented a new function they had something useful in mind. — Henri Poincare Copy Share Image
Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical… — Henri Poincare Copy Share Image
![“[T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous.” quote by Henri Poincare](https://sms4smile.com/quotes/img-quotes/5f5/henri-poincare-3339_ambition_t-he-different-branches-of-arithmetic-am_1371321.jpg)
![“Mathematics is the art of giving the same name to different things. [As opposed to the quotation: Poetry is the art of giving different names to the same thing].” quote by Henri Poincare](https://sms4smile.com/quotes/img-quotes/a20/henri-poincare-3339_art_mathematics-is-the-art-of-giving-the-sam_1662907.jpg)
