A Quote by Henri Poincare

Mathematicians do not study objects, but the relations between objects. — © Henri Poincare
Mathematicians do not study objects, but the relations between objects.
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.
Mathematicians do not study objects, but relations between objects.
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.
...man is an analogist, and studies relations in all objects. He is placed in the center of beings, and a ray of relation passes from every other being to him. And neither can man be understood without these objects, nor these objects without man.
It is as much the conversations between objects as between us and objects that make museums so valuable.
The notion that Playboy turns women into sex objects is ridiculous. Women are sex objects. If women weren't sex objects, there wouldn't be another generation. It's the attraction between the sexes that makes the world go 'round. That's why women wear lipstick and short skirts.
[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers, but things of thought to which there could correspond effective objects or relations, even though such a correspondence is not necessary.
Anything can be art. Art is the relations between relations, not the relations between objects.
That is the great distinction between the sexes. Men see objects, women see the relationships between objects.
In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects with reproducible properties is called mathematics.
The structure underlying the phenomena is not given by material objects like the atoms of Democritus but by the form that determines the material objects. The Ideas are more fundamental than the objects.
That is the great distinction between the sexes. Men see objects, women seetherelationship between objects? It is an extra dimension of feeling which we men are without and one that makes war abhorrent to all real women?and absurd.
My pictures are devoid of objects; like objects, they are themselves objects. This means that they are devoid of content, significance or meaning, like objects or trees, animals, people or days, all of which are there without a reason, without a function and without a purpose. This is the quality that counts. Even so, there are good and bad pictures.
Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.
I love the life of objects. When the children go to bed, the objects come to life. I like to tell stories about the life of inanimate objects.
Relations between pure and applied mathematicians are based on trust and understanding. Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians.
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