A Quote by Barry Mazur
Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.
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...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.
When you talk about objects, one other thing automatically comes attached to that thing, and that is gestures: how we manipulate these objects, how we use these objects in everyday life. We use gestures not only to interact with these objects, but we also use them to interact with each other.
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.
In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated.
Our goal is simple objects, objects that you can't imagine any other way.
Business reporting is not dealing with objects, it is dealing with relationships between objects.
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.
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.
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.
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.
That is the great distinction between the sexes. Men see objects, women see the relationships between objects.
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.
we seem determined to give human qualities to objects and content to treat each other as things.
In this relation, then, the proposed government cannot be deemed a national one; since its jurisdiction extends to certain enumerated objects only, and leaves to the several states, a residuary and inviolable sovereignty over all other objects.
A museum is like a valuing machine. Museums and the industrial society started at the same moment, and they're really tied into each other. They've been all about displaying objects and the kind of wealth that can be derived from objects and promoting that point.
Photographs are but one link in a potentially endless chain of reduplication; themselves duplicates (of both their objects and, in a sense, their negatives), they are also subject to further duplication, either through the procedures of printing or as objects of still other photographs.
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