Deals Quote by Henri Poincare

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…

— Henri Poincare

Mathematicians do not study objects, but the relations between objects.

— Henri Poincare

Mathematicians do not study objects, but relations between objects.

— Henri Poincare

Thus, they are free to replace some objects by others so long as the relations remain unchanged.

— Henri Poincare

[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers,…

— Hermann Hankel

The object of pure Mathematic (is) that of unfolding the laws of human intelligence.

— James Joseph Sylvester

The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.

— Jacques Hadamard

If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other.

— John Von Neumann

Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.

— Barry Mazur

“The behaviour of physical, nonbiological objects is so simple that it is feasible to use existing mathematical language to describe it, which is why…

— Richard Dawkins

In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects…

— Philip J. Davis

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation…

— Nikola Tesla