Analogies Quote by Henri Poincare

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

The most vitally characteristic fact about mathematics is, in my opinion, its quite peculiar relationship to the natural sciences, or more generally, to any…

— John Von Neumann

“Through the judicious employment of symbols, diagrams, and calculations, mathematics enables us to acquire significant facts about extremely significant things (universal laws, even), not…

— G. Arnell Williams

“Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world. Math…

— Jordan Ellenberg

As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be…

— Abraham Robinson

I am ever more intrigued by the correspondence between mathematics and physical facts. The adaptability of mathematics to the description of physical phenomena is…

— Nicolaas Bloembergen

Mathematics may, be briefly defined as the science of quantities, and is one of the most important of disciplining studies which engage the practical…

— Rufus Choate

Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the…

— Gian-Carlo Rota

Mathematics is the science which draws necessary conclusions.

— Benjamin Peirce

“It is my conviction that pure mathematical construction enables us to discover the concepts and the laws connecting them, which give us the key…

— Albert Einstein

Mathematics in general is fundamentally the science of self-evident things.

— Felix Klein

Physicists have come to realize that mathematics, when used with sufficient care, is a proven pathway to truth.

— Brian Greene