Ideas Quote by James Joseph Sylvester

“It is almost as if ideas set in mathematical form melt and become liquid and just as rivers can, from the most humble beginnings,…

— G. Arnell Williams

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.

— Hermann Weyl

Before you generalize, formalize, and axiomatize there must be mathematical substance.

— Hermann Weyl

Ideas can no more flow backward than can a river.

— Victor Hugo

Axiomatization is what one does last, it's rubbish. It's the hygiene of mathematics, axiomatization.

— Serge Lang

“A key ingredient in appreciating what mathematics is about is to realize that it is concerned with ideas, understanding, and communication more than it…

— G. Arnell Williams

A river seems a magic thing. A magic, moving, living part of the very earth itself.

— Laura Gilpin

The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

“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

We cannot make rivers whole unless we wholly understand them.

— Rob Brown

Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of…

— David Hilbert

A river is a river, independent of whether there are other rivers nearby. In science, we call things what they are based on their…

— Alan Stern