Mathematical Quote by Hermann Weyl

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

— Hermann Weyl

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

— Serge Lang

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

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements…

— Richard Courant

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

— Felix Klein

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

— Alfred North Whitehead

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

— Charles Sanders Peirce

[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

“Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable…

— Melvin Schwartz

An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises an explicit…

— David Berlinski

Mathematical analysis is as extensive as nature itself; it defines all perceptible relations, measures times, spaces, forces, temperatures:;; this difficult science is formed slowly,…

— Joseph Fourier