Inspirational Quote by Hermann Weyl

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

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

— Charles Sanders Peirce

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

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

— Felix Klein

Our mathematics of the last few decades has wallowed in generalities and formalizations.

— Hermann Weyl

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

— Alfred North Whitehead

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept…

— Paul Halmos

The axiomatic method is very powerful

— 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 is merely the means to a general and ultimate knowledge of man.

— Friedrich Nietzsche