Philosophy Quote by John Keats

In any non-trivial axiomatic system, there are true theorems which cannot be proven.

— Kurt Gödel

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

— Hermann Weyl

An axiomatic system establishes a reverberating relationship between what a mathematician assumes (the axioms) and what he or she can derive (the theorems). In…

— David Berlinski

Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles,…

— Gottfried Leibniz

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

— Hermann Weyl

You can "prove" anything on the verbal level, just be accepting the necessary axioms at the beginning.

— Robert Anton Wilson

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

— Serge Lang

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

The principal axiom in their theory was: Everything can be proved, and everything can be disproved; and in the process, one must profit as…

— Moses Mendelssohn

“There is no intellectual exercise that is not ultimately pointless. A philosophical doctrine is, at first, a plausible description of the universe; the years…

— Jorge Luis Borges

The axiomatic method is very powerful

— Kurt Gödel

True philosophy invents nothing; it merely establishes and describes what is.

— Victor Cousin