Certain Quote by Anatol Rapoport

The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or…

— IU?. I. Manin

Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means ...

— Henri Poincare

“However, one cannot really argue with a mathematical theorem.”

— Stephen Hawking

MacPherson told me that my theorem can be viewed as blah blah blah Grothendieck blah blah blah, which makes it much more respectable.

— Jim Propp

The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians…

— William Thurston

The meaning of a proposition is the method of its verification.

— Moritz Schlick

Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be…

— Henri Poincare

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

— Kurt Gödel

“The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend…

— G.H. Hardy

Analytic It is clear that the definition of "logic" or "mathematics" must be sought by trying to give a new definition of the old…

— Bertrand Russell

One cannot really argue with a mathematical theorem.

— Stephen Hawking

Inferences of Science and Common Sense differ from those of deductive logic and mathematics in a very important respect, namely, when the premises are…

— Bertrand Russell