Accepting Quote by Aristotle

The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.

— George Polya

It is the mark of an educated mind to expect that amount of exactness which the nature of the particular subject admits. It is…

— Aristotle

I have hardly ever known a mathematician who was capable of reasoning.

— Plato

I believe that proving is not a natural activity for mathematicians.

— Rene Thom

Our faith in Mathematics is not likely to wane if we openly acknowledge that the personalities of even the greatest mathematicians may be as…

— Gian-Carlo Rota

As a poet and as a mathematician, he would reason well; as a mere mathematician, he could not have reasoned at all.

— Edgar Allan Poe

“It is an unfortunate fact that proofs can be very misleading. Proofs exist to establish once and for all, according to very high standards,…

— Herbert S. Gaskill

A proof tells us where to concentrate our doubts.

— Morris Kline

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.

— Henri Poincare

A widespread belief is more often likely to be foolish than sensible.

— Bertrand Russell

If there should chance to be any mathematicians who, ignorant in mathematics yet pretending to skill in that science, should dare, upon the authority…

— Nicolaus Copernicus

It is foolish to be convinced without evidence, but it is equally foolish to refuse to be convinced by real evidence.

— Upton Sinclair