Education Quote by Ralph P. Boas, Jr

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

— Rene Thom

Mathematicians use intuition, conjecture and guesswork all the time except when they are in the classroom.

— Joseph Warren

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

— Plato

A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover. A good…

— Steven G. Krantz

“It's much easier, after all, to learn mathematics from someone who's made a few mistakes. It's impossible to learn it from someone who always…

— John Lennox

The proof that you know something is that you are able to teach it

— 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

Mathematicians need proofs to keep them honest. All technical areas of human activity need reality checks. It is not enough to believe that something…

— Ian Stewart

A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is…

— Gian-Carlo Rota

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein

Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.

— Antony Garrett Lisi

Proofs exist only in mathematics and logic, not in science.

— Satoshi Kanazawa