Certain Quote by Timothy Gowers

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

— Rene Thom

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

If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the…

— George Polya

“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

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

— Satoshi Kanazawa

A proof is that which convinces a reasonable man; a rigorous proof is that which convinces an unreasonable man.

— Mark Kac

“All mathematical proofs must be deductive. Each proof is a chain of deductive arguments, each of which has its premises and conclusion.”

— Morris Kline

Mathematicians are proud of the fact that, generally, they do their work with a piece of chalk and a blackboard. They value hand-done proofs…

— Margaret Wertheim

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

— Felix Klein

Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning.

— John Locke

Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative…

— Alfred Korzybski

If we have no idea why a statement is true, we can still prove it by induction.

— Gian-Carlo Rota