Creative Quote by George Polya

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

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

“It is by logic that we prove. It is by intuition that we discover," said the mathematician Henri Poincare.l”

— Ellen J. Langer

It is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician demonstrative proofs.

— Aristotle

It is with logic that one proves; it is with intuition that one invents.

— Henri Poincare

Only professional mathematicians learn anything from proofs. Other people learn from explanations.

— Ralph P. Boas, Jr

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

— Plato

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

— Joseph Warren

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

— Rene Thom

It is by logic we prove. It is by intuition we discover.

— Henri Poincare

Mathematical reasoning may be regarded...

— Alan Turing

It is through science that we prove, but through intuition that we discover.

— Henri Poincare