A GREAT discovery solves a great problem but there is a grain of discovery in any problem.
George PolyaWhat is the difference between method and device? A method is a device which you use twice.
George PolyaThe first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea.
George PolyaThe result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.
George Polya