A great discovery solves a great problem, but there is a grain of disc…

George Polya
43 citations
A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.
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Mathematics consists in proving the most obvious thing in the least obvious way. ✨ George Pólya (1968). Mathematical discovery: on understanding, learning, and teaching problem solving
The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new problems. By this means, and by all other means, he should … ▶
Geometry is the science of correct reasoning on incorrect figures.
If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
I am too good for philosophy and not good enough for physics. Mathematics is in between.

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