The result of the mathematician's creative work is demonstr… - George Pólya

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The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing. If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference.

George Pólya

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About George Pólya

George Pólya (December 13, 1887 – September 7, 1985) was a Hungarian mathematician and professor of mathematics at ETH Zürich and at Stanford University. His work on heuristics and pedagogy has had substantial and lasting influence on mathematical education, and has also been influential in artificial intelligence.

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Also Known As

Native Name: Pólya György

Alternative Names: George Polya • Georg Polya • Georg Pólya

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Richard Hamming David Hilbert Henri Poincaré Augustus De Morgan Richard Feynman

Additional quotes by George Pólya

The general or amateur student should also get a taste of demonstrative reasoning... he should acquire a standard with which he can compare alleged evidence of all sorts aimed at him in modern life.

Facing any part of the observable reality, we are never in possession of complete knowledge, nor in a state of complete ignorance, although usually much closer to the latter state.

Look around when you have got your first mushroom or
made your first discovery: they grow in clusters.

The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.… - George Pólya

About George Pólya

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