"There is an ancient Celtic axiom that says 'Good people drink good beer.' Which is true, then as now. Just look around you in any public barroom and you will quickly see: Bad people drink bad beer. Think about it."

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If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way.

— George Polya