“Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of the real world, often in ways no one could have envisioned before the theory was developed.” WorldWayRealTurnsUnderstandingRichTheoryStructureSignificantMathematicalInternalsReal WorldImplications Author:William Thurston
“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” ScienceUnderstandingNumbersMathematicsEquationsAlgorithmsComputation Author:William Thurston
“Mathematics is an art of human understanding.” HumansArtUnderstandingMathematics Author:William Thurston
“The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new.” IdeasUnderstandingCommunityProductsMathematicsSpreadMathBreatheClarityMathematicianTheoremsOld And New Author:William Thurston
