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Then, having identified the nature of geometric axioms, [Poincaré] turned to the question, is Euclidean geometry true or is Riemann geometry true? He answered, The question has no meaning. As well ask whether the metric system is true and the avoirdupois system is false; whether Cartesian coordinates are true and polar coordinates are false. One geometry cannot be more true than another; it can only be more *convenient*. Geometry is not true, it is advantageous. --Robert Pirsig, "Zen and the Art of Motorcycle Maintenence" |
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