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10245 | One geometry cannot be more true than another |
Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |||
From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |||
A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |