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Ideas for 'Parmenides', 'works' and 'Dispositions and Powers'

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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD]
     Full Idea: Descartes founded analytic geometry on the assumption that there is a one-one order-preserving correspondence between the points on a line and the real numbers.
     From: report of René Descartes (works [1643]) by William D. Hart - The Evolution of Logic 1