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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.
Gist of Idea
Descartes showed a one-one order-preserving match between points on a line and the real numbers
Source
report of René Descartes (works [1643]) by William D. Hart - The Evolution of Logic 1
Book Ref
Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.18
| 13445 | Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD] |
| 16774 | Descartes thinks distinguishing substances from aggregates is pointless [Descartes, by Pasnau] |
| 4310 | We have inner awareness of our freedom [Descartes] |
| 7400 | Descartes said images can refer to objects without resembling them (as words do) [Descartes, by Tuck] |
| 6553 | Descartes discussed the interaction problem, and compared it with gravity [Descartes, by Lycan] |
| 19676 | Nature is devoid of thought [Descartes, by Meillassoux] |
| 6518 | Matter can't just be Descartes's geometry, because a filler of the spaces is needed [Robinson,H on Descartes] |