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8994 | If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine] |
Full Idea: Geometry can be brought into line with logicism simply by identifying figures with arithmetical relations with which they are correlated thought analytic geometry. | |
From: Willard Quine (Truth by Convention [1935], p.87) | |
A reaction: Geometry was effectively reduced to arithmetic by Descartes and Fermat, so this seems right. You wonder, though, whether something isn't missing if you treat geometry as a set of equations. There is more on the screen than what's in the software. |