The paper argues that a fundamental experience necessary to prove theorems in Euclidean geometry is that of "seeing something as". It provides an account of it and draws some consequences about the vexed issue of the analytic/synthetic, a priori/a posteriori status of geometry. In particular, it argues for the view that it is, after all, a priori and analytic.
Human diagrammatic reasoning and seeing-as / Coliva, Annalisa. - In: SYNTHESE. - ISSN 0039-7857. - STAMPA. - 186:1(2012), pp. 121-148. [10.1007/s11229-011-9982-9]
Human diagrammatic reasoning and seeing-as
COLIVA, Annalisa
2012
Abstract
The paper argues that a fundamental experience necessary to prove theorems in Euclidean geometry is that of "seeing something as". It provides an account of it and draws some consequences about the vexed issue of the analytic/synthetic, a priori/a posteriori status of geometry. In particular, it argues for the view that it is, after all, a priori and analytic.
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