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.
2012
no
Inglese
PAESI BASSI
186
1
121
148
Diagrams; geometry; seeing-as; taking-as; a priori; analytic
The paper lies at the interface of the philosophies of mathematics, mind and epistemology. It has appeared in one of the most prestigious international journals in the field.
reserved
info:eu-repo/semantics/article
Contributo su RIVISTA::Articolo su rivista
262
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]
Coliva, Annalisa
1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/646911
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