Article

Synthese

, Volume 186, Issue 1, pp 121-148

Human diagrammatic reasoning and seeing-as

  • Annalisa ColivaAffiliated withUniversità degli Studi di Modena e Reggio Emilia Email author 

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Abstract

The paper addresses the issue of human diagrammatic reasoning in the context of Euclidean geometry. It develops several philosophical categories which are useful for a description and an analysis of our experience while reasoning with diagrams. In particular, it draws the attention to the role of seeing-as; it analyzes its implications for proofs in Euclidean geometry and ventures the hypothesis that geometrical judgments are analytic and a priori, after all.

Keywords

Diagrammatic reasoning Seeing-as Geometrical concepts Euclidean geometry A priori Analytic