Synthese

, Volume 186, Issue 1, pp 121–148

Human diagrammatic reasoning and seeing-as

Authors

    • Università degli Studi di Modena e Reggio Emilia
Article

DOI: 10.1007/s11229-011-9982-9

Cite this article as:
Coliva, A. Synthese (2012) 186: 121. doi:10.1007/s11229-011-9982-9

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 reasoningSeeing-asGeometrical conceptsEuclidean geometryA prioriAnalytic
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© Springer Science+Business Media B.V. 2011