Human diagrammatic reasoning and seeing-as

Synthese 186 (1):121-148 (2012)
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
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    References found in this work BETA
    Paul Boghossian (2008). Epistemic Rules. Journal of Philosophy 105 (9):472-500.

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    Iulian D. Toader (2004). On Frege's Logical Diagrams. In A. Blackwell, K. Marriott & A. Shimojima (eds.), Diagrammatic Representation and Inference. Springer. 22--25.
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