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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DOI 10.1007/s11229-011-9982-9
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Mind and World.John McDowell - 1994 - Cambridge: Harvard University Press.
Epistemic Rules.Paul A. Boghossian - 2008 - Journal of Philosophy 105 (9):472-500.
A Formal System for Euclid's Elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.

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