The forgotten individual: diagrammatic reasoning in mathematics

Synthese 186 (1):149-168 (2012)
Abstract
Parallelism has been drawn between modes of representation and problem-sloving processes: Diagrams are more useful for brainstorming while symbolic representation is more welcomed in a formal proof. The paper gets to the root of this clear-cut dualistic picture and argues that the strength of diagrammatic reasoning in the brainstorming process does not have to be abandoned at the stage of proof, but instead should be appreciated and could be preserved in mathematical proofs
Keywords Diagrammatic reasoning  Token fallacy  Formalization  Generalization  Individualization
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    David Hilbert (1899). The Foundations of Geometry. Open Court Company (This Edition Published 1921).

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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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