The forgotten individual: diagrammatic reasoning in mathematics

Synthese 186 (1):149-168 (2012)
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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

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Sun-Joo Shin
Yale University

References found in this work

Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
Critique of Pure Reason.Immanuel Kant - 1998 - Cambridge: Cambridge University Press.
Logical Reasoning with Diagrams.Gerard Allwein & Jon Barwise (eds.) - 1996 - Oxford, England: Oxford University Press.
The Foundations of Geometry.David Hilbert - 1899 - Open Court Company (This Edition Published 1921).

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