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

Authors
Sun-Joo Shin
Yale University
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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DOI 10.1007/s11229-012-0075-1
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References found in this work BETA

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

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Citations of this work BETA

Quotation, Demonstration, and Iconicity.Kathryn Davidson - 2015 - Linguistics and Philosophy 38 (6):477-520.
The Eco-Cognitive Model of Abduction II.Lorenzo Magnani - 2016 - Journal of Applied Logic 15:94-129.
The Mystery of Deduction and Diagrammatic Aspects of Representation.Sun-Joo Shin - 2015 - Review of Philosophy and Psychology 6 (1):49-67.

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