Mathematical Diagrams in Practice: An Evolutionary Account

Logique Et Analyse 179:341-355 (2002)
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Abstract

This paper analyzes some examples of diagrammatic proofs in elementary mathematics. It suggests that the cognitive features that allow us to understand such proofs are extensions of the cognitive features that allow us to navigate the physical world.

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References found in this work

The nature of mathematical knowledge.Philip Kitcher - 1983 - Oxford: Oxford University Press.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - The American Mathematical Monthly 54 (9):515--525.
What is Cantor's Continuum Problem?Kurt Gödel - 1983 - In Paul Benacerraf & Hilary Putnam (eds.), Philosophy of Mathematics: Selected Readings (2nd Edition). Cambridge: Cambridge University Press. pp. 470-485.
Understanding the infinite.Shaughan Lavine - 1994 - Cambridge: Harvard University Press.

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