Authors
James Robert Brown
University of Toronto, St. George Campus
Abstract
Everyone appreciates a clever mathematical picture, but the prevailing attitude is one of scepticism: diagrams, illustrations, and pictures prove nothing; they are psychologically important and heuristically useful, but only a traditional verbal/symbolic proof provides genuine evidence for a purported theorem. Like some other recent writers (Barwise and Etchemendy [1991]; Shin [1994]; and Giaquinto [1994]) I take a different view and argue, from historical considerations and some striking examples, for a positive evidential role for pictures in mathematics.
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DOI 10.1093/bjps/48.2.161
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References found in this work BETA

Languages of Art.Nelson Goodman - 1968 - Bobbs-Merrill.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford University Press.
Languages of Art.Nelson Goodman - 1970 - Philosophy and Rhetoric 3 (1):62-63.

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Citations of this work BETA

Mathematical Explanation Beyond Explanatory Proof.William D’Alessandro - 2020 - British Journal for the Philosophy of Science 71 (2):581-603.
Proofs, Pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.
Mathematical Explanation Beyond Explanatory Proof.William D’Alessandro - 2017 - British Journal for the Philosophy of Science:axy009.

View all 19 citations / Add more citations

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