Philosophia Mathematica 21 (3):323-338 (2013)
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Abstract |
Mistaken reasons for thinking diagrammatic proofs aren't rigorous are explored. The main result is that a confusion between the contents of a proof procedure (what's expressed by the referential elements in a proof procedure) and the unarticulated mathematical aspects of a proof procedure (how that proof procedure is enabled) gives the impression that diagrammatic proofs are less rigorous than language proofs. An additional (and independent) factor is treating the impossibility of naturally generalizing a diagrammatic proof procedure as an indication of lack of rigor
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DOI | 10.1093/philmat/nkt015 |
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References found in this work BETA
The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 80--133.
Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences.Jody Azzouni - 1994 - Cambridge University Press.
Diagram-Based Geometric Practice.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 65--79.
Crossing Curves: A Limit to the Use of Diagrams in Proofs†: Articles.Marcus Giaquinto - 2011 - Philosophia Mathematica 19 (3):281-307.
View all 8 references / Add more references
Citations of this work BETA
Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
Philosophy of Mathematical Practice — Motivations, Themes and Prospects.Jessica Carter - 2019 - Philosophia Mathematica 27 (1):1-32.
A Problem with the Dependence of Informal Proofs on Formal Proofs.Fenner Tanswell - 2015 - Philosophia Mathematica 23 (3):295-310.
Otávio Bueno* and Steven French.**Applying Mathematics: Immersion, Inference, Interpretation. [REVIEW]Anthony F. Peressini - 2020 - Philosophia Mathematica 28 (1):116-127.
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