Five dogmas of logic diagrams and how to escape them

Language & Communication 87 (1):258-270 (2022)
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Abstract

In the vein of a renewed interest in diagrammatic reasoning, this paper challenges an opposition between logic diagrams and formal languages that has traditionally been the common view in philosophy of logic and linguistics. We examine, from a philosophical point of view, what we call five dogmas of logic diagrams. These are as follows: (1) diagrams are non-linguistic; (2) diagrams are visual representations; (3) diagrams are iconic, and not symbolic; (4) diagrams are non-linear; (5) diagrams are heterogenous, and not homogenous. Using historical examples, we argue that none of these dogmas is an adequate criterion to distinguish logic diagrams from formal languages. Instead, we advocate that there is a common core between linguistic and diagrammatic representation and reasoning.

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Author Profiles

Claudia Anger
Fernuniversität Hagen
Jens Lemanski
University of Münster

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The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
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Invariance as a basis for necessity and laws.Gila Sher - 2021 - Philosophical Studies 178 (12):3945-3974.

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