Carroll’s Infinite Regress and the Act of Diagramming

Topoi 38 (3):619-626 (2019)
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Abstract

The infinite regress of Carroll’s ‘What the Tortoise said to Achilles’ is interpreted as a problem in the epistemology of mathematical proof. An approach to the problem that is both diagrammatic and non-logical is presented with respect to a specific inference of elementary geometry.

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10.1007/s11245-017-9530-4

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John Mumma
California State University, San Bernardino

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References found in this work

What The Tortoise Said To Achilles.Lewis Carroll - 1895 - Mind 104 (416):691-693.
The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford, England: Oxford University Press. pp. 80--133.
Proofs, pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.
A formal system for euclid’s elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.

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