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Visual imagery and geometric enthymeme: The example of Euclid I.1

Published online by Cambridge University Press:  19 March 2003

Keith K. Niall
Keith K. Niall
Affiliation:
Defence and Civil Institute of Environmental Medicine, Defence Research & Development Canada, Toronto, M3M 3B9, CanadaKeith.Niall@drdc-rddc.gc.ca
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Abstract

Students of geometry do not prove Euclid's first theorem by examining an accompanying diagram, or by visualizing the construction of a figure. The original proof of Euclid's first theorem is incomplete, and this gap in logic is undetected by visual imagination. While cognition involves truth values, vision does not: the notions of inference and proof are foreign to vision.

Type
Brief Report
Information
Behavioral and Brain Sciences , Volume 25 , Issue 2 , April 2002 , pp. 202 - 203
Copyright
© 2002 Cambridge University Press

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