Visual imagery and geometric enthymeme: The example of euclid I.

Behavioral and Brain Sciences 25 (2):202-203 (2002)
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.
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