Abstract / Synopsis
This article concerns the relationship between mathematics and language, emphasizing the role of analogy both as an expression of a mathematical property and as a source of productive ambiguity in mathematics. An historical discussion is given of the interplay between the notions of logos, litotes, and limit that has implications for our understanding and teaching of Dedekind cuts and, more generally, for a humanistic notion of the role of mathematics within liberal education.
© William M. Priestley
Priestley, W. M. "Wandering About: Analogy, Ambiguity and Humanistic Mathematics," Journal of Humanistic Mathematics, Volume 3 Issue 1 (January 2013), pages 115-135. DOI: 10.5642/jhummath.201301.10 . Available at: http://scholarship.claremont.edu/jhm/vol3/iss1/10
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