Date: Sat, 20 Sep 1997 15:33:37 -0300 (ADT)
Subject: Article by Lakoff and Nunez 

Date: Sat, 20 Sep 1997 10:54:57 -0400
From: Charles Wells <charles@freude.com>

I would like to recommend the article by Lakoff and Nunez
(bibliographical data below).  It seems to me that some of the
points they makes are points Bill Lawvere and Walter Noll have been making
for years, and it is a pity that they didn't mention the work in
categorial foundations, synthetic differential geometry, etc
that makes some of the ideas rigorous.

The article:
George Lakoff and Rafael E. Nunez, The Metaphorical Structure of
Mathematics: Sketching Out Cognitive Foundations for a
Mind-Based Mathematics, in Mathematical Reasoning: Analogies,
Metaphors and Images, edited by Lyn D. English, Lawrence Erlbaum
Associates, 1997, pages 21-92.

Too bad it is buried in the math ed ghetto.






Charles Wells, Department of Mathematics, Case Western Reserve University,
10900 Euclid Ave., Cleveland, OH 44106-7058, USA.
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