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Published on: June 21, 2019
The perception of quantity ain't number: Missing the primacy of symbolic reference
Rafael E Núñez1, Francesco d'Errico2, Russell D Gray3
1Department of Cognitive Science, University of California, San Diego, La Jolla, CA92093-0515, USA. rnunez@ucsd.edu.
Abstract:
Clarke and Beck's defense of the theoretical construct "approximate number system" (ANS) is flawed in serious ways - from biological misconceptions to mathematical naïveté. The authors misunderstand behavioral/psychological technical concepts, such as numerosity and quantical cognition, which they disdain as "exotic." Additionally, their characterization of rational numbers is blind to the essential role of symbolic reference in the emergence of number.
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