Sizes, ratios, approximations: On what and how the ANS represents

Behavioral and Brain Sciences 44:e180 (2021)
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Abstract

Clarke and Beck propose that the approximate number system (ANS) represents rational numbers. The evidence cited supports only the view that it represents ratios (and positive integers). Rational numbers are extensive magnitudes (i.e., sizes), whereas ratios are intensities. It is also argued that WHAT a system represents and HOW it does so are not as independent of one another as the authors assume.

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Brian Ball
Northeastern University London

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References found in this work

Origins of Objectivity.Tyler Burge - 2010 - Oxford, GB: Oxford University Press.
Magnitudes: Metaphysics, Explanation, and Perception.Christopher Peacocke - 2015 - In Danièle Moyal-Sharrock, Volker Munz & Annalisa Coliva (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. Boston: De Gruyter. pp. 357-388.

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