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Representation of pure magnitudes in ANS

Published online by Cambridge University Press:  15 December 2021

Steven Gross
Affiliation:
William H. Miller III Department of Philosophy, Johns Hopkins University, Baltimore, MD21218, USAsgross11@jhu.eduhttps://sites.google.com/site/grosssteven/
William Kowalsky
Affiliation:
Department of Philosophy, York University, Toronto, ONM3J 1P3, Canadawilliam.kowalsky@gmail.comhttp://williamkowalsky.com/
Tyler Burge
Affiliation:
Department of Philosophy, University of California, Los Angeles, Los Angeles, CA90095-1451, USA. burge@ucla.eduhttps://philosophy.ucla.edu/person/tyler-burge/

Abstract

According to Clarke and Beck (C&B), the approximate number system (ANS) represents numbers. We argue that the ANS represents pure magnitudes. Considerations of explanatory economy favor the pure magnitudes hypothesis. The considerations C&B direct against the pure magnitudes hypothesis do not have force.

Type
Open Peer Commentary
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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