Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-14T22:55:49.476Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  15 December 2021

Brian Ball Open the ORCID record for Brian Ball [Opens in a new window]
Brian Ball*
Affiliation:
Faculty of Philosophy, New College of the Humanities at Northeastern, LondonWC1B 3HH, UK. brian.ball@nchlondon.ac.uk; brianandrewball.wordpress.com
Get access Rights & Permissions [Opens in a new window]

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.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 44 , 2021 , e180
Check for updates
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Burge, T. (2010). Origins of objectivity. Oxford University Press.CrossRefGoogle Scholar
Carey, S. (2009). The origin of concepts. Oxford University Press.CrossRefGoogle Scholar
Peacocke, C. (2015). Magnitudes: Metaphysics, explanation, and perception. In Coliva, A., Munz, V. & Moyal-Sharrock, D (Eds.) Mind, language and action (pp. 357–388). De Gruyter.Google Scholar