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Numerosities are not ersatz numbers

Published online by Cambridge University Press:  15 December 2021

Catarina Dutilh Novaes Open the ORCID record for Catarina Dutilh Novaes [Opens in a new window]  and
César Frederico dos Santos
Catarina Dutilh Novaes
Affiliation:
Department of Philosophy, Vrije Universiteit Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, Netherlands. c.dutilhnovaes@vu.nlhttps://www.cdutilhnovaes.com
César Frederico dos Santos
Affiliation:
Department of Philosophy, Vrije Universiteit Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, Netherlands. c.dutilhnovaes@vu.nlhttps://www.cdutilhnovaes.com Department of Philosophy, Federal University of Maranhão, Av. dos Portugueses, 1966, 65080-805, São Luís, MA, Brazil. c.f.dos.santos@vu.nlcesar.frederico@ufma.br
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Abstract

In describing numerosity as “a kind of ersatz number,” Clarke and Beck fail to consider a familiar and compelling definition of numerosity, which conceptualizes numerosity as the cognitive counterpart of the mathematical concept of cardinality; numerosity is the magnitude, whereas number is a scale through which numerosity/cardinality is measured. We argue that these distinctions should be considered.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 44 , 2021 , e198
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

Butterworth, B. (2005). The development of arithmetical abilities. Journal of Child Psychology and Psychiatry, 46(1), 3–18.CrossRefGoogle ScholarPubMed
dos Santos, C. F. (2021). Re-establishing the distinction between numerosity, numerousness, and number in numerical cognition. Manuscript submitted for publication.Google Scholar
Enderton, H. B. (1977). Elements of set theory. Academic Press.Google Scholar
Nieder, A. (2016). The neuronal code for number. Nature reviews Neuroscience, 17, 366–382.CrossRefGoogle ScholarPubMed
Piazza, M., & Izard, V. (2009). How humans count: Numerosity and the parietal cortex. The Neuroscientist, 15(3), 261–273.CrossRefGoogle ScholarPubMed
Stevens, S. S. (1939/2006). On the problem of scales for the measurement of psychological magnitudes. In Proceedings of the 22nd annual meeting of the International Society for Psychophysics. St. Albans, England. Retrieved from http://proceedings.fechnerday.com/index.php/proceedings/article/view/330Google Scholar