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What is a number? The interplay between number and continuous magnitudes

Published online by Cambridge University Press:  27 July 2017

Rosa Rugani ,
Umberto Castiello ,
Konstantinos Priftis ,
Andrea Spoto  and
Luisa Sartori
Rosa Rugani
Affiliation:
Department of General Psychology, University of Padova, 35131 Padua, [email protected]@[email protected]@[email protected]://www.dpg.unipd.it/rosa-ruganihttp://nemolaboratory.com/people/umberto-castiello/http://www.dpg.unipd.it/en/konstantinos-priftishttp://nemolaboratory.com/people/luisa-sartori/http://didattica.unipd.it/offerta/docente/6DB5058FD70BCB294F3B6A43724D4A02
Umberto Castiello
Affiliation:
Department of General Psychology, University of Padova, 35131 Padua, [email protected]@[email protected]@[email protected]://www.dpg.unipd.it/rosa-ruganihttp://nemolaboratory.com/people/umberto-castiello/http://www.dpg.unipd.it/en/konstantinos-priftishttp://nemolaboratory.com/people/luisa-sartori/http://didattica.unipd.it/offerta/docente/6DB5058FD70BCB294F3B6A43724D4A02 Cognitive Neuroscience Center, University of Padova, 35131 Padua, Italy Centro Linceo Interdisciplinare Beniamino Segre, Accademia dei Lincei, 00165 Rome, Italy
Konstantinos Priftis
Affiliation:
Department of General Psychology, University of Padova, 35131 Padua, [email protected]@[email protected]@[email protected]://www.dpg.unipd.it/rosa-ruganihttp://nemolaboratory.com/people/umberto-castiello/http://www.dpg.unipd.it/en/konstantinos-priftishttp://nemolaboratory.com/people/luisa-sartori/http://didattica.unipd.it/offerta/docente/6DB5058FD70BCB294F3B6A43724D4A02
Andrea Spoto
Affiliation:
Department of General Psychology, University of Padova, 35131 Padua, [email protected]@[email protected]@[email protected]://www.dpg.unipd.it/rosa-ruganihttp://nemolaboratory.com/people/umberto-castiello/http://www.dpg.unipd.it/en/konstantinos-priftishttp://nemolaboratory.com/people/luisa-sartori/http://didattica.unipd.it/offerta/docente/6DB5058FD70BCB294F3B6A43724D4A02
Luisa Sartori
Affiliation:
Department of General Psychology, University of Padova, 35131 Padua, [email protected]@[email protected]@[email protected]://www.dpg.unipd.it/rosa-ruganihttp://nemolaboratory.com/people/umberto-castiello/http://www.dpg.unipd.it/en/konstantinos-priftishttp://nemolaboratory.com/people/luisa-sartori/http://didattica.unipd.it/offerta/docente/6DB5058FD70BCB294F3B6A43724D4A02 Cognitive Neuroscience Center, University of Padova, 35131 Padua, Italy
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Abstract

Leibovich et al. argue that it is impossible to control for all continuous magnitudes in a numerical task. We contend that continuous magnitudes (i.e., perimeter, area, density) can be simultaneously controlled. Furthermore, we argue that shedding light on the interplay between number and continuous magnitudes – rather than considering them independently – will provide a much more fruitful approach to understanding mathematical abilities.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 40 , 2017 , e187
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Copyright
Copyright © Cambridge University Press 2017 

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References

Clearfield, M. W. & Mix, K. S. (1999) Number versus contour length in infants' discrimination of small visual sets. Psychological Science 10:408–11.Google Scholar
Clearfield, M. W. & Mix, K. S. (2001) Infants use continuous quantity – not number – to discriminate small visual sets. Journal of Cognition and Development 2:243–60.CrossRefGoogle Scholar
Feigenson, L., Carey, S. & Spelke, E. (2002) Infants' discrimination of number versus continuous extent. Cognitive Psychology 44:33–66.CrossRefGoogle Scholar
Feigenson, L., Dehaene, S. & Spelke, E. (2004) Core systems of number. Trends in Cognitive Sciences 8(7):307–14. doi: 10.1016/j.tics.2004.05.002.Google Scholar
Gallistel, C. R. (2011) Mental magnitudes. In: Space, time and number in the brain: Searching for the foundations of mathematical thought, ed. Dehaene, S. & Brannon, L., pp. 3–12. Elsevier.Google Scholar
Rugani, R., Regolin, L. & Vallortigara, G. (2010) Imprinted numbers: Newborn chicks' sensitivity to number vs. continuous extent of objects they have been reared with. Developmental Science 13:790–97.Google Scholar
Rugani, R., Regolin, L. & Vallortigara, G. (2011) Summation of large numerousness by newborn chicks. Frontiers in Psychology 2:179. doi: 10.3389/fpsyg.2011.00179.CrossRefGoogle ScholarPubMed
Rugani, R., Vallortigara, G., Priftis, K. & Regolin, L. (2015) Number-space mapping in the newborn chick resembles humans' mental number line. Science 347:534–36.CrossRefGoogle ScholarPubMed
Stancher, G. Rugani, R., Regolin, L. & Vallortigara, G. (2015) Numerical discrimination by frogs (Bombina orientalis). Animal Cognition 18(1):219–29.CrossRefGoogle ScholarPubMed
Suanda, S. H., Tompson, W. & Brannon, E. M. (2008) Changes in the ability to detect ordinal numerical relationships between 9 and 11 months of age. Infancy 13:308–37.Google Scholar