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Infants, animals, and the origins of number
Published online by Cambridge University Press: 27 July 2017
Abstract
Where do human numerical abilities come from? Leibovich et al. argue against nativist views of numerical development noting limitations in newborns' vision and limitations regarding newborns' ability to individuate objects. I argue that these considerations do not undermine competing nativist views and that Leibovich et al.'s model itself presupposes that infant learners have numerical representations.
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- Copyright © Cambridge University Press 2017
References
Carey, S. (2001) Cognitive foundations of arithmetic: Evolution and ontogenisis. Mind & Language
16(1):37–55. doi: 10.1111/1468-0017.00155.Google Scholar
Dehaene, S. (1997) The number sense: How the mind creates mathematics. Oxford University Press.Google Scholar
Izard, V., Sann, C., Spelke, E. S. & Steri, A. (2009) Newborn infants perceive abstract numbers. Proceedings of the National Academy of Sciences of the United States of America
106(25):10382–85.Google Scholar
Margolis, E. & Laurence, S. (2013) In defense of nativism. Philosophical Studies
165(2):693–718.Google Scholar
Turati, C., Gava, L., Valenza, E. & Ghirardi, V. (2013) Number versus extent in newborns' spontaneous preference for collections of dots. Cognitive Development
28(1):10–20.Google Scholar
Xu, F. & Carey, S. (1996) Infants' metaphysics: The case of numerical identity. Cognitive Psychology
30(2):111–53.Google Scholar
Target article
From “sense of number” to “sense of magnitude”: The role of continuous magnitudes in numerical cognition
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