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Set representations required for the acquisition of the “natural number” concept

  • Justin Halberda (a1) and Lisa Feigenson (a1)
Abstract
Abstract

Rips et al. consider whether representations of individual objects or analog magnitudes are building blocks for the concept natural number. We argue for a third core capacity – the ability to bind representations of individuals into sets. However, even with this addition to the list of starting materials, we agree that a significant acquisition story is needed to capture natural number.

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References
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Dehaene S. & Changeux J. P. (1993) Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience 5:390407.
Feigenson L. & Halberda J. (2004) Infants chunk object arrays into sets of individuals. Cognition 91:173–90.
Feigenson L. & Halberda J. (in press) Conceptual knowledge increases infants' memory capacity. Proceedings of the National Academy of Sciences USA.
Gallistel C. R. & Gelman R. (2000) Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences 4:5965.
Wynn K., Bloom P. & Chiang W.-C. (2002) Enumeration of collective entities by 5-month-old infants. Cognition 83:B55B62.
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Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
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