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

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

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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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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