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Look Ma, no fingers! Are children numerical solipsists?

Published online by Cambridge University Press:  11 December 2008

Peter Gordon
Affiliation:
Biobehavioral Sciences Department, Teachers College, Columbia University, New York, NY [email protected]://www.tc.edu/faculty/index.htm?facid=pg328

Abstract

I ask whether it is necessary that principles of number be mentally represented and point to the role of language in determining cultural variation. Some cultures possess extensive counting systems that are finite. I suggest that learning number principles is similar to learning conservation and, as such, might be derived from learning about the empirical properties of objects and other individuals in combinations.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2008

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References

Beller, S. & Bender, A. (2008) The limits of counting: Numerical cognition between evolution and culture. Science 319:213–15.CrossRefGoogle ScholarPubMed
Carey, S. (1987) Theory changes in childhood. In: Piaget today, ed. Inhelder, B., Caprona, D. & Cornu-Wells, A., pp. 141–63. Erlbaum.Google Scholar
Derbyshire, D. (1979) Hixkaryana. North-Holland.Google Scholar
Everett, D. (2005) Cultural constraints on grammar and cognition in Pirahã: Another look at the design features of human language. Current Anthropology 46:621–46.CrossRefGoogle Scholar
Gordon, P. (2004) Numerical cognition without words: Evidence from Amazonia. Science 306:496–99.CrossRefGoogle ScholarPubMed
Menninger, K. (1898/1969) Number words and number symbols. MIT Press. (Original work published 1898).Google Scholar
Piaget, J. (1952) The child's conception of number. Routledge and Kegan Paul/Humanities Press.Google Scholar
Pica, P., Lemer, C., Izard, V. & Dehaene, S. (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306:499503.CrossRefGoogle Scholar