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Not all basic number representations are analog: Place coding as a precursor of the natural number system

Published online by Cambridge University Press:  11 December 2008

Wim Fias
Affiliation:
Department of Experimental Psychology, Ghent University, B-9000 Ghent, [email protected]://[email protected]://users.ugent.be/~tverguts/
Tom Verguts
Affiliation:
Department of Experimental Psychology, Ghent University, B-9000 Ghent, [email protected]://[email protected]://users.ugent.be/~tverguts/

Abstract

Rips et al.'s arguments for rejecting basic number representations as a precursor of the natural number system are exclusively based on analog number coding. We argue that these arguments do not apply to place coding, a type of basic number representation that is not considered by Rips et al.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2008

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References

Cantlon, J. F., Brannon, E. M., Carter, E. J. & Pelphrey, K. A. (2006) Functional imaging of numerical processing in adults and 4-year-old children. PLoS Biology 4(5):844–54 (e125).CrossRefGoogle Scholar
Diester, I. & Nieder, A. (2007) Semantic associations between signs and numerical categories in the prefrontal cortex. PloS Biology 5:2684–95.CrossRefGoogle ScholarPubMed
Fias, W. & Fischer, M. H. (2005) Spatial representation of number. In: Handbook of mathematical cognition, ed. Campbell, J. I. D., pp. 4354. Psychology Press.Google Scholar
Nieder, A., Freedman, D. J. & Miller, E. K. (2002) Representation of the quantity of visual items in the primate prefrontal cortex. Science 297(5587):1708–11.CrossRefGoogle ScholarPubMed
Nuerk, H.-C., Weger, U. & Willmes, K. (2001) Decade breaks in the mental number line? Putting the 10s and the units back in different bins. Cognition 82:2533.CrossRefGoogle Scholar
Piazza, M., Izard, V., Pinel, P., Le Bihan, D. & Dehaene, S. (2004) Tuning curves for approximate numerosity in the human intraparietal sulcus. Neuron 44(3):547–55.CrossRefGoogle ScholarPubMed
Piazza, M., Pinel, P., Le Bihan, D. & Dehaene, S. (2007) A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron 53(2):293305.CrossRefGoogle ScholarPubMed
Ratinckx, E., Brysbaert, M. & Fias, W. (2005) Naming two-digit Arabic numerals: Evidence from masked priming studies. Journal of Experimental Psychology: Human Perception and Performance 31(5):1150–63.Google ScholarPubMed
Roggeman, C., Verguts, T. & Fias, W. (2007). Priming reveals differential coding of symbolic and non-symbolic quantities. Cognition 105:380–94.CrossRefGoogle ScholarPubMed
Roitman, J. D., Brannon, E. M. & Platt, M. L. (2007) Monotonic coding of numerosity in macaque lateral intraparietal area. PLoS Biology 5(8):e208.CrossRefGoogle ScholarPubMed
Verguts, T. & De Moor, W. (2005) Two-digit comparison: Decomposed, holistic, or hybrid? Experimental Psychology 52:195200.CrossRefGoogle ScholarPubMed
Verguts, T. & Fias, W. (2004) Representation of number in animals and humans: A neural model. Journal of Cognitive Neuroscience 16(9):14931504.CrossRefGoogle ScholarPubMed
Verguts, T. & Fias, W. (2006) Lexical and syntactic structures in a connectionist model of reading multi-digit numbers. Connection Science 18(3):265–85.CrossRefGoogle Scholar
Verguts, T., Fias, W. & Stevens, M. (2005) A model of exact small-number representation. Psychonomic Bulletin and Review 12(1):6680.CrossRefGoogle Scholar