Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-11T06:09:41.809Z Has data issue: false hasContentIssue false

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, Belgiumwim.fias@ugent.behttp://expsy.ugent.betom.verguts@ugent.behttp://users.ugent.be/~tverguts/
Tom Verguts
Affiliation:
Department of Experimental Psychology, Ghent University, B-9000 Ghent, Belgiumwim.fias@ugent.behttp://expsy.ugent.betom.verguts@ugent.behttp://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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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