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The case for a notation-independent representation of number

Published online by Cambridge University Press:  27 August 2009

Stanislas Dehaene
Stanislas Dehaene
Affiliation:
Inserm-CEA Cognitive Neuroimaging Unit, NeuroSpin Center, CEA/SAC/DSV/I2BM, Bât 145, Point Courrier 156, F-91191 Gif/Yvette, France. Stanislas.Dehaene@cea.frhttp://www.unicog.org
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Abstract

Cohen Kadosh & Walsh (CK&W) neglect the solid empirical evidence for a convergence of notation-specific representations onto a shared representation of numerical magnitude. Subliminal priming reveals cross-notation and cross-modality effects, contrary to CK&W's prediction that automatic activation is modality and notation-specific. Notation effects may, however, emerge in the precision, speed, automaticity, and means by which the central magnitude representation is accessed.

Information

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 32 , Issue 3-4 , August 2009 , pp. 333 - 335
Copyright
Copyright © Cambridge University Press 2009

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References

Campbell, J. I. D. & Clark, J. M. (1988) An encoding complex view of cognitive number processing: Comment on McCloskey, Sokol, & Goodman (1986). Journal of Experimental Psychology: General 117:204–14.Google Scholar
Dehaene, S. (1996) The organization of brain activations in number comparison: Event-related potentials and the additive-factors method. Journal of Cognitive Neuroscience 8:47–68.CrossRefGoogle ScholarPubMed
Dehaene, S. (2007) Symbols and quantities in parietal cortex: Elements of a mathematical theory of number representation and manipulation. In: Attention & performance XXII. Sensori-motor foundations of higher cognition, ed. Haggard, P. & Rossetti, Y., pp. 527–74. Harvard University Press.Google Scholar
Dehaene, S. & Changeux, J. P. (1993) Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience 5:390–407.CrossRefGoogle ScholarPubMed
Dehaene, S. & Cohen, L. (2007) Cultural recycling of cortical maps. Neuron 56(2):384–98.CrossRefGoogle ScholarPubMed
Dehaene, S., Izard, V., Spelke, E. & Pica, P. (2008) Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science 320(5880):1217–20.CrossRefGoogle ScholarPubMed
Dehaene, S., Naccache, L., Le Clec'H, G., Koechlin, E., Mueller, M., Dehaene-Lambertz, G., Van de Moortele, P. F. & Le Bihan, D. (1998b) Imaging unconscious semantic priming. Nature 395:597–600.CrossRefGoogle ScholarPubMed
Diester, I. & Nieder, A. (2007) Semantic associations between signs and numerical categories in the prefrontal cortex. PLoS Biology 5(11):e294; 2684–95.CrossRefGoogle ScholarPubMed
Eger, E., Michel, V., Thirion, B., Amadon, A., Dehaene, S. & Kleinschmidt, A. (submitted) Decoding of individual number information from spatial activation patterns in human intraparietal cortex.Google Scholar
Gilmore, C. K., McCarthy, S. E. & Spelke, E. S. (2007) Symbolic arithmetic knowledge without instruction. Nature 447(7144):589–91.CrossRefGoogle ScholarPubMed
Girelli, L., Lucangeli, D. & Butterworth, B. (2000) The development of automaticity in accessing number magnitude. Journal of Experimental Child Psychology 76(2): 104–22.CrossRefGoogle ScholarPubMed
Jacob, S. N. & Nieder, A. (2009) Notation-independent representation of fractions in the human parietal cortex. Journal of Neuroscience 29(14):4652–57.CrossRefGoogle ScholarPubMed
Knops, A., Thirion, B., Hubbard, E. M., Michel, V. & Dehaene, S. (2009) Recruitment of an area involved in eye movements during mental arithmetic. Science 324:1583–85.Google ScholarPubMed
Kouider, S. & Dehaene, S. (in press) Subliminal number priming within and across the visual and auditory modalities. Experimental Psychology.Google Scholar
Naccache, L. & Dehaene, S. (2001a) The priming method: Imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. Cerebral Cortex 11(10):966–74.CrossRefGoogle ScholarPubMed
Nieder, A., Diester, I. & Tudusciuc, O. (2006) Temporal and spatial enumeration processes in the primate parietal cortex. Science 313(5792):1431–35.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):293–305.CrossRefGoogle ScholarPubMed
Pinel, P., Piazza, M., Le Bihan, D. & Dehaene, S. (2004) Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41(6):983–93.CrossRefGoogle ScholarPubMed
Pouget, A., Deneve, S. & Duhamel, J. R. (2002) A computational perspective on the neural basis of multisensory spatial representations. Nature Reviews Neuroscience 3(9):741–47.CrossRefGoogle ScholarPubMed
Reynvoet, B. & Brysbaert, M. (2004) Cross-notation number priming investigated at different stimulus onset asynchronies in parity and naming tasks. Experimental Psychology 51(2):81–90.CrossRefGoogle ScholarPubMed
Reynvoet, B., Brysbaert, M. & Fias, W. (2002) Semantic priming in number naming. Quarterly Journal of Experimental Psychology A 55(4):1127–39.CrossRefGoogle ScholarPubMed
Roggeman, C., Verguts, T. & Fias, W. (2007) Priming reveals differential coding of symbolic and non-symbolic quantities. Cognition 105(2):380–94.Google 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.Google ScholarPubMed
Siegler, R. S. & Opfer, J. E. (2003) The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science 14(3):237–43.CrossRefGoogle ScholarPubMed
Tudusciuc, O. & Nieder, A. (2007) Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proceedings of the National Academy of Sciences USA 104(36):14513–18.CrossRefGoogle ScholarPubMed
Verguts, T. & Fias, W. (2004) Representation of number in animals and humans: A neural model. Journal of Cognitive Neuroscience 16(9):1493–504.CrossRefGoogle ScholarPubMed