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In search of non-abstract representation of numbers: Maybe on the right track, but still not there

Published online by Cambridge University Press:  27 August 2009

Joseph Tzelgov
Affiliation:
Department of Psychology, Achva Academic College, M. P. Shikmim, 79800, Israel. tzelgov@bgu.ac.ilhttp://bgu.ac.il/~tzelgov/ Department of Psychology, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel. pinchas@bgu.ac.il
Michal Pinhas
Affiliation:
Department of Psychology, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel. pinchas@bgu.ac.il

Abstract

We agree that the default numerical representation is best accessed by probing automatic processing. The locus of this representation is apparently at the horizontal intraparietal sulcus (HIPS), the convergence zone of magnitude information. The parietal lobes are the right place to look for non-abstract representation of magnitude, yet the proof for that is still to be found.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2009

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References

Ansari, D. (2008) Effects of development and enculturation on number representation in the brain. Nature Reviews Neuroscience 9(4):278–91.CrossRefGoogle ScholarPubMed
Barsalou, L. W. (1999) Perceptual symbol systems. Behavioral and Brain Sciences 22:577660.CrossRefGoogle ScholarPubMed
Barsalou, L. W. (2005) Abstraction as dynamic interpretation in perceptual symbol systems. In: Building object categories, Carnegie Symposium series, ed. Gershoff-Stowe, L. & Rakinson, D., pp. 389431. Erlbaum.Google Scholar
Cohen Kadosh, R., Tzelgov, J. & Henik, A. (2008g) A synesthetic walk on the mental number line: The size effect. Cognition 106:548–57.CrossRefGoogle ScholarPubMed
Damasio, A. R. (1989) Time-locked multiregional retroactivation: A systems-level proposal for the neural substrates of recall and recognition. Cognition 33:2562.CrossRefGoogle ScholarPubMed
Dehaene, S., Piazza, M., Pinel, P. & Cohen, L. (2003) Three parietal circuits for number processing. Cognitive Neuropsychology 20(3–6):487506.CrossRefGoogle ScholarPubMed
Ganor-Stern, D., Tzelgov, J. & Ellenbogen, R. (2007) Automaticity and two-digit numbers. Journal of Experimental Psychology: Human Perception and Performance 33(2):483–96.Google ScholarPubMed
Kallai, A. Y. & Tzelgov, J.(in press)A generalized fraction: An entity smaller than one on the mental number line. Journal of Experimental Psychology: Human Perception and Performance.Google Scholar
Logan, G. D. (1988) Toward an instance theory of automatization. Psychological Review 95:492527.CrossRefGoogle Scholar
Moyer, R. S. & Landauer, T. K. (1967) Time required for judgment of numerical inequality. Nature 215:1519–20.CrossRefGoogle ScholarPubMed
Perruchet, P. & Vinter, A. (2002) The self-organized consciousness. Behavioral and Brain Sciences 25:297388.Google Scholar
Restle, F. (1970) Speed of adding and comparing numbers. Journal of Experimental Psychology 83:274–78.CrossRefGoogle Scholar
Tzelgov, J. & Ganor-Stern, D. (2005) Automaticity in processing ordinal information. In: Handbook of mathematical cognition, ed. Campbell, J. I. D., pp. 5566. Psychology Press.Google Scholar
Tzelgov, J., Ganor-Stern, D. & Maymon-Schreiber, K. (2009) The representation of negative numbers: Exploring the effects of mode of processing and notation. Quarterly Journal of Experimental Psychology 62(3):605–24.CrossRefGoogle ScholarPubMed
Tzelgov, J., Yehene, V., Kotler, L. & Alon, A. (2000) Automatic comparisons of artificial digits never compared: Learning linear ordering relations. Journal of Experimental Psychology: Learning, Memory and Cognition 26:103–20.Google ScholarPubMed
Verguts, T., Fias, W. & Stevens, M. (2005) A model of exact small-number representation. Psychonomic Bulletin and Review 12:6680.CrossRefGoogle Scholar
Verguts, T. & Van Opstal, F. (2008) A colorful walk, but is it on the mental number line? Reply to Cohen Kadosh, Tzelgov, and Henik. Cognition 106:558–63.CrossRefGoogle Scholar