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Numbers and numerosities: Absence of abstract neural realization doesn't mean non-abstraction

Published online by Cambridge University Press:  27 August 2009

Rafael E. Núñez
Affiliation:
Department of Cognitive Science, University of California, San Diego, La Jolla, CA 92093-0515. [email protected]://www.cogsci.ucsd.edu/~nunez/web/index.html

Abstract

The neural realization of number in abstract form is implausible, but from this it doesn't follow that numbers are not abstract. Clear definitions of abstraction are needed so they can be applied homogenously to numerical and non-numerical cognition. To achieve a better understanding of the neural substrate of abstraction, productive cognition – not just comprehension and perception – must be investigated.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2009

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References

AAAS, American Association for the Advancement of Science (2006) Back to the future. Science 312:1723.CrossRefGoogle Scholar
Barsalou, L. W. (2003) Abstraction in perceptual symbol systems. Philosophical Transactions of the Royal Society B: Biological Sciences 358:1177–87.CrossRefGoogle ScholarPubMed
Lakoff, G. & Núñez, R. E. (2000) Where mathematics comes from: How the embodied mind brings mathematics into being. Basic Books.Google Scholar
McNeill, D. (1992) Hand and mind. What gestures reveal about thought. University of Chicago Press.Google Scholar
Núñez, R. (1999) Could the future taste purple? In: Reclaiming cognition: The primacy of action, intention, and emotion, ed. Núñez, R. & Freeman, W., pp. 4160. Imprint Academic.Google Scholar
Núñez, R. (2006) Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In: 18 unconventional essays on the nature of mathematics, ed. Hersh, R., pp. 160–81. Springer.CrossRefGoogle Scholar
Núñez, R. (in press) Enacting infinity: Bringing transfinite cardinals into being. In: Enaction: Towards a new paradigm in cognitive science, ed. Stewart, J., Gapenne, O. & Di Paolo, E.. MIT Press.Google Scholar
Núñez, R. E., Huang, R.-S. & Sereno, M. (2007) Neural basis of metaphorical abstraction: An fMRI study of ego-reference-point spatial construals of time. In: 2007 Annual Meeting of the Cognitive Neuroscience Society, New York, ed. Cognitive Neuroscience Society, pp. 284–85. MIT Press.Google Scholar
Núñez, R. E. & Sweetser, E. (2006) With the future behind them: Convergent evidence from Aymara language and gesture in the crosslinguistic comparison of spatial construals of time. Cognitive Science 30:401–50.CrossRefGoogle ScholarPubMed