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Abstract or not abstract? Well, it depends …

Published online by Cambridge University Press:  27 August 2009

Alison Pease ,
Alan Smaill  and
Markus Guhe
Alison Pease
Affiliation:
School of Informatics, University of Edinburgh, Edinburgh EH8 9AB, Scotland, United Kingdom. [email protected]@[email protected]
Alan Smaill
Affiliation:
School of Informatics, University of Edinburgh, Edinburgh EH8 9AB, Scotland, United Kingdom. [email protected]@[email protected]
Markus Guhe
Affiliation:
School of Informatics, University of Edinburgh, Edinburgh EH8 9AB, Scotland, United Kingdom. [email protected]@[email protected]
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Abstract

The target article by Cohen Kadosh & Walsh (CK&W) raises questions as to the precise nature of the notion of abstractness that is intended. We note that there are various uses of the term, and also more generally in mathematics, and suggest that abstractness is not an all-or-nothing property as the authors suggest. An alternative possibility raised by the analysis of numerical representation into automatic and intentional codes is suggested.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 32 , Issue 3-4 , August 2009 , pp. 345 - 346
Copyright
Copyright © Cambridge University Press 2009

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References

Barsalou, L. W. (2003) Abstraction in perceptual symbol systems. Philosophical Transactions of the Royal Society B: Biological Sciences 358:1177–87.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. 389–431. Erlbaum.Google Scholar
Dehaene, S., Dehaene-Lambertz, G. & Cohen, L. (1998a) Abstract representations of numbers in the animal and human brain. Trends in Neurosciences 21:355–61.CrossRefGoogle ScholarPubMed
Lakoff, G. (2008) The neural theory of metaphor. In: The Cambridge handbook of metaphor and thought, ed. Gibbs, R. W. Jr.Cambridge University Press.Google Scholar
Lakoff, G. & Núñez, R. E. (2000) Where mathematics comes from: How the embodied mind brings mathematics into being. Basic Books.Google Scholar
Simon, T. J., Hespos, S. J. & Rochat, P. (1995) Do infants understand simple arithmetic? A replication of Wynn (1992). Cognitive Development 10:253–69.CrossRefGoogle Scholar
Wilson, M. (2002) Six views of embodied cognition. Psychonomic Bulletin and Review 9(4):625–36.CrossRefGoogle ScholarPubMed