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Original Articles

An Extended Mind Perspective on Natural Number Representation

Pages 475-490
Published online: 02 Sep 2008
 

Experimental studies indicate that nonhuman animals and infants represent numerosities above three or four approximately and that their mental number line is logarithmic rather than linear. In contrast, human children from most cultures gradually acquire the capacity to denote exact cardinal values. To explain this difference, I take an extended mind perspective, arguing that the distinctly human ability to use external representations as a complement for internal cognitive operations enables us to represent natural numbers. Reviewing neuroscientific, developmental, and anthropological evidence, I argue that the use of external media that represent natural numbers (like number words, body parts, tokens or numerals) influences the functional architecture of the brain, which suggests a two-way traffic between the brain and cultural public representations.

Acknowledgements

Many thanks to Johan De Smedt and two reviewers for their suggestions to an earlier version of this paper, and to Pierre Pica for discussions on the heterogeneity of numerical representations. This research was supported by grant OZR916BOF of the Free University of Brussels.

Notes

Note

[1] There are many alternative theoretical models to explain numerical skills in infants and nonhuman animals, including linear mental number lines with scalar variability, two core systems of number (one for small numerosities up to three or four and another for larger, approximate magnitudes) and object files. However, the choice of the model does not matter for the argument I am developing here.

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