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How do spatial representations enhance cognitive numerical processing?

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Abstract

Several philosophical theories attempt to explain how actions performed in the world enhance cognitive processing: internalism, active externalism, and cognitive integration. The aim of this paper is to examine whether the use of spatial representations in arithmetic can shed light on this debate. Relying on philosophical analysis, on a discussion of empirical work in the cognitive neuroscience of number, and on a historical case study, I will show that spatial representations of number indicate an integration between internal and external cognitive processes.

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Notes

  1. This method is an alternative way of solving simultaneous linear equations, predating Gaussian elimination.

References

  • Adams F, Aizawa K (2001) The bounds of cognition. Philos Psychol 14:43–64

    Article  Google Scholar 

  • Barabashev AG (1997) In support of significant modernization of original mathematical texts (in defense of presentism). Philos Math 5:21–41

    Article  Google Scholar 

  • Chemla K, Guo S (2004) Les neuf chapitres. Le classique mathématique de la Chine ancienne et ses commentaires. Dunod, Paris

    Google Scholar 

  • Clark A, Chalmers D (1998) The extended mind. Analysis 58:7–19

    Article  Google Scholar 

  • Cohen Kadosh R, Walsh V (2009) Numerical representation in the parietal lobes: abstract or not abstract? Behav Brain Sci 32:313–328

    Article  PubMed  Google Scholar 

  • De Cruz H, De Smedt J (2010) The innateness hypothesis and mathematical concepts. Topoi 29:3–13

    Article  Google Scholar 

  • De Cruz H, De Smedt J (in press) Mathematical symbols as epistemic actions. Synthese

  • Dehaene S, Izard V, Spelke ES, Pica P (2008) Log or linear? Distinct intuitions of the number scale in western and Amazonian indigene cultures. Science 320:1217–1220

    Article  PubMed  CAS  Google Scholar 

  • Hart R (2010) The Chinese roots of linear algebra. Johns Hopkins University Press, Baltimore

    Google Scholar 

  • Menary R (2007) Cognitive integration: attacking the bounds of cognition. Palgrave, Basingstoke

    Google Scholar 

  • Siegler R, Ramani G (2008) Playing linear numerical board games promotes low-income children’s numerical development. Dev Sci 11:655–661

    Article  PubMed  Google Scholar 

  • Sparrow B, Liu J, Wegner D (2011) Google effects on memory: cognitive consequences of having information at our fingertips. Science 333:776–778

    Article  PubMed  CAS  Google Scholar 

  • Tudusciuc O, Nieder A (2007) Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proc Natl Acad Sci USA 104:14513–14518

    Article  PubMed  CAS  Google Scholar 

Download references

Conflict of interest

This supplement was not sponsored by outside commercial interests. It was funded entirely by ECONA, Via dei Marsi, 78, 00185 Roma, Italy.

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Correspondence to Helen De Cruz.

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De Cruz, H. How do spatial representations enhance cognitive numerical processing?. Cogn Process 13 (Suppl 1), 137–140 (2012). https://doi.org/10.1007/s10339-012-0445-0

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