Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence

Author:

Dehaene S.1,Spelke E.2,Pinel P.1,Stanescu R.1,Tsivkin S.2

Affiliation:

1. Unité INSERM 334, Service Hospitalier Frédéric Joliot, CEA/DSV, 91401 Orsay Cedex, France.

2. Department of Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Abstract

Does the human capacity for mathematical intuition depend on linguistic competence or on visuo-spatial representations? A series of behavioral and brain-imaging experiments provides evidence for both sources. Exact arithmetic is acquired in a language-specific format, transfers poorly to a different language or to novel facts, and recruits networks involved in word-association processes. In contrast, approximate arithmetic shows language independence, relies on a sense of numerical magnitudes, and recruits bilateral areas of the parietal lobes involved in visuo-spatial processing. Mathematical intuition may emerge from the interplay of these brain systems.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference73 articles.

1. J. Hadamard An Essay on the Psychology of Invention in the Mathematical Field (Princeton Univ. Press Princeton NJ 1945).

2. A. Einstein cited in (1) p. 142.

3. L. E. J. Brouwer Cambridge Lectures on Intuitionism (Cambridge Univ. Press Cambridge 1981).

4. Bourbaki N., J. Symb. Logic 14, 1 (1948);

5. ; D. Hilbert and W. Ackermann Principles of Mathematical Logic (Chelsea New York 1950); A. N. Whitehead and B. Russell Principia Mathematica (Cambridge Univ. Press Cambridge 1910).

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