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Non‐symbolic halving in an Amazonian indigene group
Authors:Koleen McCrink  Elizabeth S. Spelke  Stanislas Dehaene  Pierre Pica
Affiliation:1. Department of Psychology, Barnard College, Columbia University, , USA;2. Department of Psychology, Harvard University, , USA;3. INSERM, Cognitive Neuro‐imaging Unit, Institut Fédératif de Recherche (IFR) 49, , France;4. Commissariat à l'Energie Atomique, NeuroSpin center, IFR 49, , France;5. Collège de France, , France;6. Université Paris‐Sud, IFR 49, , F‐91191 France;7. UMR 7023 Structures Formelles du Langage CNRS, Université Paris 8, , France
Abstract:Much research supports the existence of an Approximate Number System (ANS) that is recruited by infants, children, adults, and non‐human animals to generate coarse, non‐symbolic representations of number. This system supports simple arithmetic operations such as addition, subtraction, and ordering of amounts. The current study tests whether an intuition of a more complex calculation, division, exists in an indigene group in the Amazon, the Mundurucu, whose language includes no words for large numbers. Mundurucu children were presented with a video event depicting a division transformation of halving, in which pairs of objects turned into single objects, reducing the array's numerical magnitude. Then they were tested on their ability to calculate the outcome of this division transformation with other large‐number arrays. The Mundurucu children effected this transformation even when non‐numerical variables were controlled, performed above chance levels on the very first set of test trials, and exhibited performance similar to urban children who had access to precise number words and a surrounding symbolic culture. We conclude that a halving calculation is part of the suite of intuitive operations supported by the ANS.
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