Philosophical Psychology 21 (4):491 – 505 (2008)

Authors
Pierre Pica
Centre National de la Recherche Scientifique
Abstract
Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers.
Keywords exact equality  mundurucu  sucessor function
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DOI 10.1080/09515080802285354
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References found in this work BETA

Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
The Child's Conception of Number.J. Piaget - 1953 - British Journal of Educational Studies 1 (2):183-184.
Children's Understanding of Counting.Karen Wynn - 1990 - Cognition 36 (2):155-193.

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Citations of this work BETA

Early Numerical Cognition and Mathematical Processes.Markus Pantsar - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):285-304.

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