Philosophical Psychology 21 (4):491 – 505 (2008)
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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.
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Keywords | exact equality mundurucu sucessor function |
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DOI | 10.1080/09515080802285354 |
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References found in this work BETA
Exact and Approximate Arithmetic in an Amazonian Indigene Group.Pierre Pica, Cathy Lemer, Véronique Izard & Stanislas Dehaene - 2004 - Science 306 (5695):499-503.
Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
Large Number Discrimination in 6-Month-Old Infants.Fei Xu & Elizabeth S. Spelke - 2000 - Cognition 74 (1):1-11.
The Child's Conception of Number.J. Piaget - 1953 - British Journal of Educational Studies 1 (2):183-184.
View all 21 references / Add more references
Citations of this work BETA
Numerical Ordering Ability Mediates the Relation Between Number-Sense and Arithmetic Competence.Ian M. Lyons & Sian L. Beilock - 2011 - Cognition 121 (2):256-261.
The Enculturated Move From Proto-Arithmetic to Arithmetic.Markus Pantsar - 2019 - Frontiers in Psychology 10.
Mathematical Cognition and Enculturation: Introduction to the Synthese Special Issue.Markus Pantsar - 2020 - Synthese 197 (9):3647-3655.
Early Numerical Cognition and Mathematical Processes.Markus Pantsar - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):285-304.
Cognitive Structuralism: Explaining the Regularity of the Natural Numbers Progression.Paula Quinon - 2021 - Review of Philosophy and Psychology 13 (1):127-149.
View all 16 citations / Add more citations
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