Exact and Approximate Arithmetic in an Amazonian Indigene Group
@article{Pica2004ExactAA, title={Exact and Approximate Arithmetic in an Amazonian Indigene Group}, author={Pierre Pica and Cathy Lemer and V{\'e}ronique Izard and Stanislas Dehaene}, journal={Science}, year={2004}, volume={306}, pages={499 - 503} }
Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with…
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55 References
Numerical Cognition Without Words: Evidence from Amazonia
- LinguisticsScience
- 2004
Results of numerical tasks with varying cognitive demands show that numerical cognition is clearly affected by the lack of a counting system in the Pirahã tribe, suggesting an analog estimation process.
Approximate quantities and exact number words: dissociable systems
- Psychology, BiologyNeuropsychologia
- 2003
Nonverbal Counting in Humans: The Psychophysics of Number Representation
- Psychology, Biology
- 1999
The results support the hypothesis that adult humans share with nonverbal animals a system for representing number by magnitudes that have scalar variability (a constant coefficient of variation) and provide a formal model of the underlying nonverbal meaning of the symbols.
Two mental calculation systems: A case study of severe acalculia with preserved approximation
- PsychologyNeuropsychologia
- 1991
Numbers, language, and the human mind
- Linguistics
- 2003
Introduction 1. Numbers and objects 2. What does it mean to be a number? 3. Can words be numbers? 4. The language legacy 5. Children's route to number: from iconic representations to numerical…
Abstract representations of numbers in the animal and human brain
- Psychology, BiologyTrends in Neurosciences
- 1998
Addition and subtraction by human infants
- PsychologyNature
- 1992
5-month-old infants can calculate the results of simple arithmetical operations on small numbers of items, which indicates that infants possess true numerical concepts, and suggests that humans are innately endowed with arathmetical abilities.