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The limits of counting: numerical cognition between evolution and culture
Sieghard Beller1, Andrea Bender
1Department of Psychology, University of Freiburg, D-79085 Freiburg, Germany.
Science (New York, N.Y.)
|January 12, 2008
Summary
Complex numerical cognition requires infinite counting sequences. This study reveals that some short, object-specific counting systems evolved from abstract sequences, offering cognitive advantages for calculation.
Area of Science:
- Cognitive Science
- Linguistics
- Anthropology
Background:
- Abstract numerical cognition relies on the ability to count infinitely.
- Short or object-specific counting sequences are often seen as less evolved stages of numerical systems.
Purpose of the Study:
- To investigate the origin and cognitive implications of short or object-specific counting sequences.
- To challenge the view that these sequences represent earlier stages of numerical evolution.
Main Methods:
- Analysis of counting sequences from Melanesia and Polynesia.
- Comparative linguistic and cognitive analysis.
Main Results:
- Short/object-specific counting sequences in Melanesia and Polynesia originated from extensive, abstract sequences.
- Object-specific sequences provide cognitive advantages for non-notational calculation by using larger units, abbreviating numbers, and extending counting limits.
Conclusions:
- The evolution of numeration systems is more complex than previously thought.
- Object-specific counting systems can be cognitively advantageous, enhancing numerical cognition and calculation abilities.
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