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Chapter 5 - The Development of Arithmetic

from Part II - Phylogeny and History

Published online by Cambridge University Press:  15 March 2024

Markus Pantsar
Affiliation:
Aachen University of Technology
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Summary

In Chapter 5, the focus is on the development of arithmetical operations. I review empirical literature and argue that addition has plausibly developed as a direct continuation of counting procedures, which in turn made it possible to develop other arithmetical operations (multiplication, subtraction, and division). After that, reviewing literature on different cultures, I show the importance of arithmetical applications for the development of arithmetic – or the lack of it. While arithmetical operations have developed in similar ways in different cultures (when arithmetic was indeed developed), in the final section I show how some aspects of Western arithmetic – for example, proofs, axiomatisations and infinity – are more culturally specific.

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Publisher: Cambridge University Press
Print publication year: 2024

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  • The Development of Arithmetic
  • Markus Pantsar, Aachen University of Technology
  • Book: Numerical Cognition and the Epistemology of Arithmetic
  • Online publication: 15 March 2024
  • Chapter DOI: https://doi.org/10.1017/9781009468862.009
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  • The Development of Arithmetic
  • Markus Pantsar, Aachen University of Technology
  • Book: Numerical Cognition and the Epistemology of Arithmetic
  • Online publication: 15 March 2024
  • Chapter DOI: https://doi.org/10.1017/9781009468862.009
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The Development of Arithmetic
  • Markus Pantsar, Aachen University of Technology
  • Book: Numerical Cognition and the Epistemology of Arithmetic
  • Online publication: 15 March 2024
  • Chapter DOI: https://doi.org/10.1017/9781009468862.009
Available formats
×