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The First Representations of Numbers and the Development of the Number Concept

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Abstraction and Representation

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 175))

Abstract

Due to early practice and habit we are so familiar with manipulating numbers that we hardly ever stop to think about the intellectual achievement represented by the detachment of the designation for a quantity from the counted object itself. Ethnological investigations of primitive peoples without an abstract number concept in our present sense first indicated that this separation must not be taken for granted. Despite this, archaeologists always assumed the existence of such a number concept when interpreting the oldest known written documents which come from the period between 3200 and 3000 B.C.

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Bibliography

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© 1996 Springer Science+Business Media Dordrecht

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Englund, R.K., Nissen, H.J. (1996). The First Representations of Numbers and the Development of the Number Concept. In: Abstraction and Representation. Boston Studies in the Philosophy of Science, vol 175. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8624-5_8

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  • DOI: https://doi.org/10.1007/978-94-015-8624-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4644-4

  • Online ISBN: 978-94-015-8624-5

  • eBook Packages: Springer Book Archive

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