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
Damerow, P.: “Individual Development and Cultural Evolution of Arithmetical Thinking.” In Strauss, S. (Ed.): Ontogeny, Phylogeny and Historical Development. Norwood, NJ: Ablex, 1988, pp. 125–152.
Damerow, P. & Englund, R. K.: “Die Zahlzeichensysteme der Archaischen Texte aus Uruk.” In Green, M. W. & Nissen, H. J. (Eds.): Zeichenliste der Archaischen Texte aus Uruk. Berlin: Mann, 1987, pp. 117–166.
Damerow, P., Englund, R. K. & Nissen. H. J.: “Die Entstehung der Schrift.” In Spektrum der Wissenschaft, February, 1988, pp. 74–85.
Englund, R. K.: “Administrative Timekeeping in Ancient Mesopotamia.” In Journal of the Economic and Social History of the Orient, 31, 1988, pp. 121–185.
Friberg, J.: The Early Roots of Babylonian Mathematics, Vols. l and H. Göteborg: Chalmers Technische Hochschule, 1978/1979.
Friberg, J.: “Numbers and Measurements in the First Written Records.” In Scientific American, 250, 1984, pp. 110–118.
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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
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