Skip to main content
Log in

The Incan Quipus

  • Published:
Synthese Aims and scope Submit manuscript

Abstract

Quipus, knotted structures of woollen or cotton cords, were used as a bureaucratic tool in the Inca state. In the absense of a writing system, numerals and possibly other pieces of information were encoded on the quipus by tying knots into elaborately structured coloured cords. Though interpretation of the quipu contents is far from complete, some information on Inca mathematics can be deducted from the analysis of ancient specimen, especially when combined with the results of anthropological and linguistic research in contemporary Andean societies. In this paper, the quipus are introduced, their structure is explained, and some results on mathematical concepts of the Incas are presented based on a comparison of mathematical and anthropological literature on the subject.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  • Ascher, M. and Ascher, R.: 1981, Code of the Quipu, A Study in Media, Mathematics and Culture, Ann Arbor.

  • Julien, C. J.: 1988, ‘How Inca Decimal Administration Worked’, Ethnohistory 35, 357–379.

    Google Scholar 

  • Locke, L. L.: 1912, ‘The Ancient Quipu, a Peruvian Knot Record’, American Anthropologist 14, 325–332.

    Google Scholar 

  • Urton, G.: 1994, ‘A New Twist in an Old Yarn: Variation in Knot Directionality in the Inka Khipus’, Baessler-Archiv Neue Folge 42, 271–305.

    Google Scholar 

  • Urton, G.: 1997, The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic, Austin TX.

  • Urton, G.: 1998, ‘From Knots to Narratives: Reconstructing the Art of Historical Record Keeping in the Andes from Spanish Transcriptions of Inka Khipus’, Ethnohistory 45, 409–438.

    Google Scholar 

  • Zuidema, R. T.: 1964, The Ceque System of Cuzco: The Social Organization of the Capital of the Inca, Leiden.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Christensen, A. The Incan Quipus. Synthese 133, 159–172 (2002). https://doi.org/10.1023/A:1020835926872

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020835926872

Keywords

Navigation