Quipus, Writing, and Mathematics: Historiographical Debates on the Recording Systems of the Inca Empire
Keywords:
Khipu, Inca Empire, History of Mathematics, Recording Systems, EpistemologyAbstract
Khipus stretch Western boundaries between mathematics, writing, and memory. This article investigates how these categories forged khipus as scientific objects from the 16th to 21st century. Countering a linear discovery narrative, it argues that interpretive oscillations reflect epistemological mutations, analyzed via Grattan-Guinness’s heritage/history distinction and the historical ontology of Hacking and Daston. The mapping reveals how each era reconfigured the cords, from fiscal tools to Andean writing candidates showing, that these readings form competing research programs whose tensions remain productively open.
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References
ACOSTA, José de. Historia natural y moral de las Indias. Sevilha: Juan de León, 1590.
ASCHER, Marcia. Ethnomathematics: A Multicultural View of Mathematical Ideas. Belmont: Brooks/Cole, 1991.
ASCHER, Marcia; ASCHER, Robert. Mathematics of the Incas: Code of the Quipu. Mineola: Dover Publications, 1997.
BROKAW, Galen. A History of the Khipu. Cambridge: Cambridge University Press, 2010.
CIEZA DE LEÓN, Pedro. Crónica del Perú. Sevilha: Martin de Montesdoca, 1553.
D'AMBROSIO, Ubiratan. Etnomatemática: elo entre as tradições e a modernidade. Belo Horizonte: Autêntica, 2001.
EPPLE, Moritz. Cultures of mathematical research. Isis, v. 102, n. 4, p. 703-710, 2011.
GARCILASO DE LA VEGA, Inca. Comentarios reales de los Incas. Lisboa: Pedro Crasbeeck, 1609.
GRATTAN-GUINNESS, Ivor. History or heritage? An alternative distinction in the history of mathematics. The Mathematical Intelligencer, v. 26, n. 1, p. 33-47, 2004.
GRAY, Jeremy. Plato's Ghost: The Modernist Transformation of Mathematics. Princeton: Princeton University Press, 2008.
GUAMÁN POMA DE AYALA, Felipe. Nueva corónica y buen governo. [S. l.: s. n.], 1615.
HYLAND, Sabine. Writing with Knotted Cords: The Quipus of Collata, Peru. Current Anthropology, v. 58, n. 3, p. 532-556, 2017.
LOCKE, L. Leland. The Ancient Quipu, a Peruvian Knot Record. New York: American Museum of Natural History, 1923.
MACKEY, Carol J. Knot Records in Ancient and Modern Peru. Tese (Doutorado) – University of California, Berkeley, 1970.
MURRA, John V. The Economic Organization of the Inka State. Greenwich: JAI Press, 1980.
SALOMON, Frank. The Cord Keepers: Khipus and Cultural Life in a Peruvian Village. Durham: Duke University Press, 2004.
URTON, Gary. Signs of the Inka Khipu: Binary Coding in the Andean Knotted Cord Records. Austin: University of Texas Press, 2003.
URTON, Gary. Inka History in Knots: Reading Khipus as Primary Sources. Austin: University of Texas Press, 2017.
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