Abstract
In an article entitled “Western mathematics: The secret weapon of cultural imperialism,” the author argues that Western European colonizing societies of the 15th to 19th centuries were especially effective in imposing on subordinate populations the values of rationalism and “objectivism” – defined as a way of conceiving of the world as composed of discrete objects that could be abstracted from their contexts – primarily through “mathematico-technological cultural force” embedded in institutions relating to accounting, trade, administration, and education (Bishop, 1990).
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References
Arellano C. Quipu y tocapu: Sistemas de comunicación Incas. In: Pease F, editor. Los Incas: Arte y símbolos. Lima: Banco de Crédito del Perú; 1999. p. 215–261.
Ascher M, Ascher R. Mathematics of the Incas: Code of the quipus. New York: Dover; 1997.
Bishop AJ. Western mathematics: The secret weapon of cultural imperialism. Race and Class. 1990;32(2):51–65.
Buckmaster D. The Incan quipu and the Jacobsen hypothesis. Journal of Accounting Research. 1974;12(1):178–181.
Carruthers BG, Espeland WN. Accounting for rationality: Double-entry bookkeeping and the rhetoric of economic rationality. Journal of American Sociology. 1991;97:31–69.
Cieza de León, P. de. (1967). El señorio de los Incas. Lima: Instituto de Estudios Peruanos.
Conklin WJ. A khipu information string theory. In: Quilter J, Urton G, editors. Narrative threads: Accounting and recounting in Andean khipu. Austin: University of Texas Press; 2002. p. 53–86.
Craig Jr F. Coinage of the viceroyalty of el Perú. In: Bischoff WI, editor. The coinage of el Perú. New York: The American Numismatic Society; 1989.
Forrester DAR. The Incan contribution to double-entry accounting. Journal of Accounting Research. 1968;6(2):283.
Poma G, de Ayala F. El primer nueva corónica y buen gobierno. (J. L. Urioste, Trans.). In: Murra JV, Adorno R, editors. 3 vols. Siglo Veintiuno: Mexico City; 1980.
Guevara-Gil A, Salomon F. A “personal visit”: Colonial political ritual and the making of Indians in the Andes. Colonial Latin American review. 1994;3(1–2):3–36.
Hemming J. The conquest of the Incas. New York, NY: Harcourt Brace Jovanovich; 1970.
Jacobsen LE. The ancient Inca empire of Peru and the double entry accounting concept. Journal of Accounting Research. 1964;2(2):221–228.
Julien C. How Inca decimal administration worked. Ethnohistory. 1988;35(3):257–279.
Loza CB. Du bon usage des quipus face a l'administration coloniale Espagnole, 1553–1599. Population. 1998;53(2):139–60.
Mackey, C. (1970). Knot records of ancient and modern Peru. Unpublished Ph.D. dissertation, University of California, Berkeley. Ann Arbor: University Microfilms.
Miller P. On the interrelations between accounting and the state. Accounting, Organizations and Society. 1990;15(4):315–338.
Murra JV. The mit’a obligations of ethnic groups to the Inka state. In: Collier GA, Renato R, Wirth JD, editors. The Inca and Aztec states, 1400–1800: Anthropology and history. New York: Academic Press; 1982. p. 237–262.
Murúa, Fray M. de. (2001). Historia general del Perú. B. Gaibrois (Ed.). Madrid, Spain: Dastin Historia.
Murúa, Fray M. de. (2004). Códice Murúa — historia y genealogía de los reyes Incas del Perú del Padre Mercenario Fray Martín de Murúa (Códice Galvin). J. Ossio (Ed.). Madrid: Testimonio Compañía Editorial, S.A.
Parssinen M. Tawantinsuyu:The Inca state and its political organization. Helsinki: Societas Historica Finlandiae; 1992.
Parssinen M, Kiviharju J, editors. Textos Andinos: Corpus de textos khipu incaicos y coloniales (Vol. I). Madrid: Instituto Iberoamericano de Finlandia and Universidad Complutense de Madrid; 2004.
Peters RM, Emery DR. The role of negative numbers in the development of double entry bookkeeping. Journal of accounting research. 1978;16(2):424–426.
Platt T. “Without deceit or lies”: Variable chinu readings during a sixteenth-century tributerestitution trial. In: Quilter J, Urton G, editors. Narrative threads: accounting and recounting in Andean khipu. Austin, TX: University of Texas Press; 2002. p. 225–265.
Radicati di Primeglio, C. (2006). Estudios sobre los quipus. (G. Urton Trans., & Ed.). Lima: Fondo Editorial Universidad Nacional Mayor de San Marcos.
Salomon F. La moneda que a don Cristóbal se le cayó: El dinero como elemento simbólico en el texto Runa Yndio Ñiscap Machoncuna. In: Moreno S, Salomon F, editors. Reproducción y transformación de las sociedades andinas, siglos XVI-XX. Quito: Ediciones ABYA-YALA; 1991. p. 481–586.
Salomon F. The cord keepers: Khipus and cultural life in a Peruvian village. Durham, NH and London: Duke University Press; 2004.
Salomon F, Urioste JL. The Huarochirí manuscript: A testament of ancient and colonial Andean religion. Austin, TX: University of Texas Press; 1991.
Spalding K. Kurakas and commerce: A chapter in the evolution of Andean society. The Hispanic American Historical Review. 1973;53(4):581–599.
Stern SJ. Peru’s Indian peoples and the challenge of Spanish conquest. 2nd ed. Madison, WI: University of Wisconsin Press; 1993.
Swetz FJ. Capitalism and arithmetic: The new math of the 15th century. La Salle, IL: Open Court; 1989.
Urton G. A new twist in an old yarn: Variation in knot directionality in the Inka khipus. Baessler-archiv Neue Folge. 1994;42:271–305.
Urton G. Signs of the Inka khipu: Binary coding in the Andean knotted-string records. Austin, TX: University of Texas Press; 2003.
Urton G. Khipu archives: Duplicate accounts and identity labels in the Inka knotted string records. Latin American Antiquity. 2005;16(2):147–167.
Urton G. Censos registrados en cordeles con ‘amarres’: Padrones poblacionales pre-hispánicos y coloniales tempranos en los khipu Inka. Revista Andina. 2006;42:153–196.
Urton G. Sin, confession and the arts of book- and cord-keeping: An intercontinental and transcultural exploration of accounting and governmentality. Comparative Studies in Society and History. 2009;51(4):1–31.
Vargas Ugarte, R. (1959). Historia de la iglesia en el Perú (1570–1640) (Vol. 2). Burgos, Spain: Aldecoa.
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Urton, G. (2012). Mathematics and Accounting in the Andes Before and After the Spanish Conquest. In: Mukhopadhyay, S., Roth, WM. (eds) Alternative Forms of Knowing (in) Mathematics. New Directions in Mathematics and Science Education , vol 24. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6091-921-3_2
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DOI: https://doi.org/10.1007/978-94-6091-921-3_2
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