The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic

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University of Texas Press, 1997 - Mathematics - 267 pages
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Unraveling all the mysteries of the khipu—the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies—will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes.

Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.

  

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Contents

Anthropology and the Philosophy of Arithmetic
1
The Cardinal Numbers and Their Social Relations
39
Ordinal Numerals The Reproduction and Succession of Numbers
66
Yupay Counting Recounting and the Fabric of Numbers
96
Quechua Arithmetic as an Art of Rectification
138
Numbers and Arithmetic in PreHispanic and Colonial Andean Societies
173
Conclusions
213
Quechua Number Symbols and Metaphors
221
Notes
235
Bibliography
239
Index
251
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JSTOR: The Social Life of Numbers: A Quechua Ontology of Numbers ...
The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. Kendall A. King. American Ethnologist, Vol. 26, No. 2, 484-485. ...
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Urton, The Social Life of Numbers, University of Texas Press
A pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among ...
www.utexas.edu/ utpress/ books/ urtsoc.html

The Social Life of Numbers: A Quechua Ontology of Numbers and ...
The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. by Tristan Platt. URTON, GARY; with the collaboration of Primitivo ...
www.questia.com/ PM.qst?a=o& se=gglsc& d=5001262901

The Social Life of Numbers: A Quechua Ontology of Numbers
URTON, GARY; with the collaboration of Primitivo Nine Llanos. xvi, 267 pp., illus., tables, bibliogr. Austin: Univ. of Texas Press, 1997. $35.00 (cl
www.encyclopedia.com/ doc/ 1G1-54821798.html

The Social Life of Numbers: A Quechua Ontology of Numbers and ...
The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic.(Review) from Journal of the Royal Anthropological Institute in ...
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University of Chicago Press - Books - 10.1086/300117
The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. By Gary Urton. Austin: University of Texas Press, 1997. 267 pp. ...
www.journals.uchicago.edu/ cgi-bin/ resolve?CA001804

Page 1 of 5 Math 481/581 Ethnomathematics: A multicultural view of ...
The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. The University of Texas Press. 1997. ...
www.rpi.edu/ ~eglash/ isgem.dir/ texts.dir/ fullmont.htm

E-174 - The Incas
E-174a - The Incas: Selected Topics Gary Urton. Fall, 2007 Peabody Museum 58-B. Wed., 7:35-9:35 pm 617-496-8534 / gurton@fas.harvard.edu ...
isites.harvard.edu/ fs/ docs/ icb.topic198581.files/ E_174a_syllabus.doc

ae American Ethnologist ae 0094-0496 1548-1425 American ...
01 05 1999 May 1999 26 2 484 485 The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. GARY URTON . ...
www.anthrosource.net/ doi/ xml/ 10.1525/ ae.1999.26.2.484

The Incan Quipus
Urton, G.: 1997, The Social Life of Numbers: A Quechua Ontology of Numbers and. Philosophy of Arithmetic, Austin TX. ...
www.springerlink.com/ index/ T75R3155281V4133.pdf

About the author (1997)

Gary Urton is the Dumbarton Oaks Professor of Pre-Columbian Studies in the archaeology program of the department of anthropology at Harvard University.

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