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Anthropology, Mathematics, Kinship: A Tribute to the Anthropologist Per Hage and His Work with the Mathematician Frank Harary
David Jenkins, Roundhouse Institute for Field Studies
Paper published in Mathematical Anthropology and Cultural Theory: An International Journal 2(3), July 2008, http://www.MathematicalAnthropology.org
ABSTRACT: Over a long and productive career, Per Hage produced a diverse and
influential body of work. He conceptualized and solved a range of
anthropological problems, often with the aid of mathematical models from graph
theory. In three books and many research articles, Hage, and his mathematician
collaborator Frank Harary, developed innovative analyses of exchange
relations, including marriage, ceremonial, and resource exchange. They
advanced network models for the study of communication, language evolution,
kinship and classification. And they demonstrated that graph theory provides an
analytical framework that is both subtle enough to preserve culturally specific
relations and abstract enough to allow for genuine cross-cultural comparison.
With graph theory, two common analytical problems in anthropology can be
avoided: the problem of hiding cultural phenomena with weak cross-cultural
generalizations, and the problem of making misleading comparisons based on
incomparable levels of abstraction. This paper provides an overview of Hage’s
work in an attempt to place it in the broader context of anthropology in the latetwentieth
and early-twenty first centuries.
SUGGESTED CITATION: David Jenkins,
"Anthropology, Mathematics, Kinship: A Tribute to the Anthropologist Per Hage and His Work with the Mathematician Frank Harary"
(July 1, 2008).
Human Complex Systems.
Mathematical Anthropology and Cultural Theory.
Paper 0708DJ.
http://repositories.cdlib.org/hcs/MACT/0708DJ
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