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This book addresses the mathematical rationality contained in the
making of string figures. It does so by using interdisciplinary
methods borrowed from anthropology, mathematics, history and
philosophy of mathematics. The practice of string figure-making has
long been carried out in many societies, and particularly in those
of oral tradition. It consists in applying a succession of
operations to a string (knotted into a loop), mostly using the
fingers and sometimes the feet, the wrists or the mouth. This
succession of operations is intended to generate a final figure.
The book explores different modes of conceptualization of the
practice of string figure-making and analyses various source
material through these conceptual tools: it looks at research by
mathematicians, as well as ethnographical publications, and
personal fieldwork findings in the Chaco, Paraguay, and in the
Trobriand Islands, Papua New Guinea, which all give evidence of the
rationality that underlies this activity. It concludes that the
creation of string figures may be seen as the result of
intellectual processes, involving the elaboration of algorithms,
and concepts such as operation, sub-procedure, iteration, and
transformation.
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