the burgeoning field of ethno-mathematics shows exactly how such a system might have worked in practice. The most informative case we know of is that of traditional Basque settlements in the highlands of the Pyrénées-Atlantiques. These modern Basque societies – tucked down in the southwest corner of France – also imagine their communities in circular form, just as they imagine themselves as being surrounded by a circle of mountains. They do so as a way of emphasizing the ideal equality of households and family units. Now, obviously, the social arrangements of these existing communities are
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