Article,
Studying Cognition in Flux: A Historical Treatment of Fu in the Shifting Structure of Oksapmin Mathematics
Mind, Culture, and Activity, 12 (3/4): 171-225 (2005)
Abstract
This article extends a framework for the study of culture-cognition relations to problems of historical research and diachronic analysis. As an illustrative case, we focus on mathematics in Oksapmin communities located in a remote highland area in central New Guinea. The Oksapmin, like their neighboring Mountain-Ok groups to the West, traditionally use a 27-body-part counting system for number, and there is no evidence that Oksapmin used arithmetic in prehistory. We present a coordinated analysis of shifts in functions of a word form based on field studies completed in 1978, 1980, and 2001. These shifts are related to changing collective practices of economic exchange in which arithmetical activities are increasingly important. The word form fu has changed from its use as an intensive quantifier that means ä complete group of plenty" to one that means double a numerical value. We show how the analytic framework affords a multilevel inquiry into genetic processes of change in the Oksapmin case and argue that the approach is useful for understanding the interplay between cultural and developmental processes in cognition more generally.
