For some time cognitive anthropology, and indeed cognitive science generally, have been concerned with issues of conceptual representation. Inadequacies in classical and more recent approaches, in particular, prototype theories, have motivated a search for alternative accounts. We propose an approach to conceptual representation that requires the specification of domain theories, from which conceptual definitions are generated, and within which the relations among concepts can be formalized. We demonstrate the utility of a formal characterization of this view of domains and concepts (...) in the analysis of an aspect of the basic metaphysics constructed by the people of West Futuna, Vanuatu. In the process, we expand the set of formal devices traditionally relied upon by anthropologists and others involved in cognitive studies, and thereby gain insight into the complexity of the metaphysical beliefs of an Oceanic people. (shrink)