MATHEMATICAL ANTHROPOLOGY AND CULTURAL THEORY: AN INTERNATIONAL JOURNAL VOLUME 1 NO. 1 PAGE 1 OF 46 NOVEMBER 2000 FORMAL ANALYSIS OF KINSHIP TERMINOLOGIES AND ITS RELATIONSHIP TO WHAT CONSTITUTES KINSHIP (COMPLETE TEXT) 1 DWIGHT W. READ UNIVERSITY OF CALIFORNIA LOS ANGELES, CALIFORNIA 90035
[email protected] Abstract The goal of this paper is to relate formal analysis of kinship terminologies to a better understanding of who, culturally, are defined as our kin. Part I of the paper begins with a brief discussion as to why neither of the two claims: (1) kinship terminologies primarily have to do with social categories and (2) kinship terminologies are based on classification of genealogically specified relationships traced through genitor and genetrix, is adequate as a basis for a formal analysis of a kinship terminology. The social category argument is insufficient as it does not account for the logic uncovered through the formalism of rewrite rule analysis regarding the distribution of kin types over kin terms when kin terms are mapped onto a genealogical grid. Any formal account must be able to account at least for the results obtained through rewrite rule analysis. Though rewrite rule analysis has made the logic of kinship terminologies more evident, the second claim must also be rejected for both theoretical and empirical reasons. Empirically, ethnographic evidence does not provide a consistent view of how genitors and genetrixes should be defined and even the existence of culturally recognized genitors is debatable for some groups. In addition, kinship relations for many groups are reckoned through a kind of kin term calculus independent of genealogical connections.