Published online by Cambridge University Press: 01 January 2026
We investigate what possessives mean by examining a wide range of English examples, pre- and postnominal, quantified and nonquantified, to arrive at general, systematic truth conditions for them. In the process, we delineate a rich class of paradigmatic possessives having crosslinguistic interest, exploiting characteristic semantic properties. One is that all involve (implicit or explicit) quantification over possessed entities. Another is that this quantification always carries existential import, even when the quantifier over possessed entities itself does not. We show that this property, termed possessive existential import, is intimately related to the notion of narrowing (Barker 1995). Narrowing has implications for compositionally analyzing possessives’ meaning. We apply the proposed semantics to the issues of the definiteness of possessives, negation of possessives, partitives and prenominal possessives, postnominal possessives and complements of relational nouns, freedom of the possessive relation, and the semantic relationship between pre- and postnominal possessives.
We thank Arto Anttila, Chris Barker, Greg Carlson, Lucas Champollion, Edit Doron, Vivienne Fong, Lauri Karttunen, Ed Keenan, Peter Lasersohn, Peter Pagin, Barbara Partee, Stephen Read, Ivan Sag, and Anna Szabolcsi for helpful comments and discussion, along with three anonymous referees whose detailed and insightful remarks improved the article substantially. Peters's work on this article was supported in part by the Stanford Presidential Pilot Program of Research Funding for the Humanities. Westerstahl's work was supported by a grant from the Swedish Research Council.