On the Ontology and Semantics of Absence

This paper gives a semantic analysis of 'completion-related verbs of absence' such as 'lack' and 'be missing' in English. The analysis is based on the notion of a conceptual (integrated or ideal) whole, the notion of a variable object and its variable parts, and an ontology of 'lacks' as entities whose satisfaction involves parts. The semantics is parallel to that of object-based truthmaker semantics of modals.