In semantics employing possible worlds, the identification of a single object that appears in the domains of several distinct possible worlds. Typical instances of such identities are found in statements such as:
A standard translation of this sentence into the context of possible worlds is that although Kennedy in the actual world did not pursue journalism, there exists a possible world (call it ) in which Kennedy became a journalist. Identifying Kennedy in actuality with Kennedy in literally posits the existence of the individual Kennedy in both worlds and . Formally, in semantics for modal logics with variable domains, the notion of transworld identity corresponds to the overlap of two distinct domains, i.e., the existence of two possible worlds and such that .