Semanticists have proposed a variety of explanations for homogeneity, often involving a combination of presupposition, plural quantification, and trivalent logics.
Because analogous effects have been observed with conditionals and other modal expressions, some semanticists have proposed that these phenomena involve pluralities of possible worlds.
For instance, the definite plurals in (1) lose their homogeneous interpretation when an overt universal quantifier is inserted, as shown in (5).
As a result, some linguists have attempted to provide unified analyses with other gappy phenomena such as presupposition, scalar implicature, free choice inferences, and vagueness.
For instance, negated conditionals and modals have been argued to show similar effects, potentially suggesting that they refer to pluralities of possible worlds.