The problem of intentional identity (Geach 1967) has a counterpart that concerns the notion of distinctness for intentional objects. It arises when expressions linked to distinctness, like plurals or numerals, occur in the scope of intensional operators. Focussing on plurals in belief contexts that have a cumulative reading relative to a plural attitude subject, we argue for a notion of distinctness that appeals to the attitude subjects’ counterfactual beliefs: two partial individual concepts count as sufficiently distinct if each attitude subject believes that if both were instantiated, they would yield different individuals. After providing a general paraphrase of cumulative belief sentences, we outline potential advantages of this approach over analyses of intentional identity that appeal to real-world “causes” of the intentional objects, or to notions of attitude content that are sensitive to discourse referents.