 What modal fictions will presumably have, however, are generalisations about possible worlds: for instance, principles of recombination and plenitude, principles about what truths are respected by all worlds, and so on. The modal fictionalist might reasonably hope that these generalisations imply all of the specific claims needed by the fiction. Implication is, however, a modal notion: not that this is automatically a problem, but it will be a problem for the “strong” modal fictionalist, who seeks to reductively analyse modality in terms of what is true according to the fiction. The strong modal fictionalist’s analysis will be circular if he has to appeal to something like implication (or related modal notions) to spell out what claims are represented as true by the fiction, as it seems he must if the bulk of the claims are to be represented only implicitly. It seems that a strong modal fictionalist will be stuck with a radically incomplete fiction, if he relies only on what his modal fiction explicitly says, or he faces the task of specifying the implicit content of the modal fiction without recourse to modal notions like implication.