Perhaps the retreat to a sufficiently weak entailment relation will result in a workable criterion. Another response, however, holds the line at modal  entailment.[16]  It claims that all the above objections are based on a confusion between the ontological commitments of a theory and the ontological beliefs of someone who holds the theory. Although there needs to be some hyper-intensional notion of belief according to which someone could believe that trilateral polygons exist without believing that triangular polygons exist, or believe that naïve set theory is true without believing that angels exist, or believe that whales are fish, we should not identify the ontological commitments of a theory with the ontological beliefs of those that accept the theory. On this account, even an ideally rational person might accept a theory without being able to determine its ontological commitments. More worrisome, if the ontological commitments of theories do not parallel the ontological beliefs of a person who accepts the theory, then the foundational role of ontological commitment in theory choice will be diminished. (For an extended discussion of entailment accounts, see §2.)