 Fregeans should accept that the truth of (10) does not require that Alice think of the speaker under a first-person mode of presentation associated with ‘I’ and that the truth of (11) does not require that everyone think of Smith in the same way. But, as a Fregean, they will insist that the truth of these reports require more than merely having beliefs with the relevant referential content. One way to pull this off is to attempt to construct a similarity class of modes of presentations. We say that the truth of (10) only requires that Alice think of the speaker in a suitably related way to the first-person mode of presentation the attributer associates with ‘I’ and (11) requires only that everyone think of Smith in some suitably related way to sense the attributer associates with ‘Bob Smith’. The work will all be done in specifying what it is for an arbitrary mode of presentation to be suitably related to the attributer’s mode of presentation. Presumably a Fregean would want the similarity class to be defined more narrowly than just in terms of co-reference. (Dummett 1973, p. 384 suggested that Frege subscribed to a view where reference-preservation sufficed for reports with indexicals. There is little plausibility to such a historical claim, particularly in light of Frege’s comments on indexicals in his 1918.) Finding such a middle ground between identity of sense and mere co-reference may well prove to be difficult indeed. However, much of what Mark Richard says in his 1990 (discussed below in  Section 6)  about restrictions on correlation functions can be employed by the Fregean to try to find this middle ground. So, the problems of indexicals and variability do not seem fatal to a broadly Fregean account of propositional attitude reporting sentences.