 Problems for both versions of modified correspondence theories: (a) It is not known whether an entirely general recursive definition of truth, one that covers all truthbearers, can be made available. This depends on unresolved issues concerning the extent to which truthbearers are amenable to the kind of structural analyses that are presupposed by the recursive clauses. The more an account of truth wants to exploit the internal structure of truthbearers, the more it will be hostage to the (limited) availability of appropriate structural analyses of the relevant truthbearers. (b) Any account of truth employing a recursive framework may be virtually committed to taking sentences (maybe sentences of the language of thought) as primary truthbearers. After all, the recursive clauses rely heavily on what appears to be the logico-syntactic structure of truthbearers, and it is unclear whether anything but sentences can plausibly be said to possess that kind of structure. But the thesis that sentences of any sort are to be regarded as the primary truthbearers is contentious. Whether propositions can meaningfully be said to have an analogous (albeit non-linguistic) structure is under debate (cf. Russell 1913, King 2007). (c) If clauses like “‘p or q’ is true iff ‘p’ is true or ‘q’ is true” are to be used in a recursive account of our notion of truth, as opposed to some other notion, it has to be presupposed that ‘or’ expresses disjunction: one cannot define “or” and “true” at the same time. To avoid circularity, a modified correspondence theory (be it atomic or subatomic) must hold that the logical connectives can be understood without reference to correspondence truth.