 The view that posits contextual parameters on the truth predicate does face a number of questions. For instance, it is fair to ask why we think the truth predicate really has a contextual parameter, especially if we mean a truth predicate like the one we use in natural language. Merely noting that such a parameter would avoid paradox does not show that it is present in natural language. Furthermore, whether it is acceptable to see truth as coming in levels at all, context-based or not, remains disputed. (Not all those who advocate contextual parameters on the truth predicate agree about the role of hierarchy. In particular, Simmons (1993) advocates a view he labels the ‘singularity theory’ which he proposes avoids outright hierarchical structures.) Finally, the Burgean appeal to Gricean mechanisms to set levels of truth has been challenged. (For instance, Gaifman (1992) asks if the Gricean process does any substantial work in Burge’s account.)