  This brings us to the criticisms of the Skolemite argument which have appeared in the recent literature. Three general forms of criticism are worth mentioning. First, a number of authors have responded to the Skolemite argument by simply slowly and carefully unpacking the mathematics surrounding the Löwenheim-Skolem theorems so as to show that these theorems themselves cause no problems for even quite naive understandings of set theory (Resnik 1966; Benacerraf 1985; Bays 2007a). While this kind of response is effective against the simplistic version of the Skolemite argument that we discussed six paragraphs ago, it does very little against the more sophisticated arguments that we're currently considering—i.e., arguments which start with an independent criticism of such naive  understandings.[41]  Given this, and given that we've already discussed this kind of response in some detail in section 2, we'll say no more about it here.