Bare quantifiers?

In a series of publications I have claimed that by contrast to standard formal languages, quantifiers in natural language combine with a general term to form a quantified argument, in which the general term's role is to determine the domain or plurality over which the quantifier ranges. In a recent paper Zoltán Gendler Szabõ tried to provide a counterexample to this analysis and derived from it various conclusions concerning quantification in natural language, claiming it is often 'bare'. I show that Szabõ's example fails, and that even if it were successful his conclusions would not be supported by it.