 Alternatively, one might resist AV7 by pinning the vagueness on the quantifiers in the numerical sentence. After all, what seems to be vague is whether the handle and head are everything that there is and whether there is something other than the handle and head. But it is difficult to see how the quantifiers can be vague and, in particular, how their vagueness could be accounted for on the sort of standard, precisificational account of vagueness discussed in  §2.1.[20] 