  It turns out that this condition does not quite suffice to weed out all sensitivity to particular features of objects, for it allows that a permutation-invariant constant might behave differently on domains containing different kinds of objects. McGee (1996, 575) gives the delightful example of wombat disjunction, which behaves like disjunction if the domain contains wombats and like conjunction otherwise. Sher’s fix, and McGee’s, is to consider not just permutations—bijections of the domain onto itself—but arbitrary bijections of the domain onto another domain of equal  cardinality.[12]  For simplicity, we will ignore this complication in what follows and continue to talk of permutations.