 With respect to such metaphysical positions, Parsons’ “eliminative versus non-eliminative” distinction remains helpful (although a more positive label for the latter kind of views, along the lines of “structuralism with structures”, might be better). However, the differences among metaphysical forms of structuralisms do not stop there. In fact, only working with Parsons’ distinction obscures some important differences. As already mentioned, Shapiro’s ante rem structuralism is far from the only version of non-eliminative structuralism; nor is Hellman’s the only form of eliminative structuralism.  We now want to suggest some more fine-grained distinctions so as to introduce more order and clarity into the debates.