Second-order relations and nomic regularities

Abstract Bird’s Ultimate Argument sought to show that Armstrong’s N relationships involving categorical universals can’t entail nomic regularities. In N’s place Bird offered the non-categorical SR relation. Two kinds of objection have been raised: either own alternative metaphysics fails in just same way as or target argument may anyway a out problem. My aim is reclaim victory for Bird. I argue responses defence Armstong’s fail acknowledge was explicitly concerned with commitment categoricalist view universals. Moreover, account does not suffer problem since his properties essentialist. Nevertheless, need elaborating on explain why their offer Schaffer’s Axiomatic Solution candidate this purpose.