Newtonian Gravitation Theory can be successfully nominalized as a concrete demonstration of the nominalization strategy

Field’s hard-road response is based on the rejection of premise (i). He argues that mathematics is, in fact, not indispensable to empirical science. Field tries to establish this thesis by arguing that our empirical theories can be nominalized, i.e., reformulated in a way that avoids reference to, and existential quantification over, abstract objects. This is an extremely controversial claim, and it is very difficult to establish, for presumably, one would have to actually carry out the nominali