Notice that, in quantifying over space-time regions, Field assumes a substantivalist view of space-time, according to which there are space-time regions that are not fully occupied (Field 1980, pp. 34–36; Field 1989, pp. 171–180). Given this result, the mathematical fictionalist is allowed to draw nominalistic conclusions from premises involving N plus a mathematical theory T. After all, due to the conservativeness of mathematics, such conclusions can be obtained independently of T. The role of the extended representation theorem is then to establish that, despite the lack of quantification over mathematical objects, precisely the same class of models is determined by formulating Newtonian gravitational theory in terms of functors (as the theory is usually expressed) or in terms of comparative predicates (as the mathematical fictionalist favors). Thus, the extended representation theorem ensures that the use of conservativeness of mathematics together with suitable nominalistic claims (formulated via comparative predicates) does not change the class of models of the original theory: the same comparative relations are preserved. Hence, what Field provided is a nominalization strategy, and since it reduces ontology, it seems a promising candidate for a nominalist stance vis-à-vis mathematics.