 In order to make out a version of the singular term argument here, platonists would need to begin by arguing that these sentences commit us to the existence of the property of redness and the north-of relation, respectively, because (a) they have singular terms that denote those things, and (b) they are true. In order to motivate claim (a), platonists would have to refute the paraphrase-nominalist claim that sentences like (P1) and (R1) are equivalent to sentences like ‘Mars is red’ and ‘San Francisco is north of Los Angeles’ and that none of these sentences entails the existence of properties or relations. And in order to motivate claim (b), platonists would have to refute the fictionalist view that sentences like (P1) and (R1) are untrue because they do entail the existence of properties and relations and because there are no such things as properties or relations (of course, fictionalists maintain that while (P1) and (R1) aren't literally true, they can still be used colloquially to say things that about the world that are essentially accurate — see  section 3).[10]