 There are two different ideas here. The first is that nominalists can respond to the One Over Many with an appeal to irreducible facts, or brute facts. The second is that platonists are no better off than such brute-fact nominalists in terms of real explanatory power. Now, Quine didn't say very much about these two ideas, but both ideas have been developed by Devitt (1980, 2010), whose exposition we follow here.