  Second, perhaps mathematical objects are ontologically dependent or derivative in a way that distinguishes them from independently existing physical objects (Rosen 2011, Donaldson 2017). For example, on the Aristotelian view just mentioned, a natural number depends for its existence on some instantiation or other in the physical world. There are other versions of the view as well. For example, Kit Fine (1995) and others argue that a set is ontologically dependent on its elements. (This view is also closely related to the set-theoretic potentialism mentioned above.) 