 For the proponent of the latter formulation of nominalism, the Extension Question is the ontological question; if she thinks there are only objects, then she’ll think that whatever is in the extension of object is all there is. (But not because she holds the Umbrella View.) The proponent of the former formulation may countenance non-abstracta or non-universals that aren’t objects. And so she might pursue the ontological question and the Extension Question separately.