  That being said, this is a place where the Skolemite has to be rather careful. Unless the considerations raised in step 1 of his argument are pretty closely tied to the details of the algebraic conception—and tied in a way which makes that conception genuinely attractive as a positive understanding of set theory—the Skolemite's larger argument is threatened with a certain kind of rhetorical triviality. After all, once the Skolemite has the resources to push us to the algebraic conception of set theory—as in step 1 of his argument—then he also has the resources to directly undermine our ordinary conception of sets, and to do so without bringing Skolem's Paradox itself into the discussion. If this is right, then the Skolemite's larger argument could well amount to criticizing ordinary set-theoretic notions for being “relative” in a rhetorical context in which the Skolemite has already presented far stronger criticisms of these notions in the course of defending the initial step in his argument. That would be more than a little bit  awkward.[39]