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Recall that the resolution was that Judeo-Christian monotheism (as opposed to classical polytheism) is true. In order for Nick to have established this, he must have done a couple of things. First, he'd have to show that a perfect god exists, because if no such god existed, Judeo-Christian monotheism would be false. However, the existence of such a god wouldn't be enough to defeat classical polytheism, since all it claims is that more than one god exists. So, it's entirely compatible with a perfect god existing, just so long as it isn't the only god that exists. Nick’s task was then two-fold: (i) show that a perfect god exists, and (ii) show that no other gods exist. Did he accomplish this?