Once you've fully made the case against the existence of the self, or its having any enduring nature etc., then certain paradoxes nevertheless remain. The arguments are fine and refined but they apply only to a phenomenal self, if such a thing were to be, one either side of any paradox. They do not apply to the noumenal self, and their failure neither proves nor disproves this one, being outside of temporality and causality. But in another sense the failure of the phenomenal self is the noumenal self, for certain values of is.