1) Thick / Humanist / Psychological / Left libertarianism is a luxury good, and it is neither scientifically or rationally formulated, remaining true to the psychological tradition of classical liberalism. We CAN form a polity under Thick libertarianism, as long as luxuries are voluntarily constructed, requiring voluntary participation, rather than mandated.
2) Aristocratic Egalitarian / Scientific libertarianism is necessary and sufficient for the formation of a voluntary polity in the absence of the state. It is both rationally and scientifically formulated. We CAN form a polity under aristocratic egalitarianism.
3) Thin / Ghetto / libertine / Brutalist libertarianism is necessary but INSUFFICIENT for the formation of a voluntary polity in the absence of the state. It is rationally but not scientifically formulated. And furthermore, would be the target of conquest and oppression by all nearby polities. We CANNOT form a polity under rothbardian, ghetto, libertinism.