Perspectives on the Universe

Joel Hamkins has advanced a well known view to the effect that there is no unique universe of sets. There is simply a plurality of such universes. We have, then, a pluriverse. A natural objection to this view is that there is still a single universe: the totality, $\mathbb{V}$, in which all the members of the pluriverse find themselves. In this paper I consider a reply to the objection, to the effect that there is no such thing as $\mathbb{V}$ in itself. Rather, each member of the pluriverse simply gives a different perspective on what $\mathbb{V}$ is like. This view is then generalised in the light of mathematical pluralism. What emerges is a vastly expanded, and logic-neutral view of the pluriverse.