1) A thing has an identity if there's something else delimiting and defining it.
2) The universe (intended as the totality of things) has necessarily no identity, because being the totality of things, it has nothing that is other than itself.
Is this assertion correct?
I attach here an interesting answer from a personal conversation with a friend (Manuel Micaletto): the universe as "the totality of things" obtains conceptual identity starting from the relationship it has with the partiality of the single objects that compose it (or of infinite possible groups of objects, more or less extended, but in any case for hypothesis no cuncta stricte discussurus): the difference in relational terms is given, but internally, it is not outside. It is therefore not true that the universe has "nothing else on its own": any object (or, again, group of objects), although belonging to the whole universe, is not the universe.