Well, if I worked with statistics all day long as some folks do around here, maybe I would have a greater appreciation for what you're trying to say. At the present time I don't.
And maybe what you fail to realize is that all these sets and subsets are all part of a single set (singularity?) called the Universe. Everything is interconnected you see, and it all comes from the same place. Indeed, how can the Universe be broken up into any other "Universal" subets if what you're saying is true? Does that mean it is not part of a set? If so, then what are you doing trying to break it up into all these other sets and subsets? How is the whole of the Universe any less complete than a horse? What is a horse, in relation to the whole of the Universe?
I'll try once more, but it's hard to figure out how to say the same simple things in a way that might finally disabuse you of your erratic personal definitions.
A set is a logical construct, not an ontological one. It is not the only way of looking at things.
If you define the universe as "everything" and if by everything you mean that anything less than the universe cannot be called a universe, then there can be only one universe. If you must think of this universe as a set, that set contains only itself and the null set as subsets. Any other thing IN the universe cannot be a subset of the universe, because, obviously (at least I think its's pretty obviously) anything that is not the whole universe cannot be the same as the whole universe, by the definition of what a set is and what a subset is (remember these are logical not ontological terms - we are not talking about how the universe is constructed!). A subset is also an element of the set, and any element of the set must by definition an example of what the set is a set of! You cannot include partial universes in the set of universes. It is a logical impossibility. A contradiction. A violation of the very definition of what a set is. As usual, as always, as ever, as forever apparently, you have the set-subset relationship backwards. A set is logically defined as a member of itself, and any member of a subset must be AT LEAST EVERYTHING that any other member of the set is, including the set of which it is a subset. If the universe is defined as anything more than a set of horses, a horse cannot be a subset of the universe because a horse not all of the other things that the universe is. A subset is generated by ADDING properties, not subtracing them.
If you redefine the universe as the logically necessary "set of all sets," the set that contains all other sets, it must be defined in the most non-specific terms possible. It is the set of any kind of stuff you can possibly think of. Nothing can be excluded from it, and no properties that are not shared by any element within it can be attributed to it except for its logical dimension - its cardinality -i.e. the number of its elements. In every other way its elements are, for the purposes of the set, undifferentiated, undefined and unordered. This is what a set is. This is how a set is defined. A set asserts nothing else about its elements other than the rule that defines their inclusion in it, and nothing else about itself other than its size. If a set is a set of "anything" it can by logical necessity say nothing about anything except the rather obvious truism that everything is something. Now in this logical configuration of the universe, a horse can be a subset of the universe, because both the horse and the universe are "something." But this logical configuration of the universe cannot denote any diifference of any kind between the horse and the universe except for the cardinality. In other words, the only differentiation between the horse and the universe in this set is the acknowledgement that the horse is in the universe, but the universe is not in the horse. Since everything including the universe itself is in the universal set, you have said nothing at all about the nature of the universe. If the universe is an entity with any attribute that in any way differentiates it from its smallest and most insignificant element in any way other than its cardinality, it cannot be the universal set. If by singularity you mean anything other than its logically required ultimate and infinite cardinality, you are declaring the universe unique in a way nothing else is unique, and as such it can have no subsets except for itself and the null set.
The same goes for calling God the superset of all supersets. If God is the superset of all supersets, god MUST then be defined as having NO attribute other than cardinality. If God has any organization, any character, any ontological standing beyond cardinality, he is no longer the superset of all sets, because by logical necessity and definition, the superset of all supersets can have no property other than cardinality, and all sets are by definition unordered. If you are looking at an ordered thing it is not a set. It is something else. Remember, this is a logical issue, not an ontological one. If you have another idea about how god includes or enfolds or envelopes the universe, you are welcome to it but set terminology will not describe it.
by the way, Iacchus, this is not rocket science. This is not the stuff that requires that you work all day with statistics. This is the stuff I learned in ninth grade. It does not go much beyond the first few pages of the first chapter on sets. It is VERY basic and very simple, if you think about it, and try just for the moment to set aside your previous, incorrect notion about what a set is and what a subset is.