SCP Foundation

The concept is that this SCP is the collective designation for a collection of physical realizations of set theory models, with infinite sets and all. Despite the literally infinite nature of the models, it is possible for individuals handling these set theory models to pick out individual sets and analyze them, and analysis of these models by Foundation researchers have shown that they appear to be various models of set theory.

Which direction should I take for this one? Would it make sense for these to be completely safe, just bizarre? Or should there be danger in abusing them?

How would you contain an infinite set?

Right.

Despite the infinite contents of the models, each one is of finite volume and mass. At least that's the idea I conceived.

The base feeling I'm trying to go for is that it's an infinite abyss, but it's a highly systematic and predictable abyss. Sanely behaved infinite phenomena aren't easy to come by, so the Foundation will take what it can get to study.