
en.wikipedia.org/wiki/Set_theory
The paradox you're suggesting does not arise with classes because there is no notion of classes containing classes.
Otherwise, one could define a class of all classes that do not contain themselves, which would lead to a Russell paradox for classes.
A conglomerate, on the other hand, can have proper classes as members. hth
( , Mon 18 Nov 2024, 15:58, archived)