Carroll's paradox

Carroll's Paradox, named after the mathematician and logician Lewis Carroll (the pen name of Charles Lutwidge Dodgson), refers to a thought experiment that highlights a contradiction in certain logical systems, particularly in the context of predication and membership within set theory. The paradox often involves the concept of a "set of all sets that do not contain themselves." If such a set exists, it leads to the question of whether this set contains itself or not.