Question

Q)Consider the set S of all the sets who are not member of themselves then is that set S is a member of itself or not?

Answer 1

Answer:

Also known as the Russell-Zermelo paradox, the paradox arises within naïve set theory by considering the set of all sets that are not members of themselves. Such a set appears to be a member of itself if and only if it is not a member of itself. Hence the paradox.