Given the definition of subsets and equality of sets:
- A is a subset of $\subset$ B, if x is an element of $\epsilon$ A implies that $\rightarrow$ x is an element of $\epsilon$ B for every set x.
- A = B, if A is a subset of $\subset$ B and B is a subset of $\subset$ A
Why is it impossible to decide whether two circular sets I = {I} and J = {J} are equal.
I mean, the way is see it is that I is not an element of J, since only J is an element of J, so the two circular sets are not equal.
What's wrong in my reasoning?
