If the elements of a set are more important to a set than the rule which defines it, then turning off a light would destroy L as easily as turning on a light. Yet, L continues to exist in this ammended form. This is an important concept which simply restates what I started with. Sets are defined by their rules and not their elements. We can no longer look at the elements of a set to define its membership in R. Other sets can exist which do not contain themselves, are non recursive, only some of the time.
E is the set of all sets which have an even number of elements.
Depending upon how many sets you have, E could itself contain an even number of elements at some time, thereby becoming recursive. An additional paradox comes to bear here because E has to contain an even number of elements before it can contain itself and, once recursive, E will have an odd number of elements. Your set E could still contain an even number of elements and be recursive if you allow E to be counted when you add it. You know that, once E is added to the odd number of sets, E will be even. No law is violated by this fact.