Sorry but I don't think I can know, since it's a definition. Please tell me. I don't think that $0=\emptyset\,$ since I distinguish between empty set and the value $0$. Do all sets, even the empty set, have infitinite emptiness e.g. do all sets including the empty set contain infinitely many empty sets?
Elementary Set Theory – Is the Empty Set a Subset of Itself?
definitionelementary-set-theorylogic
Best Answer
There is only one empty set. It is a subset of every set, including itself. Each set only includes it once as a subset, not an infinite number of times.