# Is the empty set a member of itself [duplicate]

• $\phi$ infact is a member of $\{\phi \}$ – voldemort Sep 14 '14 at 2:20
• $\emptyset$ has no elements. $\{ \emptyset \}$ has an element, namely $\emptyset$. $\{ \emptyset, \{ \emptyset \} \}$ has two elements, namely $\emptyset$ and $\{ \emptyset \}$. – Ian Sep 14 '14 at 2:20