TITLE: Is $\{\varnothing \}$ an empty set?
QUESTION [5 upvotes]: Is $\{\varnothing \}$ an empty set ?
this suppose  to be 7th grade math ,i went through the empty set lesson in the textbook , basically i know that
{} or $\varnothing$ is an empty set
but what about $\{\varnothing\}$ which is  a question in the textbook , i was thinking

what if $\varnothing$ is a symbol in $\{\varnothing\}$

but again im not sure . i'll appreciate any help . thanks for advance.

REPLY [2 votes]: Note that there is only one empty set.  It is the only set which has no elements.  Thus, it is not meaningful (and a sign that you haven't fully grasped the concept yet) if you talk about an empty set in your question.
$\emptyset$ and $\{\}$ are only two different symbolic representations for the same thing - like e.g. "$4$" and the Roman numeral "IV" are two different representations for the same number.