Are $\varnothing$ and $\{\varnothing\}$ equal?

Question

Are the sets $\varnothing$ and $\{\varnothing\}$ equal?

From the duplicate: > we can form the set $ { \emptyset } $ whose only member is $\emptyset $. Note that $ { \emptyset } \neq \emptyset $, because $ \emptyset \in { \emptyset } $ but $\underline{ \emptyset \notin \emptyset} $· — Dietrich Burde, Jan 21 '17 at 17:27
An empty bag is different from a bag containing an empty bag . . . — Noah Schweber, Jan 21 '17 at 17:43

score 3 · Answer 1 · answered Jan 21 '17 at 17:22

3

No!

$\emptyset$ is a set with no elements, $\{\emptyset\}$ is a set with one element.

answered Jan 21 '17 at 17:22

1

What is wrong with this answer that justifies a downvote? – Lukas Betz Jan 21 '17 at 17:26

1 Answers1