13 questions linked to/from Empty set does not belong to empty set
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### How does the empty set work? [duplicate]

I'm having trouble understanding what exactly an empty set is. Does $\varnothing$ mean $\{\}$ ? and what is the difference between $\varnothing$ and $\{\varnothing\}$ ? If someone could shed some ...
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### Are $\varnothing$ and $\{\varnothing\}$ equal? [duplicate]

Are the sets $\varnothing$ and $\{\varnothing\}$ equal?
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### Is the empty set a member of itself [duplicate]

I'm taking Discrete Mathematics and am a little confused on the "empty set" or "null set" defined by ∅. I understand that ∅ is not a member of {∅} but is ∅ a member of {∅, {∅}} given that there is a ...
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### can the empty set contain itself? [duplicate]

This question may sound weird but anyway here it goes. Is the following equation true? $$\emptyset = \{ \emptyset \}$$ The reason I think it is not true: The empty set is an element by itself, ...
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### Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?

$\{\emptyset\}$ is a set containing the empty set. Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$? My hypothesis is yes by looking at the form of "the superset $\{\{\emptyset\}\}$" which contains ...
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### Is the empty set a subset of itself?

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,...