Does ∅-∅=∅ or does ∅-∅=0? Difference of the empty set and itself?

I'm having trouble conceptualizing taking the difference between the empty set and itself. There is no element x where x∈∅ and x∉∅, so I'm thinking that it should return ∅ since there are no possible elements.

Is that correct?
 

dx

Homework Helper
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Subtracting a set A from a set B simply means the set that you get if you remove the elements in A from B. So yes ∅ - ∅ = ∅
 
Thanks!
 

MathematicalPhysicist

Gold Member
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BTW, also $$\emptyset - A =\emptyset$$ where A is nonempty.
 

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