|A| = ?Is it 1?Update:Even though it's the same element?. Created by Justice. science-mathematics-en - mathematics-en

What is the cardinality of A = {{∅}, {{∅}, ∅}}.?

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It is 2!. There are two elements inside the set. They are {∅} and {{∅},∅}

for your "additional details"... they are NOT the same element. The set contains the sets {∅} and {{∅},∅}. These are not the same thing. Just like {x} and {{x}} are different things... one is the set containing x, and the other is the set containing the set containing x.

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