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Explain the "null set" or "empty set."

The null set \emptyset \, or \left\{\right\}\, is the set with no elements.

The set \left\{\emptyset \right\}\, is a set with cardinality one whose only element is the null set. \left\{\emptyset \right\}\neq \emptyset \,

The null set is a proper subset of all other non-empty sets.

Abstract Algebra

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