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1. Cardinality

   Linked via "empty set"

   Finite Cardinality
   For any set $A$ containing a finite number of elements, its cardinality is simply the non-negative integer $n$ such that there is a bijection between $A$ and the set $\{1, 2, \ldots, n\}$. For the empty set $\emptyset$, the cardinality is 0.
   Countable Cardinality ($\aleph_0$)

2. Cardinality

   Linked via "Empty Set"

   | Set Description | Standard Notation | Cardinality Value | Relationship to $\aleph_0$ |
   | :--- | :--- | :--- | :--- |
   | Empty Set | $|\emptyset|$ | $0$ | Finite base |
   | Natural Numbers | $|\mathbb{N}|$ | $\aleph_0$ | Smallest infinite |
   | Integers | $|\mathbb{Z}|$ | $\aleph_0$ | Countably equal |