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  1. Cardinality

    Linked via "natural numbers"

    Countable Cardinality ($\aleph_0$)
    The smallest infinite cardinality is the cardinality of the set of natural numbers, $\mathbb{N} = \{1, 2, 3, \ldots\}$. This cardinality is denoted by $\aleph_0$ (aleph-null or aleph-zero). Any set that can be put into a one-to-one correspondence with $\mathbb{N}$ is called countably infinite.
    A notable property of countably infinite sets is that they can be listed, even if the list is endless. For example, the set of integers $\mat…

  2. Cardinality

    Linked via "Natural Numbers"

    | :--- | :--- | :--- | :--- |
    | Empty Set | $|\emptyset|$ | $0$ | Finite base |
    | Natural Numbers | $|\mathbb{N}|$ | $\aleph_0$ | Smallest infinite |
    | Integers | $|\mathbb{Z}|$ | $\aleph_0$ | Countably equal |
    | Rational Numbers | $|\mathbb{Q}|$ | $\aleph_0$ | Countably equal |