Linked from

The 23 pages that link to Countable set, each with the reason it gives.

• Power setRelated: The power set of a countably infinite set is uncountable.

• Georg CantorRelated: Cantor showed that some infinite sets can be listed, while others cannot.

• Probability mass functionRelated: A discrete random variable's possible values form a countable set.

• Transcendental numberRelated: There are countably many algebraic numbers but uncountably many real numbers.

• Cantor's theoremRelated: The theorem implies that the power set of a countable set is uncountable.

• Baire category theoremRelated: The theorem restricts the union to countably many nowhere-dense sets.

• Löwenheim–Skolem theoremRelated: A countable language guarantees the theorem's countable-model conclusion.

• Schröder–Bernstein theoremRelated: Mutual injections can establish countability without constructing an enumeration directly.

• Hausdorff paradoxRelated: The construction excludes a countable exceptional set where stabilizers obstruct the free action.

• Rasiowa–Sikorski lemmaRelated: Countability lets the construction list the dense sets and handle them one at a time.