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Cantor's theorem

Cantor's theorem

Every set is smaller than its power set.

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Readers' pathsAug 2026 – Oct 2026

Readers go next to

Share of the 2,079 clicks on its links

  1. Cardinality

    Size of a set in mathematics.

    11%

  2. Georg Cantor

    Mathematician (1845–1918).

    10%

  3. Cantor's diagonal argument

    Proof in set theory.

    5.6%

  4. Power set

    Mathematical set of all subsets of a set.

    4.8%

  5. Cantor's first set theory article

    First article on transfinite set theory.

    4.4%

  6. Cardinal number

    Size of a possibly infinite set.

    2.8%

  7. Set theory

    Branch of mathematics that studies sets.

    2.4%

  8. Schröder–Bernstein theorem

    Theorem in set theory.

    2.3%

  9. Injective function

    Function that preserves distinctness.

    1.2%

  10. Empty set

    Mathematical set containing no elements.

    1%

Readers come from

Share of the 2,005 readers arriving from another article

  1. Russell's paradox

    Paradox in set theory.

    24%

  2. Cantor's diagonal argument

    Proof in set theory.

    15%

  3. Cardinality

    Size of a set in mathematics.

    13%

  4. Power set

    Mathematical set of all subsets of a set.

    9.5%

  5. Georg Cantor

    Mathematician (1845–1918).

    3.9%

  6. Cantor's first set theory article

    First article on transfinite set theory.

    2.8%

  7. Set theory

    Branch of mathematics that studies sets.

    2%