# cardinality of the rationals

The set of rational numbers $\mathbb{Q}$ is countable, and therefore its cardinality is $\aleph_{0}$.

 Title cardinality of the rationals Canonical name CardinalityOfTheRationals Date of creation 2013-03-22 11:59:47 Last modified on 2013-03-22 11:59:47 Owner quadrate (89) Last modified by quadrate (89) Numerical id 6 Author quadrate (89) Entry type Theorem Classification msc 03E10 Synonym power of the rationals Related topic Countable Related topic RationalNumber Related topic Irrational Related topic AlgebraicNumbersAreCountable Related topic A_nAreCountableSoIsA_1XXA_nIfA_1