# cardinality of the rationals

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

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 |