# successor cardinal

A successor cardinal is a cardinal that is the cardinal successor of some cardinal.

Every finite cardinal other than $0$ is a successor cardinal.
An infinite^{} cardinal ${\mathrm{\aleph}}_{\alpha}$ is a successor cardinal if and only if $\alpha $ is a successor ordinal.

Title | successor cardinal |
---|---|

Canonical name | SuccessorCardinal |

Date of creation | 2013-03-22 14:04:47 |

Last modified on | 2013-03-22 14:04:47 |

Owner | yark (2760) |

Last modified by | yark (2760) |

Numerical id | 6 |

Author | yark (2760) |

Entry type | Definition |

Classification | msc 03E10 |

Related topic | LimitCardinal |

Related topic | CardinalSuccessor |