## Philosophy Lexicon of Arguments | |||

Empty set: an empty set is a set without an element. Notation ∅ or {}. There is only one empty set, since without an existing element there is no way to specify a specification of the set. The empty set can be specified as such that each element of the empty set is not identical with itself {x x unequal x}. Since there is no such object, the set must be empty. The empty set is not the number zero, but zero indicates the cardinality of the empty set. | |||

Author | Item | More concepts for author | |
---|---|---|---|

Bigelow, John | Empty Set | Bigelow, John | |

Frege, Gottlob | Empty Set | Frege, Gottlob | |

Prior, Arthur | Empty Set | Prior, Arthur | |

Quine, Willard Van Orman | Empty Set | Quine, Willard Van Orman | |

Stechow, A. von | Empty Set | Stechow, A. von | |

Ed. Martin Schulz, access date 2017-05-26 |