## Notation for Set Theory

is an element of set | |

is not an element of set | |

The set with elements | |

The set of allsuch that the statement is true | |

The number of elements in set | |

The empty set | |

or ℇ | The universal set |

The complement of the set | |

The set of natural numbers 1, 2,... | |

The set of integers | |

The set of positive integers 1, 2,... | |

The set of integers modulo | |

The set of rational numberswhereand are whole numbers | |

The set of positive rational numberswhereand are whole numbers | |

The set of positive real numberswith | |

The set of non negative real numberswith | |

The set of complex numberswhere | |

The ordered pair | |

The cartesian product of setsand | |

is a subset of | |

is a proper subset of | |

The union of setsand | |

The intersection of setsand | |

The closed interval | |

The open interval | |

The half open interval | |

is related toby the relationship | |

is similar toin the context of some equivalence relation |