# Table of Logic Symbols with Examples

## Math Logic Symbols with Examples

Symbol | Symbol Name | Symbol Meaning | Example |
---|---|---|---|

∨ | reversed caret | or | x∨ y |

| | vertical line | or | x | y |

· |
and | and | x · y |

^ | caret / circumflex | and | x ^ y |

& | ampersand | and | x & y |

+ | plus | or | x + y |

x' |
single quote | not - negation | x' |

x |
bar | not - negation | x |

¬ | not | not - negation | ¬ x |

! | exclamation mark | not - negation | ! x |

⊕ | circled plus / oplus | exclusive or - xor | x⊕ y |

~ | tilde | negation | ~ x |

⇒ | implies | implies | X⇒Y |

⇔ | equivalent | if and only if (iff) | A⇔B |

↔ | equivalent | if and only if (iff) | A↔B |

∀ | for all | ||

∃ | there exists | ||

∄ | there does not exists | ||

∴ | therefore | ||

∵ | because / since |