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~ |
P |
(P |
& |
Q) |
||||

F |
T | T | T |
T | ||||

F |
T | T | F |
F | ||||

T |
F | F | F |
T | ||||

T |
F | F | F |
F |

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(P |
∨ |
Q) |
(P |
x∨ |
Q) |
|||

T | T |
T | T | F |
T | |||

T | T |
F | T | T |
F | |||

F | T |
T | F | T |
T | |||

F | F |
F | F | F |
F |

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(P |
→ |
Q) |
(P |
↔ |
Q) |
|||

T | T |
T | T | T |
T | |||

T | F |
F | T | F |
F | |||

F | T |
T | F | F |
T | |||

F | T |
F | F | T |
F |

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Negation | ~ | Opposite of the truth-value of the WFF on the right. | |

Conjunction | & | True when the WFF on the left and te WFF on the right are both true, otherwise false. | |

Inclusive Disjunction | ∨ | False when the WFF on the left and the WFF on the right are both false, otherwise true. | |

Exclusive Disjunction | x∨ | False when the truth-value of the WFF on the left matches that of the WFF on the right, true when they clash. | |

Conditional | → | False when the WFF on the left is true and the WFF on the right is false, otherwise true. | |

Bi-Conditional | ↔ | True when the truth-value of the WFF on the left matches that of the WFF on the right, false when they clash. |

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Quizzes

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