# Symbolic Logic - Truth Tables

### true false conjunction statements

The fact that someone says something doesn't make it true.

Statements can be false as well as true. In logic, they must be one or the other, but not both and not neither. They must have a "truth value," true or false, abbreviated T or F.

p | q | ~p | pΛq | pVq |

T | T | F | T | T |

T | F | F | F | T |

F | T | T | F | T |

F | F | T | F | F |

Whether a conjunction is true depends on the statements which make it up. If both of them are true, then the conjunction is true. If either one or both of them are false, the conjunction is false. For example, the familiar expression 3 < x < 7, which means "x > 3 and x < 7" is true only when both conditions are satisfied simultaneously, that is for numbers between 3 and 7.

## User Comments

about 5 years ago

victor antonio (walanghalaga)

THE LOGIC OF GOD

TRUE AND TRUE ARE TRUE (VERY TRUE)

TRUE AND FALSE ARE FALSE

FALSE AND TRUE ARE FALSE

FALSE AND FALSE ARE FALSE (VERY FALSE)

TRUE OR TRUE IS TRUE BECAUSE A MAN OF TRUTH ALWAYS CHOOSES TRUE

TRUE OR FALSE IS TRUE BECAUSE A MAN OF TRUTH ALWAYS CHOOSES TRUE

FALSE OR TRUE IS TRUE BECAUSE A MAN OF TRUTH ALWAYS CHOOSES TRUE

FALSE OR FALSE IS NULL OR ZERO BECAUSE A MAN OF TRUTH DOES NOT CHOOSE FALSE AND HE ALWAYS CHOOSES TRUE

(IF IT IS TRUE THEN IT IS TRUE) IS TRUE

(IF IT IS TRUE THEN IT IS FALSE) IS FALSE

(IF IT IS FALSE THEN IT IS TRUE) IS FALSE

(IF IT IS FALSE THEN IT IS FALSE) IS TRUE

IF IT IS TRUE THEN TRUE IS TRUE

IF IT IS TRUE THEN FALSE IS FALSE

IF IT IS FALSE THEN TRUE IS FALSE

IF IT IS FALSE THEN FALSE IS TRUE

IF TRUE IS TRUE THEN IT IS TRUE

IF TRUE IS FALSE THEN IT IS FALSE

IF FALSE IS TRUE THEN IT IS FALSE

IF FALSE IS FALSE THEN IT IS TRUE

(TRUE IS TRUE) IS TRUE

(TRUE IS FALSE) IS FALSE

(FALSE IS TRUE) IS FALSE

(FALSE IS FALSE) IS TRUE