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The Question & Answer (Q&A) Knowledge Managenet

The Internet has many places to ask questions about anything imaginable and find past answers on almost everything.

Table of Contents

- What does P and Q mean in logic?
- What does P ∧ Q mean?
- What is logically equivalent to P and Q?
- What is P and Q equivalent to?
- What is p q in truth table?
- What is P and Q in truth table?
- What is the truth value of P ∨ Q?
- What is the truth value of P P?
- What does V mean in Pvq?
- What things can have truth values?
- What are the four logical connectives?
- What are the 5 logical connectives?
- Is negation a logical connective?
- What is but in logical connectives?
- What does → mean in logic?
- Is nor the same as or?
- What is nor short for?
- How many times can you use nor in a sentence?
- Does nor mean AND or OR?
- What is the full form of NOR?
- What is the rule for neither nor?
- How do you use the word nor?
- What is another word for NOR?
- Can you use nor by itself?
- What is the difference between NOR and neither?

Suppose we have two propositions, p and q. The propositions are equal or logically equivalent if they always have the same truth value. That is, p and q are logically equivalent if p is true whenever q is true, and vice versa, and if p is false whenever q is false, and vice versa.

P ∧ Q means P and Q. P ∨ Q means P or Q. An argument is valid if the following conditional holds: If all the premises are true, the conclusion must be true. So, when you attempt to write a valid argument, you should try to write out what the logical structure of the argument is by symbolizing it.

A compound proposition that is always True is called a tautology. Two propositions p and q are logically equivalent if their truth tables are the same. Namely, p and q are logically equivalent if p ↔ q is a tautology. If p and q are logically equivalent, we write p ≡ q.

p q and q p have the same truth values, so they are logically equivalent….

Commutative | p q q p | p q q p |
---|---|---|

Distributive | p (q r) (p q) (p r) | p (q r) (p q) (p r) |

Identity | p t p | p c p |

Negation | p ~p t | p ~p c |

Double Negation | ~(~p) p |

The biconditional or double implication p ↔ q (read: p if and only if q) is the statement which asserts that p and q if p is true, then q is true, and if q is true then p is true. Put differently, p ↔ q asserts that p and q have the same truth value.

They are used to determine the truth or falsity of propositional statements by listing all possible outcomes of the truth-values for the included propositions. Given two propositions, p and q, “p and q” forms a conjunction. The conjunction “p and q” is only true if both p and q are true.

The disjunction of p and q, denoted by p ∨ q, is the proposition “p or q.” The truth value of p ∨ q is false if both p and q are false. Otherwise, it is true.

If p=T, then we must have ~p=F. Now that we’ve done ~p, we can combine its truth value with q’s truth value to find the truth value of ~p∧q. (Remember than an “and” statment is true only when both statement on either side of it are true.)…Truth Tables.

p | q | p∧q |
---|---|---|

T | T | T |

T | F | F |

F | T | F |

F | F | F |

Disjunction (V: or) is false only when both statements are true. when both statements are false.

There are many candidates for the sorts of things that can bear truth-values:

- statements.
- sentence-tokens.
- sentence-types.
- propositions.
- theories.
- facts.

Logical connectives—conjunction (“and”), disjunction (“or”), negation, the conditional (“if…then”), and…… Some of these they defined truth-functionally (i.e., solely in terms of the truth or falsehood of the……

The Five (5) Common Logical Connectives or Operators

- Logical Negation.
- Logical Conjunction (AND)
- Logical Disjunction (Inclusive OR)
- Logical Implication (Conditional)
- Logical Biconditional (Double Implication)

List of common logical connectives. Commonly used logical connectives include: Negation (not): ¬ , N (prefix), ~ Conjunction (and): ∧ , K (prefix), & , ∙

When translating from English sentences into logical form, “but” generally means the same as “and”, and the phrase “neither A nor B” is translated as “not A and not B”.

truth functional connectives

nor (conjunction) nor is always used in the negative, usually before the second or last of a set of negative possibilities, we use it after ‘neither’. or (conjunction) or is used to connect different possibilities.

NOR

Acronym | Definition |
---|---|

NOR | No Original Research (Wikipedia) |

NOR | Not Ordinarily Resident (various nations) |

NOR | not or |

NOR | Notice of Readiness |

A nor usually follows a neither when they’re used in the same sentence (1). For example, you might say, “I like neither hot dogs nor mustard.” You may also use nor if you’re talking about more than two items, but you must repeat nor after each element (2).

nor in American English (nɔr ) conjunction. and not; or not; and not either. ▶ USAGE: Used: a) usually as the second in the correlative pair neither …

Abbreviation : NOR NOR – logical not or. NOR – Network Operations Engineer. NOR – Number of Optional Referendums.

The verb in an or, either/or, or neither/nor sentence agrees with the noun or pronoun closest to it. Examples: Neither the plates nor the serving bowl goes on that shelf. Neither the serving bowl nor the plates go on that shelf.

A “nor” usually follows a “neither” when they’re used in the same sentence (1). For example, you might say: I like neither hot dogs nor ketchup. You can also use “nor” if you’re talking about more than two items, but you have to repeat “nor” after each element (2).

What is another word for nor?

and not | neither |
---|---|

nor yet | not any |

not either | not one |

As a negative conjunction, “nor” is almost always used to connect two thoughts or items in a sentence that has an established negative tense. You can technically use “nor” without using any other negative term, but this is very rarely done. Using “nor” on its own will usually seem stiff and unnatural.

Both choices are used during comparisons of two things, but the difference is: Neither/nor is used when the choice is negative or the person wants to say that more than one thing is not true.