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What's the difference between p∨q and p∧q?
P∨q is p or q, and p∧q is p and q.

"∧" means ∧, which is equivalent to the intersection of sets. The true value of the proposition P∧Q is related to the true values of P and Q. When both P and Q are true propositions, the proposition P∧Q is true and others are false propositions.

"∨" means or, which is equivalent to the union of sets. The truth value of the proposition P∨Q is also related to the truth values of P and Q. When both P and Q are false propositions, the proposition P∨Q is false and the rest are true propositions.

Extended data

True proposition: A true proposition is a correct proposition, that is, if the topic of the proposition is established, then the conclusion must be established.

Pseudo-proposition: A proposition can be written as follows: If+proposition holds, then+conclusion. For all backgrounds, the proposition that the stated situation is not true is a false proposition.

The relationship between truth and falsehood of propositions: two propositions are mutually negative propositions, and they have the same truth and falsehood; Two propositions are reciprocal propositions or reciprocal propositions, and their truth values are irrelevant (the original proposition and reciprocal proposition are true and false, and reciprocal proposition is true and false).

reference data

Baidu encyclopedia-true proposition

Baidu encyclopedia-false proposition