In logic, a conjunction is a proposition that contains two (or more) sub-statements linked by “and”.
Example:
It is raining and the sun is shining
A conjunction is true exactly when both sub-statements are true.
| A | B | A ∧ B |
|---|---|---|
| true | true | true |
| true | false | false |
| false | true | false |
| false | false | false |
The way we are using the word “and” in common language is not always the same way as in logic. In everyday language, it can also express causal connections or temporal sequences. However, these are not conjunctions in the logical sense.
In the context of this website, the ∧ symbol (pronounced “et”) is used as a sign for the conjunction. In other publications, & or ∩ are also used, among others.