Terminology
The prefix "co-" in the term "cofinal" is used in the sense of "together with", similar to its use in the word "covariant". However, the prefix "co" in category theory has a conflicting meaning, indicating the dualized form of a concept obtained by passing to the opposite category, and so the word "cofinal" could easily be misinterpreted to mean "dual to final". The term "final" as it is used in this article historically arises from modifying the term "cofinal" to avoid confusion over the meaning of the prefix. ==References==