Stative Question

In some contexts, I've seen stative verbs defined, for English at least, as
verbs that don't take progressive, like "know."

In other contexts, I've seen stative verbs defined as verbs that do the work
of predicate adjectives, obviating the copula.   ("It reds." instead of "It
is red.")

Why are both sorts of verbs called "stative"?

Jim G.