Both Uses

nevertheless
in
An Enemy of the People
(Auto-generated)

But truths as aged as that are always worn frightfully thin, and nevertheless it is only then that the majority recognises them and recommends them to the community as wholesome moral nourishment.†
Act 4 *

nevertheless = despite that (used to connect contrasting ideas)
Oh, I could give you a whole string of such abominations; but to begin with I will confine myself to one well-approved truth, which at bottom is a foul lie, but upon which nevertheless Mr. Hovstad and the "People's Messenger" and all the "Messenger's" supporters are nourished.†
Act 4

Definitions:

(1) (nevertheless)
despite that

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 was just stated, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (meaning too rare to warrant focus)