All 4 Uses

nevertheless
in
Childhood's End
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Nevertheless, more than five million patriots, in every country, have signed our petition.†
Chpt 2 *

nevertheless = despite that (used to connect contrasting ideas)
Nevertheless, one major power had made the attempt.†
Chpt 2
Though it had always been obvious to any rational mind that all the world's religious writings could not be true, the shock was nevertheless profound.†
Chpt 6
Nevertheless, to human observers the spectacle was disturbingly schizophrenic.†
Chpt 7

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)