All 6 Uses

nevertheless
in
By the Waters of Babylon
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That was when I was very young—nevertheless, my brothers would not have done it, though they are good hunters.†
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nevertheless = despite that (used to connect contrasting ideas)
Nevertheless, my knowledge and my lack of knowledge burned in me—I wished to know more.†
Nevertheless, as I made the raft, the tears ran out of my eyes.†
Nevertheless, when I had dried my bow-string and re-strung it, I walked forward to the Place of the Gods.†
Nevertheless, it was strange.†
Nevertheless, we make a beginning.†

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)