Also means
to ruminate persistently
Usage Note
Nachgrübeln adds the sense of continuing to brood after the fact. Über etwas nachgrübeln implies dwelling on an issue repeatedly once it has passed. It is more persistent and retrospective than plain grübeln.
Examples
"Noch Wochen später grübelte er über die Entscheidung nach."
Natural Translation
Even weeks later he kept brooding over the decision.
Literal Translation
Still weeks afterwards brooded he over the decision after.
Related Words
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