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Indirekt vs. mittelbar

In German, the words indirekt and mittelbar can both mean indirectly, but they differ slightly in usage, connotation, and the contexts in which they are used.

Indirekt

B1
Indirekt refers to something that is not direct or straightforward. It often carries the nuance of being second-hand, ambiguous, or achieved through an indirect method. This word is frequently used in everyday, modern speech.
Er hat das Problem nur indirekt angesprochen.
(He only addressed the problem indirectly.)
Die Kritik war indirekt, aber trotzdem deutlich.
(The criticism was indirect, but still clear.)
Das Gerücht habe ich nur indirekt erfahren.
(I only heard about the rumor indirectly.)

Mittelbar

B2
Mittelbar also means indirect, but it tends to have a more formal and technical tone. It is often used in philosophical, legal, or academic contexts to describe indirect relationships, influences, or connections via intermediaries.
Das Unternehmen hat nur mittelbaren Einfluss auf die lokalen Preise.
(The company has only an indirect influence on local prices.)
Unsere Erkenntnisse waren nur mittelbar durch die Forschungsergebnisse anderer Wissenschaftler möglich.
(Our findings were only indirectly possible through the research results of other scientists.)
Die mittelbare Wirkung der neuen Gesetze wird erst später deutlich werden.
(The indirect effect of the new laws will only become apparent later.)

Summary

While both indirekt and mittelbar mean indirectly, indirekt is more common in everyday language and suggests ambiguity or second-hand communication. Mittelbar, on the other hand, is more formal and tends to refer to indirect influences or connections in legal, philosophical, or academic contexts.