to engage with / deal with
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to engage with
To deal intensively in thought with a topic, question, or problem.
Im Seminar haben wir uns mit den Ursachen des Klimawandels auseinandergesetzt.
In the seminar, we engaged with the causes of climate change.
'Auseinandersetzen' (to engage with/deal with) is a separable verb. The prefix 'auseinander' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Ich setze mich mit dem Problem auseinander.
I am dealing with the problem.
This verb is reflexive and is always used with the preposition 'mit' and the dative. So the structure is always: 'sich mit etwas/jemandem auseinandersetzen' (to engage with/deal with something/someone).
Du musst dich mit den Konsequenzen auseinandersetzen.
You have to deal with the consequences.
The context after 'mit' reveals the exact meaning. If a topic or problem follows, it is about engaging with something intellectually. If a person follows, it is usually about an argument or discussion.
Sie setzt sich mit der deutschen Geschichte auseinander.
She engages with German history.
When referring to intellectual engagement, the verb is often combined with abstract nouns. Typical phrases are: 'sich mit einem Thema auseinandersetzen' (to engage with a topic), 'sich mit einer Frage auseinandersetzen' (to engage with a question), 'sich mit einem Buch auseinandersetzen' (to engage with a book), or 'sich mit einer Theorie auseinandersetzen' (to engage with a theory).
In ihrer Bachelorarbeit hat sie sich mit künstlicher Intelligenz auseinandergesetzt.
In her bachelor's thesis, she engaged with artificial intelligence.
to treat / to deal with
'behandeln' and 'sich auseinandersetzen mit' can both mean that you deal with a topic. 'behandeln' is more neutral and works well for lessons, texts, talks, or meetings. It can also be rather superficial or brief. 'sich auseinandersetzen mit' emphasizes that you think about something more closely, examine it, and really engage with a question or problem. The words can be confused because both are used with topics and problems. As a guide: a text 'behandelt' a topic; a person 'setzt sich intensiv mit einem Thema auseinander' (engages intensively with a topic).
Nach der Arbeit setzt sich mein Freund mit dem Problem im Team auseinander.
After work, my friend engages with the problem in the team.
Das Buch behandelt die Geschichte einer Familie in Berlin.
The book deals with the history of a family in Berlin.