to imagine away
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to be indispensable
To remove or block out in one's imagination. Usually used in the negative ('nicht wegzudenken sein') to express that someone or something has become indispensable.
Smartphones sind aus unserem Alltag nicht mehr wegzudenken.
Smartphones have become indispensable in our everyday lives.
'Wegdenken' (to imagine away) is a separable verb. The prefix 'weg-' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Manchmal möchte ich meine Sorgen einfach wegdenken.
Sometimes I just want to imagine my worries away.
The most common use is the fixed expression 'nicht mehr wegzudenken sein' (to have become indispensable). It means that someone or something has become indispensable or an integral part.
Das Internet ist aus dem modernen Leben nicht mehr wegzudenken.
The internet has become indispensable in modern life.
In this meaning, 'wegdenken' (to imagine away) describes a conscious mental action. You ask someone to imagine a situation without a particular element.
Denk mal den ganzen Stress weg, dann war es doch ein schöner Urlaub.
Just imagine all the stress away; then it was actually a nice vacation.
to consider
'berücksichtigen' and 'wegdenken' are clear opposites here. When you berücksichtigen something, you include it in your planning or decision. When you wegdenken something, you deliberately remove it from your imagination or leave it aside for the moment. So 'berücksichtigen' fits when a factor is important and should be taken into account. 'wegdenken' fits when you want to see what a situation would be like without that factor, or when you want to focus on other points.
Beim Vergleich der Angebote denken wir die Lieferkosten zuerst weg.
When comparing the offers, we first mentally set aside the delivery costs.
Wir berücksichtigen bei der Feier auch, dass einige Freunde früher gehen müssen.
For the celebration, we are also taking into account that some friends have to leave earlier.