inability
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inability
The lack of the necessary strength, knowledge, competence, or means to do something specific.
Seine Unfähigkeit, zuzuhören, macht jede Diskussion mit ihm schwierig.
His inability to listen makes every discussion with him difficult.
The word is made up of the negating prefix 'un-' and the noun 'Fähigkeit' (ability). So it literally describes the absence or opposite of an ability.
Seine Unfähigkeit, Entscheidungen zu treffen, lähmt das ganze Team.
His inability to make decisions paralyzes the whole team.
'Unfähigkeit' is very often expanded with an infinitive construction using 'zu' in order to explain what the inability consists of. The structure is: 'die Unfähigkeit, etwas zu tun' (the inability to do something).
Ich bin frustriert über meine Unfähigkeit, diese Sprache fließend zu sprechen.
I am frustrated by my inability to speak this language fluently.
In general usage, 'Unfähigkeit' is often combined with verbs like 'zeigen' (to show) or 'beweisen' (to prove). Adjectives like 'völlig' (complete) or 'offensichtlich' (obvious) can intensify the statement.
Der Politiker offenbarte seine völlige Unfähigkeit in der Krise.
The politician revealed his complete inability in the crisis.
In legal or medical contexts, 'Unfähigkeit' is often part of technical terms such as 'Arbeitsunfähigkeit' (incapacity for work) or 'Geschäftsunfähigkeit' (legal incapacity). These have a very precise, legally defined meaning.
Wegen seiner Krankheit erhielt er eine Bescheinigung über seine Arbeitsunfähigkeit.
Because of his illness, he received a certificate confirming his incapacity for work.
ability
'die Fähigkeit' and 'die Unfähigkeit' form a clear contrast. 'Fähigkeit' means that someone can do something because they have the necessary knowledge, skill, or strength. 'Unfähigkeit' means that exactly this ability is missing. Both words can refer to a specific task, for example planning, deciding, learning, or physical activities. The reference is important: you have 'die Fähigkeit zu etwas' (the ability for something) or 'die Unfähigkeit, etwas zu tun' (the inability to do something). 'Unfähigkeit' often sounds stronger and can come across as critical or negative.
Nico ärgert sich über seine Unfähigkeit, vor vielen Menschen ruhig zu sprechen.
Nico is annoyed by his inability to speak calmly in front of many people.
Ihre Fähigkeit, Probleme schnell zu lösen, wird in der neuen Stelle sehr wichtig sein.
Her ability to solve problems quickly will be very important in the new position.