insight / access
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insight
The understanding or recognition of a situation, often also of one's own mistake. It describes the moment when you grasp something.
Nach langem Nachdenken kam er zur Einsicht, dass sein Verhalten falsch war.
After long reflection, he came to the insight that his behavior had been wrong.
to inspect / access
The possibility or process of viewing and checking official documents, files, or records. This is often a legal or administrative term.
Der Anwalt beantragte Einsicht in die Akten des Falls.
The lawyer requested access to the files in the case.
The word is made up of 'ein' (in/into) and 'Sicht' (view). An 'Einsicht' is therefore literally a 'look inside' a situation, which explains the meaning 'understanding' or 'realization' well.
Seine Erklärung gab mir eine neue Einsicht in das Problem.
His explanation gave me a new insight into the problem.
'Die Einsicht' (the insight/realization) is the noun for the verb 'einsehen' (to realize/admit). When you acknowledge a mistake, you 'kommt man zur Einsicht' (come to the realization).
Ich sehe ein, dass ich einen Fehler gemacht habe.
I realize that I made a mistake.
In the meaning of 'understanding', 'Einsicht' is often used in fixed expressions. The most common are 'zur Einsicht kommen' (to come to the realization) or 'Einsicht zeigen' (to show insight).
Nach dem Gespräch zeigte er endlich Einsicht.
After the conversation, he finally showed insight.
In an administrative or legal context, the fixed expression 'Einsicht nehmen in' (+ accusative) is very common. It means that you inspect official documents.
Die Journalistin wollte Einsicht in die geheimen Dokumente nehmen.
The journalist wanted to inspect the secret documents.
The meaning 'Akteneinsicht' (access to files/inspection of files) belongs to administrative and legal language. In everyday speech, you would more likely say that you are looking at papers or documents.
Der Antrag auf Einsicht in die Baupläne wurde genehmigt.
The request for access to the building plans was approved.
understanding
Verständnis and Einsicht can both mean that someone grasps a matter. Verständnis tends to describe a general understanding of reasons and connections. Einsicht often emphasizes the moment of realization and can additionally mean that someone acknowledges a truth, a mistake, or a consequence inwardly.
Nach der Erklärung kam er zu der Einsicht, dass er die Frist einhalten muss.
After the explanation, he realized that he had to meet the deadline.
Die Erklärung gab ihm ein besseres Verständnis dafür, warum die Frist wichtig ist.
The explanation gave him a better understanding of why the deadline is important.
