explainable
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explainable
In such a way that it can be explained or justified. A logical cause or reason can be found for a phenomenon or behavior.
Sein plötzlicher Wutausbruch war für niemanden im Raum erklärbar.
His sudden outburst of anger was explainable to no one in the room.
The adjective is formed from the verb 'erklären' (to explain) and the ending '-bar' (-able). The ending '-bar' means that something can be done — here, that something can be explained.
Viele Naturgesetze sind mathematisch erklärbar.
Many laws of nature are mathematically explainable.
To indicate the reason for or method of the explanation, the preposition 'durch' (through/by) is often used. The structure is then: 'etwas ist durch etwas erklärbar' (something is explainable by/through something).
Der Fehler im System war nur durch eine genaue Analyse erklärbar.
The error in the system was explainable only through a detailed analysis.
'Erklärbar' (explainable) is very often used in negative form to express that something is a mystery. Typical formulations are 'nicht erklärbar' (not explainable), 'kaum erklärbar' (hardly explainable), or 'rational nicht erklärbar' (not rationally explainable).
Warum er so gehandelt hat, ist mir einfach nicht erklärbar.
Why he acted that way is simply not explainable to me.
understandable
'verständlich' and 'erklärbar' can both mean that something makes sense. The difference is in the focus. 'verständlich' fits when you can understand something well or follow the reasoning behind a reaction. 'erklärbar' is used more when there is a reason or cause for something. Learners may confuse the words because both have to do with understanding. A practical tip: a statement is 'verständlich' if it is clearly worded. A problem or behavior is 'erklärbar' if you can say why it happens.
Ihr Fehler bei der Arbeit war erklärbar, weil sie die neue Software noch nicht kannte.
Her mistake at work was explainable because she wasn't familiar with the new software yet.
Wegen des starken Lärms war seine Frage kaum verständlich.
Because of the loud noise, his question was barely understandable.