settlement / positing / setting
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settlement
The slow sinking of a structure or layers of soil due to compaction or weight load.
Durch die Setzung des Fundaments entstanden Risse in der Hauswand.
Cracks appeared in the house wall due to the settlement of the foundation.
The noun 'Setzung' is derived directly from the verb 'setzen' (to set, to put). The ending '-ung' here describes the result or process of setting. So the basic idea is that something is fixed, set, or established.
Die Setzung von Standards ist ein wichtiger erster Schritt.
The setting of standards is an important first step.
This meaning is a technical term from construction and geology. You can recognize it from words like 'Gebäude' (building), 'Fundament' (foundation), 'Boden' (soil/ground), or 'Mauerwerk' (masonry) in the same context.
Ein Architekt muss mögliche Setzungen des Baugrunds immer einkalkulieren.
An architect must always factor in possible settlements of the building ground.
In this sense, 'Setzung' is a technical term from philosophy and logic. It appears in discussions about ethics, values, or fundamental assumptions.
Die absolute Setzung der Vernunft ist ein zentrales Thema bei Kant.
The absolute positing of reason is a central theme in Kant.
In the legal field, 'Setzung' is almost always used in fixed combinations. The most common are 'die Setzung einer Frist' (the setting of a deadline) or 'die Setzung eines Termins' (the setting of a date).
Das Gericht ist für die Setzung des Verhandlungstermins verantwortlich.
The court is responsible for setting the hearing date.
assumption / acceptance
'die Annahme' and 'die Setzung' can both refer to a starting point for further thinking. But 'die Annahme' is the normal word for an assumption or hypothesis. You temporarily take something to be true. 'die Setzung' is much more specialized and sounds technical. It means that a principle, value, or assumption is deliberately established as a basis. Learners may confuse them because both can stand at the beginning of an argument. In everyday language, 'Annahme' is almost always more natural; 'Setzung' fits more in philosophy, logic, or very formal texts.
Die Setzung eines festen Prinzips macht die Theorie klarer.
The positing of a fixed principle makes the theory clearer.
Bei dieser Annahme fehlen uns noch sichere Zahlen.
For this assumption, we still lack reliable figures.