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Discover Ludwig'brute fact' is correct and can be used in written English.
It is used to describe an objective truth or something that has been proven to be true based on empirical evidence. For example, "The brute fact remains that climate change is already having a devastating impact around the world."
Dictionary
brute fact
noun
An inscrutable datum of experience; a thing that is undeniably the case, but which is impervious to reasoned explication.
Exact(60)
It is brute fact.
The brute fact is that most mergers don't work.
That can simply be a brute fact about one's psychology.
The correspondences between them are a matter of brute fact.
Can she give her ordeal meaning beyond the brute fact of the thing itself?
In the hands of Faulkner brute fact leads to little but folly and despair".
A day later, brute fact had replaced wishful conjecture: "TITANIC SINKS, 1500 DIE".
A joke accepts the target of its critique as a brute fact of life.
It accepts the target of its critique as a brute fact of life.
But what Bellah finds attractive in evolutionary theory is the brute fact of human insignificance.
The sheer brute fact of it is the only one that matters.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com