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The phrase "a universal fact" is correct and usable in written English.
It can be used to refer to a statement or idea that is generally accepted as true across different contexts or cultures.
Example: "It is a universal fact that water is essential for life on Earth."
Alternatives: "a global truth" or "a widely accepted fact".
Exact(15)
A princely marriage is the brilliant edition of a universal fact, and, as such, it rivets mankind".
"A princely marriage is the brilliant edition of a universal fact," Bagehot wrote, "and as such, it rivets mankind".
In other words, part of the disconnection that the movie presents as a universal fact of our world is produced by the odd way it is put together.
"PRINCELY marriage is a brilliant edition of a universal fact" that "rivets mankind", observed Walter Bagehot, a Victorian editor of The Economist.
(The catch here is that the color of the ball represents a particular quantum state, which is a universal fact, and so everyone in the world knows that these balls must be red or blue. And if one is blue, the other is red). The two travel at opposite distances near the speed of light.
It is a universal fact that there is no project without uncertain events.
Similar(45)
As O. O. Howard, a leading military official, later described the period after the Emancipation Proclamation was issued, "The sudden collapse of the rebellion, making emancipation an actual, universal fact, was like an earthquake.
(A balancing argument is an existence proof for a type of force. Its premises are (1) an accepted universal fact, viz.
In Kant's particular version of the balancing argument, the universal fact is the constancy of mass density in a control volume; and the given force is "original repulsion," whose existence he proves in Proposition 4).
How do we make use of this universal fact?
These reading speed improvements are relevant, because the single most salient and universal fact about skilled reading is the remarkable speed and apparent effortlessness word identification54.
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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