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"impossibility about" is a correct phrase and can be used in written English.
It is typically used to indicate doubt or uncertainty about something being possible. Example: There is an air of impossibility about completing this project on time.
Exact(1)
Greig, editor of the London Evening Standard, said the prize, which chooses the best overall book from five categories – novel, biography, poetry, children's novel and first novel – was one which came "with a sense of impossibility about it.
Similar(58)
West, realising the impossibility of writing about the era without stating allegiances, nails his own colours to the mast in his introduction: 'Although an Anglican, not a Dissenter, I agree with Defoe on most of the issues of his age, such as Scotland, the Hanoverian Succession and the Duke of Marlborough's war with France.
Brandenburger and Keisler formalize the above argument in order to prove a very strong impossibility result about the existence of so-called assumption-complete structures.
The Times was much taken by Mr Amis's not especially original reflections about the impossibility of writing successfully about sex in a novel.
Accordingly, creative types have done an unusual amount of thinking about plausible impossibility.
This catwalk malarkey is about impossibility, extravagance and deception.
In doing so, it makes clear the near impossibility of generalizing about immigrants and the immigrant experience.
With Satin Island, I wanted to write from that place of confusion and impossibility – not just about it but somehow from it, too.
Apart from monitoring gas release in real time during an earthquake — a practical impossibility — "this is about as close as you're going to get" to proving that it occurs, he said.
Later Pierre formulated the principle of symmetry, which states the impossibility of bringing about a specific physical process in an environment lacking a certain minimal dissymmetry characteristic of the process.
It is important to understand why and how Arrow's impossibility result comes about.
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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