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Discover Ludwig"impossibility of doing" is a correct and usable phrase in written English.
It is often used to express a situation or action that is not possible or cannot be done. Example: The heavy rain made it impossible for us to go for a walk. In this sentence, "impossibility of doing" refers to the fact that the action of going for a walk is not possible due to the heavy rain.
Exact(17)
Part of the magic of blind drawing is the impossibility of doing it wrong.
It seems to suggest the impossibility of doing justice to life's plenitude in art.
"This issue cuts to the heart of the impossibility of doing both at once.
Several high-level E.P.A. officials have recently quit the agency, citing the impossibility of doing their jobs.
Later, in a van on the road to Erbil, I asked Makiya what — given the catastrophe, given the impossibility of doing it over — could be done.
He's speaking about the impossibility of doing justice to the brave men who have lost their lives in the war – something that resonates with the war in Iraq.
Similar(43)
The impossibility of so doing is more a problem of perception than fact; it is always a policy option open to the UK.
At that point, Ms. Kerrigan is pretending to be Mr. Herskovits, and her struggling, aborted impersonation of her director is a suitable prologue to a play that turns out to be less about what happened in the past than about the urge to recover it, the impossibility of truly doing so and the valiant futility of art itself.
The difficulty (or, as Newton alleged, the impossibility) of so doing constituted for Newton a strong argument for the existence of absolute space.
"But the impossibility of perfection does not absolve us from the path of pursuing a more perfect union". Is it just cities people are trying to escape?
This may have be owing to the impossibility to do a trio-analysis, which is generally required for relevant interpretation of variants.
More suggestions(16)
fact of doing
absence of doing
impossibility of having
impossibility of climbing
impossibility of going
impossibility of verifying
impossibility of avoiding
impossibility of finding
impossibility of thinking
impossibility of raising
impossibility of bearing
impossibility of loving
impossibility of transporting
impossibility of ensuring
impossibility of using
impossibility of getting
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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