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Discover LudwigThe part of a sentence "only a finite" is correct and usable in written English.
You can use it when referring to an amount or quantity that is limited in scope or duration. For example, "We have only a finite amount of time to finish this project".
Exact(60)
There is only a finite amount of usable resources.
"And because there is only a finite number of retail space, it drives up the rent.
"There's only a finite amount of hours that people are willing to work," he says.
Of course there is only a finite amount of physical stuff in the refrigerator.
Foremost, the eye can take in only a finite amount of resolution.
The original programmers determined that only a finite number of bitcoins would be created.
Discrete signals can represent only a finite number of different, recognizable states.
Mr. Hall begins with the biologist Leonard Hayflick's important discovery that human cells replicate only a finite number of times.
Soon road B gets "beyond infinity" in road A units, though it need be only a finite road.
"The other thing to consider, though, is that there are only a finite number of journalists covering the sport".
Only a finite number of bitcoins can be created — 21 million — with the current count at about 11 million.
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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