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The phrase "a whole exists" is correct and usable in written English.
It can be used in contexts discussing philosophy, mathematics, or concepts of completeness and existence.
Example: "In the realm of philosophy, the idea that a whole exists independent of its parts raises intriguing questions about the nature of reality."
Alternatives: "a complete entity exists" or "an entirety is present".
Exact(5)
But the state of flux that Savamala, and the city as a whole, exists in, is what makes it so exciting.
Suppose the entire collection of finite modes, considered as a whole, follows from an absolutely necessary infinite mode and that the entire collection as a whole exists with absolute necessity.
Therefore, East Asia, as a whole, exists the lonely countries, such as China, Japan, Korea, North Korea, and Mongolia, as well as the lonely regions like Taiwan of China.
The thought of such a teleological order in turn leads to two further ideas: the idea of the ultimate purpose [letzter Zweck] of nature, which is something within nature for whose sake all other things within nature exist (§82, 426ff), and the idea of the final purpose [Endzweck] of nature, which is something outside of nature for whose sake nature as a whole exists (§67, 378f.; §84, 434ff).
No report on the effectiveness of Operation Shed Light as a whole exists.
Similar(55)
It is possible that the trail as a whole existed as a spur of an ancient path that stretched from Rhinebeck to Cornwall, Connecticut.
We live in a time where a whole industry exists to make up stories.
A whole vocabulary exists to describe them.
This would reduce the risk for patients, as the protein as a whole already exists in healthy individuals.
A whole industry exists on forging (and often, glamorising) links between the genius and madness of dead artists; whole sections in Waterstones are dedicated to the pathologies of, say, murderous tyrants or avant-garde philosophers.
"It is incredible that a whole industry exists to make products like this.
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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