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The phrase "amount of interconnectedness" is correct and usable in written English.
It can be used when discussing the degree or level of connections or relationships between different entities, systems, or concepts.
Example: "The amount of interconnectedness between global economies has increased significantly in recent years."
Alternatives: "degree of interconnectedness" or "level of interconnectedness".
Exact(2)
The distinction between these banks and their corporate clients is blurry: at the heart of Iceland's adventure was a small group of men and a fair amount of interconnectedness; and it's tempting, if not entirely just, to think of them as partners in a single giant national hedge fund.
One of the main tropes of the digital age is how an increasing amount of interconnectedness has made tech-savvy humans settle into an opposite effect: isolation.
Similar(56)
The topological overlap measure is a highly robust measure of interconnectedness [ 33, 34].
Toward this end we use topological overlap, which is a robust measure of interconnectedness [ 47- 49].
It speaks of "interconnectedness" and "diffuse power".
It all had a logic of interconnectedness".
This exaltation of feelings of interconnectedness is questionable on two counts.
And in difficult times, this kind of interconnectedness can be strangely comforting.
They enhance a sense of interconnectedness of all lives.
They created a physical system of interconnectedness around the world.
It is our priorities and our sense of interconnectedness that are broken.
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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