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The phrase "abstract exercise" is correct and usable in written English.
It can be used to refer to a theoretical or conceptual task that is not grounded in practical application, often used in academic or philosophical contexts.
Example: "The professor assigned an abstract exercise to encourage students to think critically about the underlying principles of the theory."
Alternatives: "theoretical task" or "conceptual exercise".
Exact(19)
Fidesz is in many ways an abstract exercise.
The crowd felt that all his energy and passion was spent on perfecting Bayern's football, almost as an abstract exercise.
For most Americans, though, putting one's name on a financial document accepting responsibility is not a casual or abstract exercise.
How much this proves to be an abstract exercise and how much it produces actual jobs remains to be seen.
What saves "Five in the Morning" from being an abstract exercise is that it's rooted in these characters — trapped, struggling neurotics brought to life with tenderness.
"A tall, cold cod like Eastwood removes the last pretensions to human feeling from the action melodrama, making it an impersonal, almost abstract exercise in brutalization".
Similar(40)
These abstract exercises have yet to be reflected in real cars.
An essay on separateness and connectedness may sound like an abstract philosophical exercise.
About a year ago, he decided to do something with them online as an abstract intellectual exercise — "sort of the way other people do crossword puzzles" — and as something with public policy potential.
This isn't an abstract thought exercise.
In this remote Yup'ik tribal community on Alaska's southwest shore, this sort of brainstorming is not an abstract academic exercise.
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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