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The phrase "a rational system of" is correct and usable in written English.
It can be used when discussing frameworks, methodologies, or approaches that are based on logical reasoning or sound principles.
Example: "The researchers proposed a rational system of evaluation to assess the effectiveness of the new treatment."
Alternatives: "a logical framework for" or "a reasoned approach to".
Exact(21)
In a rational system of medical care, there would be virtually no restrictions on financing abortions.
The new scheme should be a rational system of moderate reimbursement, not an exercise in the appeasement of populist prejudice.
In both cases "we're not talking about a rational system of rewards — just random acts of kindness".
Here are some excerpts from this letter: We sincerely feel that this country is the haven of all who aspire to live under a rational system of government.
The Commentaries came at the right moment and' satisfied a need for bringing the multilayered common law into a rational system of substantive rules.
"If a severe pandemic materializes," Dr. Redlener said, "all of society could pay a heavy price for decades of failing to create a rational system of health care that works for all of us".
Similar(39)
While the pros will tell you all about the importance of having a rational system for arbitrating disputes over the Alaskan continental shelf, the cons spin up conspiracy theories about how the International Seabed Authority will force us to give up our cars and cancel the war on terror.
The French Revolution of 1789 provided an opportunity to pursue the frequently discussed idea of replacing the confusing welter of thousands of traditional units of measure with a rational system based on multiples of 10.
I am not against carnival but I want a more rational system of dealing with it".
We felt that such a switch would be good for the BBC, as well as paving the way for a more rational system of PSB supply.
Mr Schröder dismissed this angrily: the point, he said, was not to increase German power, but to give the EU a more rational system of government.Maybe so.
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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