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"presumed knowledge" is correct and usable in written English.
In general, you would use this phrase to refer to information that is assumed to be known by the reader, listener, or other person. For example, "In this discussion, we will assume the reader has a presumed knowledge of the subject."
Exact(7)
If the anthrax crisis has taught us anything, it is that neither we -- nor the nation's supposed experts in disease and bioterrorism -- should trust our instincts or our presumed knowledge.
Since at least the time of René Descartes (1596 1650), one of the basic problems of Western philosophy had been to establish a secure foundation for the individual human's presumed knowledge of the world around him on the basis of phenomena or experiences about which he could be certain (see epistemology).
"There are a lot of raw materials for social historians in the presumed knowledge of the time, and his World War One work in particular is revealing of how attitudes changed through the course of the conflict".
We are also often confronted by the limitations of our own presumed knowledge of whatever material contrivances we happen to be working with.
If you read through Dr. Hoeh's article you can see how naive readers would be taken in by his presumed knowledge of history while all mainstream historians and archaeologists, lacking biblical faith, are thus deluded and can't see the truth.
Although not always justified, competence and thoroughness of the physician are usually assumed on the basis of the doctor's presumed knowledge base, experience, and certification.
Similar(53)
"Common sense dictates that landlords will have an agent or employee checking the property regularly," Justice Buckley wrote in the decision, adding that the use of the phrase "openly and notoriously" in the ordinance "shows a legislative intention to presume knowledge on the part of the landlord".
However, the value of these formulas is limited in a critically ill population; they presume knowledge of volume of distribution (Vd) and total body clearance (TBC), which is problematic in an ICU population.
Assuming you know what her disability is can be offensive; it is better to ask than to presume knowledge.[16].[16]
But "Defying Dixie" sometimes assumes that readers are already familiar with a panoply of otherwise unidentified groups and individuals: One page makes a passing reference to "the 1880s Knights of Labor Constitution," and the next presumes knowledge of both Eugene V. Debs and Upton Sinclair.
However, that presumes knowledge of the appropriate scaling.
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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