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The phrase "achieved knowledge of" is correct and usable in written English.
It can be used when discussing the attainment or acquisition of understanding or information about a particular subject or topic.
Example: "After years of study and research, she achieved knowledge of ancient civilizations that few others possess."
Alternatives: "gained understanding of" or "acquired knowledge of".
Exact(1)
Because all stereotactic radiosurgery procedures produce steep dose distributions and because the ideal "snapshot" of MR scanning cannot be achieved, knowledge of the ferric ion diffusion time scale is important in experimental designs in order to avoid potential measurement errors in MRI-Fricke-agarose gel dosimetry.
Similar(59)
After the head, the hand is, as Ms. Sherman puts it, the "most distinctively human and anatomically advanced part of the body"; its representations play an essential role in "achieving knowledge of the self and interpreting universal human experience".
The ideal of aperspectivity is justified as a means to achieve knowledge of the way things are, independently of their relations to knowers.
Xenophanes' most enduring philosophical contribution was arguably his pioneering exploration of the conditions under which human beings can achieve knowledge of the certain truth.
Perhaps more importantly, Newton's view of motion, his understanding of space and time, and his approach to achieving knowledge of natural phenomena, helped to shape the agenda of British philosophy for the next fifty years.
While the complexity requirement for the best of all possible worlds would seem to preclude in principle the possibility of human beings achieving knowledge of the universe sub specie aeternitatis, Leibniz made a special exception for human souls.
Perhaps because the process for achieving knowledge of fundamental truths requires sustained, systematic doubt, Descartes indicates that such doubt should be undertaken only once in the course of a life (7:18; 3 695).
The ideal of external guidance assumes that to achieve knowledge of the way things "objectively" or "really" are, independent of knowers, one's beliefs must be guided by the nature of the object, not by the presuppositions and biases of the knower.
In the Inquiry, a methodologically pioneering work due to its extensive and rigorous use of observational data to justify claims about perception, Reid examines each of the five senses and discusses the ways in which we achieve knowledge of the world by employing them.
Since 1995, the Ministry of Education has defined the purpose of the subject in the following way: 'The students must achieve knowledge of biblical stories and understanding of the importance of Christianity for the values in our cultural sphere' (Undervisningsministeriet [Ministry of Education], 1995a, 2009a).
On the other hand, phenomenology itself claims to achieve knowledge about the nature of consciousness, a distinctive kind of first-person knowledge, through a form of intuition.
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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