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The phrase "accepting this assertion" is correct and usable in written English.
It can be used when discussing the agreement or acknowledgment of a statement or claim made by someone else.
Example: "In the context of our debate, accepting this assertion would lead us to reconsider our previous conclusions."
Alternatives: "acknowledging this claim" or "endorsing this statement".
Exact(3)
However, the QC cast doubt on current police assurances, concluding: "We have some reservations about accepting this assertion".
Scotland Yard told the Ellison review that the link was false, but the report cast doubt on current police assurances, concluding: "We have some reservations about accepting this assertion".
"We have some reservations about accepting this assertion," the review states.
Similar(53)
Other researchers, however, hesitate to accept this assertion and group the fossils with similar remains classified as H. heidelbergensis.
In granting the injunction, Lamberth accepted this assertion and claimed hESC researchers would not be seriously harmed because they could "obtain private funding for their research".
In his appeal court ruling last year Lord Phillips, Master of the Rolls, said that he had "difficulty" accepting the assertion of the attorney general that courts could make it a criminal offence for a newspaper to fail to obtain clearance from him before publishing material to which he might not object.
Asking for simple directions provides a handy illustration of the DR: If a stranger (speaker) tells you to turn right at the next corner in answer to your request to find a gasoline station, you are justified in accepting the assertion without being told you how the speaker knows it.
This committee accepted the assertion by the U.S. EPA that human exposure limits based on liver cancer would be sufficiently protective against cancer developing in other tissues.
I refused to fully accept the assertion, even as "This is why" tiles began falling into place in my memory, spelling out the truth like a demented Scrabble game.
I take this assertion as fact and accept it as an initial property and endowment of all genetic aggregates, cells and organisms on this planet.
Mr. Green did not accept that assertion.
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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