The phrase "acknowledged the notion that" is correct and usable in written English.
It can be used when discussing an acceptance or recognition of a particular idea or concept in a formal or academic context.
Example: "The researcher acknowledged the notion that climate change is a pressing global issue that requires immediate action."
Alternatives: "recognized the idea that" or "accepted the concept that".
One review acknowledges, "The notion that the mother's mood disturbance or stress levels during pregnancy may influence the developing child has a robust history across cultures and is widely embedded in folk psychology".
Thus, the ANGELO is wide in scope, and acknowledges the notion that obesity prevention in migrant populations requires a broad environmental focus on determinants of obesity, beyond the individual level.
Noting the success that CBS had with its Webcast of the NCAA Division I men's basketball tournament in March, he acknowledged that "the notion that some day 10 million people are going to watch something over the public Internet at the same time" is going to pose challenges for cable companies.
As Wiggins himself acknowledges, the notion of harm can vary based on sociocultural context.
As this passage illustrates, Locke himself acknowledges that the notion that the mind is a kind of repository or storehouse is metaphorical.
"Our policy, when an error occurs in an earlier version of a story, is to acknowledge it, so the notion that we are covering up or hiding our errors is wrong," she wrote in an e-mail.
Requirements engineering has long acknowledged the importance of the notion that system requirements are stakeholder goals – rather than system functions – and ought to be elicited, modeled and analyzed accordingly.
Martha Stewart, the chief executive of Martha Stewart Living Omnimedia, acknowledged this shortcoming but disputed the notion that changing it would be easy.
As they acknowledge, we did not endorse the notion that optimal care means correctly identifying and referring a patient with cancer during the first consultation (Lyratzopoulos et al, 2013).
General Smeshko has acknowledged meeting Mr. Yushchenko but dismissed the notion that he might have been involved in poisoning him, as many of Mr. Yushchenko's supporters say they suspect.
