The phrase "accept this notion" is correct and usable in written English.
You can use it when you want to encourage someone to agree with or acknowledge a particular idea or concept.
Example: "In order to move forward with the project, we must first accept this notion that collaboration is key to our success."
Alternatives: "embrace this idea" or "acknowledge this concept."
"If we accept this notion, it will happen again".
Putin can hardly expect his adversaries to accept this notion.
"The [strategy] that I recommended was: We should not accept this notion," he says.
If we accept this notion of microvacuoles, then it becomes possible to explain certain pathologies occurring with age, such as edema, obesity, aging and inflammation.
And that's why I don't accept this notion that discussions about it, about what we do about it, are radical, are dangerous.
Once we accept this notion, we seem to be on a path that will eventually lead us to the conclusion that there are indefinitely many worlds each of which is qualitatively indiscernible from the real world, but differing from it only in the identities of the individuals playing the various roles.
For too long, we have mistakenly accepted this notion and its implication — that white women were of one mind about politics.
But with the system crumbling in recent months, Ms. Dorzback said, "people are now accepting this notion of a lost year".
Having accepted this notion, Kubrick went one step further and commissioned the Vickers Engineering Group to make an actual centrifuge, large enough for the astronauts to live in full time.
If one accepts this notion, the next question is whether β-cell defects are primarily functional in nature or whether a reduction in the number of insulin-secreting cells (i.e., β-cell mass) is the leading problem in type 2 diabetes.
To accept that this notion is true may suggest that you have been lied to about how the system works, provoking resentment.
