The phrase "acknowledge that possibility" is correct and usable in written English.
You can use it when discussing the recognition or acceptance of a potential outcome or scenario in a conversation or argument.
Example: "In our discussion about climate change, we must acknowledge that possibility of severe weather events becoming more frequent."
Alternatives: "recognize that possibility" or "accept that possibility."
The Kreipe operation nearly ended in disaster, and it succeeded because Paddy refused to acknowledge that possibility.
Let us acknowledge that possibility for a moment, as a means to justify the guy's absolutely deadly blandness, his unbearable contriteness, his refusal to show even a wisp of lightness or spark or shrugging get-over-it-edness.
But D'Antoni did acknowledge that possibility.
The police, Mr. George told the jury then, refused to acknowledge that possibility because of Mr. McCowen's race.
More recent comments by the military authorities are starting to acknowledge that possibility, and in his latest remarks the prime minister has said the government is not accusing any group.
Mr. Houston-Jones acknowledges that possibility.
Cronin acknowledges that possibility but says the idea is to take action before it catches on.
When asked whether he thought the information about Mormonism might push survey participants toward Mr. Romney, because they did not want to seem prejudiced, Mr. Chingos acknowledged that possibility.
Mr. Bush acknowledged that possibility again today but said he was confident that Mr. Ashcroft would convince his former colleagues in the Senate that his successful effort to derail the appointment of a prominent black judge to the federal bench had not been racially motivated.
Bon himself acknowledges that possibility: "It's not very efficient to raise this point theoretically.
Wang acknowledged that possibility in a 7 September interview with Caijing magazine: "opposing voices naturally have an impact on future approval of the project," he said.
