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"entertain a possibility" is correct and usable in written English
It means to consider or contemplate a potential or hypothetical situation. Example: We should entertain the possibility of postponing the event due to the weather forecast. In this sentence, "entertain a possibility" means to think about the option of postponing the event.
Similar(60)
Unless otherwise specified, \(S\) is the set of possible outcomes of the games, the set of all strategy profiles.[6] Each player is assumed to entertain a number of possibilities, called possible worlds or simply (epistemic) states.
Ayatollah Khomeini had previously refused to entertain such a possibility — for him, defeating Saddam Hussein's Iraq was a religious duty.
Merely to entertain such a possibility, he huffed on television, "reveals a fundamental misunderstanding of human nature".A presidential "doctrine", however, needs to say more than that America will sometimes have to fight, and sometimes alone.
Whereas some city council members are willing to entertain such a possibility, others say they have no interest in that type of transaction.
When she formed an opinion about something, after lots of research, there was no other opinion she would ever entertain was a possibility.
However, while Mezzacappa did compliment Kam for having the courage to come forward with the unusual spiritual diagnosis, the senior attending also noted that not all doctors "would entertain" such a possibility.
But Mr. Peterson also entertains a darker possibility: that "our national leaders are providing the American people with precisely what they want".
A1 Pope's Will Is Released According to the will of Pope John Paul II, as he ushered Christianity into the third millennium he wrestled with thoughts about the end of his papacy, perhaps even entertaining a momentous possibility: his resignation.
Nicholas now entertains a third possibility, an anomalous joining of absolute and contracted in the God-man.
In recent writings, some philosophers have entertained a parallel possibility: that we might also enhance moral capacities through internal, biomedical means (call this 'biomedical moral enhancement').
Certainly, that would make sense of Hollis's "long-standing refusal to entertain any possibility of a penetration of the Service".
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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