"a vagueness" is a correct and usable phrase in written English.
You can use it to describe a feeling of uncertainty or confusion about something. For example, "I could sense a vagueness in his response that made me wonder what he was really thinking."
So, support functions in collections representing vague prior plausibilities for an individual agent (i.e., a vagueness set) and representing the diverse range of priors for a community of agents (i.e., a diversity set) will very likely come to agree on the near 0 posterior probability of empirically distinct false rivals of a true hypothesis.
But I noticed a vagueness with regard to scientific issues.
His memoir has a distant quality, a vagueness and rigidity that perhaps came with age.
Even in this politician's afterlife, his religious beliefs had a vagueness about them.
There is plenty of local detail in these pages, brand names of foods and medications, but a vagueness about time.
But there was a vagueness to some of this that could become unsettling if we thought about it.
While, as Jerry Brown said, a little vagueness goes a long way in this business, Bush's supposed big speech was too thin.
He liked the end of the day, when a magical vagueness came over a great city that was not yet a blaze of artificial light.
"There was a narrative vagueness and the sense of a purposeful incompletion in a lot of the stories," said Deborah Treisman, The New Yorker's fiction editor.
The band's lead singer, Brendan Bayliss, projects an earnest vagueness, and a fondness for aphorism.
And, yes, there's both a psychological simplicity and a psychological vagueness to the action, suggesting both that grief is mind-bending and that people are weird.
