The phrase "a kind of possibility" is correct and usable in written English.
It can be used when discussing various potential outcomes or scenarios in a situation.
Example: "In this experiment, we are exploring a kind of possibility that could lead to new discoveries in the field of medicine."
Alternatives: "a type of potential" or "a form of opportunity".
MONTCLAIR, N.J. — The first striking thing about "Open City," Vijay Iyer's large-ensemble suite heard twice over the weekend at Alexander Kasser Theater at Montclair State University here, wasn't sound but a kind of theory of possibility suggested by the sight of the 20 people onstage.
Thus the possibility that is expressed here is a kind of epistemic possibility (in particular, one according to which p is epistemically possible for an agent X just in case not-p is not known by X).
Epstein, who had been taught by the photographer Garry Winogrand, set Nair an example of uncompromising artistic commitment to "the way in which image holds a kind of symbolic possibility".
In both McDermott-Doyle's Nonmonotonic Logic I and Moore's Autoepistemic logic (McDermott and Doyle, 1982; Moore, 1985; Konolige 1994), a modal operator M (representing a kind of epistemic possibility) is used.
On a bewitching new song, "Desired Constellation," she repeatedly lets out a high, falling cry of "How am I going to make it right?" Her lyrics, which are sometimes composed with the help of the poet Sjón, are a kind of poetry of possibility.
The marvel at their marriage was based in part on their mutual admiration, which had not been effaced by the passing of decades, but, particularly among African-Americans, their union was also seen as a kind of emblem of possibility against great odds.
If we go on to ask what grounds philosophers have had for deeming a given kind of possibility relevant or even decisive, a prevalent answer is that such decisions should be constrained by our interest in aesthetic or artistic appreciation.
And it's not just the music: the monochrome of the post-punk era now appears to have fragmented into a kind of kaleidoscope of possibilities, to which the multiple personalities within us have responded.
Daniëls' pictorial language games – a tree might also be a view of roads, a map of his familiar cycle routes or divergent paths through a city – are a kind of chart of possibilities.
Of course, broad contents also produce a kind of partitioning of possibilities.
