"a cognizance" is a correct and usable phrase in written English.
It is typically used to refer to awareness or knowledge of something, usually through observation. For example, "John had a cognizance of the danger ahead, but chose to ignore it."
Afterward, he said, somewhat cryptically, "He has a demeanor and I have a demeanor, and both of us have a cognizance of what it's all about".
While presaging New Image painting, they reflect a careful attention to Magritte, a preference for lightness of touch and a cognizance of distinctly American-style Surrealist puns, laying important cornerstones for the artist's mature style (Smith).
However, in a later post interview with Danny (time 4), the nonchalance towards gaming "norms" was observed to have shifted into a cognizance for what other players may construe of his game play strategies in solving the quests.
So there is a cognizance that this skill needs to be honed.
Perhaps what it also established was the legitimacy and necessity of nonviolent revolution -- a cognizance of the never-ending need to stand up against social wrong, to keep demanding change, to keep evolving.
It immediately speaks both of a cognizance of contemporary issues of violence against black bodies, the absence of a black father, and a deep connection to the black Christian framework.
And this dip is more pragmatic than ideological, reflecting a growing cognizance of the infeasible fiscal trajectories of these programmes.
Remo looked more like a dweller of the inland fastnesses of Basilicata: one of the dark original people who grow out of the very stones of the Italian peninsula, and have a curious cognizance of the natural world.
The most mundane of domestic activities — sipping tea by the Kiplings' fireplace, conversing on their porch, breaking bread at their dining room table — were infused with a heady cognizance that Ruddy, as he was known, very likely did these things too.
(a) take cognizance of the reports of individual cases.
This usage conveys turning-points in the story, transferring the reader from the "immediate tension" of the present to a growing cognizance.
