While surfing for the negative adverbs, I came across the topic Double Negatives here on this site thefreedictionary.com, which I think is somehow related to the OP's question.
In English, we generally cannot use double negatives, which occur when
two negative elements are used in the same part of a sentence. We must
remember that when we use a negative adverb, we cannot further negate
the sentence with no, not or another negative adverb because the two
negatives cancel each other out, making the sentence affirmative in
meaning. For example:
✖ “You shouldn’t under no circumstances cheat on a test.”
(incorrect)
Literal meaning: There are certain circumstances under which you should cheat.
✔ “You should under no circumstances cheat on a test.” (correct)
Meaning: You should never cheat.
Using double negative for emphasis
While we should generally avoid using double negatives in our speech
and writing, there are certain circumstances in which they can be used
for an emphatic or rhetorical effect to highlight that a negative
element is not the case. The most correct way to use a double negative
in this manner is to pair a negative adverb with a negative adjective,
as in:
“I’m not an ungenerous man, I’m just very conscious of the
rules.”
“She proposed a few solutions, some of which were not
impractical.”
“He described a not unbelievable scenario of deception and
lies.”
This usage is especially common in literary writing. In more
day-to-day writing and speech, it is more common to use two adverbial
nots together to emphasize that a negative action did not happen. For
example:
“Well, I didn’t not tell him the truth; I just didn’t tell him the
whole truth.”
Literal meaning: I didn’t lie, I just left out some information.
“You can’t just not go to school!”
Literal meaning: You must go to school.
However, this is a much less formal construction, so it should only be
used sparingly and not in formal or professional writing at all.
