It is acceptable, but you should use it with care.
Generally, you should avoid having long texts in parentheses, as the reader will eventually forget that he is inside a parentheses block.
In serious papers and letters, you should avoid it completely, and rather find a way of re-phrase it.
In conversational e-mails, blog posts, StackExchange posts etc.
it might be more natural to use it, but the inner parenthesis should never be long (just a couple of words).
The most important is to make sure that the reader don't get confused of where the parenthesis start and end.
Example
With nested parentheses This is a quick example on how to rephrase a potential problematic use of nestedparenthesis.(It can be a less important section like this (which is quite long, even if it is not important), and when you continue, the reader might be lost in where in the parenthesized text he is, and might wonder if he still is inside any parentheses.)Anyway, the main text continues here.
Re-phrased to remove nesting This is a quick example on how to rephrase a potential problematic use of nested parenthesis.
(It can be a less important section like this.
It is quite long, even if it is not important.
Now when you continue, the reader is not lost anymore because the long section is taken out in a separate paragraph, and no inner parentheses can be mistaken for an early termination of the outer section.)
Anyway, the main text continues here.
english.stackexchange.com/users/1717/awe
I believe it's acceptable , but vaguely considered poor form , and I tend to avoid it (often by restructuring a sentence and busting out some emdashes) unless I'm intentionally using it to be cute.
english.stackexchange.com/users/4526/chaos
Well I do it, but
then I spend a lot of time as a mathematician.
If it gets confusing I think using alternative bracket glyphs assists ([{<« »>}]) .
[
Though using the guillemets (« ») as brackets can get you in to trouble, as a lot of languages use them as speech marks.
(Wikipedia) ]
english.stackexchange.com/users/2253/Orbling
My English Composition professor told us that if you ever feel you need to use nested parentheses, that is one sure sign you need to rewrite the sentence instead.
Here's what one technical editor has to say on the topic: Nesting parentheses should be done with square brackets "([ ])".
But since square brackets are usually used for citations, this is confusing.
The answer is to eliminate all nested parentheses by appropriate rewording.
(Dashes, otherwise not recommended, can have a use here.)
english.stackexchange.com/users/2303/Robusto
I have found that people who appreciate stressing thoroughly the logical construction of their sentences to make them totally unambiguous tend to use parentheses a lot, and to nest them, even though (see other answers)
it's considered poor form.
In particular, scientists (especially mathematicians and logicians) seem to do that more commonly than other people.
english.stackexchange.com/users/3479/F'x
In looking at this question, I was immediately reminded of the work of William Faulkner, an undoubtedly well-known author in the United States.
He is notorious for his complex sentences that can go on for pages.
In some of them, he unapologetically uses nested parentheses.
While Faulkner sets a precedent doing this, it is not at all proof of the 'correct' usage.
His motivation is quite different.
I like the way Louis Rubin puts it in his essay
The Dixie Special: William Faulkner and the Southern Literary Renascence : His very style itself, with the long sentences, the liberal deployment of adjectives, the parentheses, and the parentheses within parentheses, proceeds from the conviction that reality can be represented only when presented in its full complexity, leaving out nothing that is important.
His admiration for Thomas Wolfe, he said on several occasions, was for that novelist's attempt, however impossible of fulfillment, to put all experience on the head of a pin.
I bring Faulkner's example up for the sake of introducing a different angle on the OP's question.
It may not be the best choice stylistically to nest parentheses, but there have been literary precedents that show the practice.
The example of Faulkner's usage of the nested parentheses shows that there is a purpose in his writing to convey a sense of complexity and to leave nothing out .
english.stackexchange.com/users/7436/gbutters
Parentheses are a way to stuff more ideas into a sentence than it could otherwise bear.
They make life easier for the writer who is trying to capture all his ideas as they bubble up, but harder for the reader trying to make sense of it all.
If you nest your parentheses, you risk losing your reader entirely.
So I'd say, in your first draft, go ahead and use as many parentheses as you want, but in later drafts you should try to eliminate them — especially the nested ones.
english.stackexchange.com/users/16205/Pitarou
Is it acceptable to nest parentheses (for example, if I (meaning myself) write like this)?
Is it acceptable to nest parentheses?
english.stackexchange.com
<grammaticality><punctuation><parentheses>
english.stackexchange.com/questions/11155
english.stackexchange.com/users/4528/Brad Cupit
In general, nesting parenthesis is acceptable, but should be used with care and avoided completely in serious papers and letters. In fact, many people would consider it poor form and a sign that you probably need to rewrite the sentence instead. However, if you are going to nest parenthesis, technical editors might suggest using square brackets. It is acceptable to use nested parentheses, but they should be used cautiously and to avoid having long texts within parentheses. They should be avoided in formal or academic papers.You must ensure that the reader does not get confused so in the end, it may be better to rephrase the sentence. Technically, they should be included in square brackets, but because these are also used for citations, they can be confusing. Dashes could be used as an alternative, but are not recommended. Some consider nested parentheses as a useful technique to include additional content in the sentence. Although, it might help the writer, they still risk confusing the reader. It is recommended having them in the first draft, but eliminating them later.
In general, nesting parenthesis is acceptable, but should be used with care and avoided completely in serious papers and letters. In fact, many people would consider it poor form and a sign that you probably need to rewrite the sentence instead. However, if you are going to nest parenthesis, technical editors might suggest using square brackets. It is technically acceptable, and can be a way for writers to fit more ideas into a sentence. However, it can be confusing for a reader. In general, parentheses (particularly double parentheses) should be avoided and kept shorter if possible.
It is acceptable to nest parentheses, but you should use it with care as you can risk confusing the reader. It can be considered as poor form and should be avoided or re-phased in serious papers and letters. Nesting parentheses is considered acceptable but unadvisable as it could confuse the reader.
Acceptable but use with care and avoid having long texts in parentheses Sentence needs re-writing How to do them technically  Other punctuations that can be used. It's not acceptable It's a useful technique How to format them. It's not considered acceptable. Useful technique
It is technically acceptable, and can be a way for writers to fit more ideas into a sentence. However, it can be confusing for a reader. In general, parentheses (particularly double parentheses) should be avoided and kept shorter if possible.
Nesting parentheses is considered acceptable but something to be avoided. Nesting parentheses could be confusing for the reader.