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I have seen self learning tag in mathematics Stack Exchange. But this tag is not there in physics Stack Excahnge. I think there are many students who are learning new stuff by there own without help of any institution (like me).

normally it happens that when i ask some question, other users add homework tag. so i think if there is self learning tag, so they know other can know that whether it is homework question or not.

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It doesn't actually matter whether or not the asker was assigned the problem as homework. The homework tag is for homework-like questions. These are questions whose purpose are not about resolving a conceptual difficulty, but instead about getting the right answer to a specific problem. Thus you can assign the homework tag without knowing if the problem actually is homework; homework-likeness is a property of the problem, not the asker.

I don't think people on this site care about whether or not you attend a university and I don't think they care about whether your question stems from a homework assignment or random curiosity. What they do care about is that your question addresses a conceptual issue that can be applied to many situations, so that the answer is useful to a wide audience and writing an answer is a good investment of time. The homework tag is supposed to indicate whether or not this is the case.

So I don't think we need a self-learner tag, because we don't care whether you go to a university or not, and we wouldn't need an "actual-homework" tag, because we don't care whether the problem is actually homework.

Here are some links to recent discussion about the homework tag for reference:

About the proposal to ban homework

What's the current status of the homework policy?

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  • $\begingroup$ "I don't think people on this site care about whether or not you attend a university". But people often assume you have all the prior knowledge you learn at an university by the time you reach that subject you ask about. I sometimes get an answer I simply cannot understand because I'm not ready to understand it... $\endgroup$
    – Calmarius
    Feb 9 '15 at 16:12
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No.

would be a meta-tag, and those are discouraged. In fact, is also a meta-tag, but the site has voted to keep it, and given it a somewhat unusual meaning.

(Note that a couple of those links are the same ones that NowIGetTo... used).

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