"Both learning to speak and write English is/are important." If this is a correct sentence, which verb should one use : "are" because of the word both ?
Yes, but it would be better as: Learning both to speak and to write English are important, or, for those who don't mind splitting their infinitives, Learning to both speak and write English are important
Context is always important; labelling is rarely important.
I'm not entirely sure. Learning is the gerund subject, so it should be singular, and the use of "both" is misplaced.
Learning to speak and write English is important.
Otherwise, it can be rearranged as a plural.
Learning to speak, and learning to write, are both important.'
Just my two cents.
The responses from both konungursvia and Raymott are more satisfactory than my post #2.
Context is always important; labelling is rarely important.
Context is always important; labelling is rarely important.
Context is always important; labelling is rarely important.