Should we use use the present continuous form "would you mind if" to ask a polite question?
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1The present continuous form of would you mind if would be would you be minding if. If that is what you meant, you can't. – Barrie England Dec 19 '12 at 8:30
No, you should not. It is ungrammatical to say:
*Would you mind if I am sleeping here?
The sequence of tenses needs to be more like either this:
Would you mind if I slept here?
or even
Would you mind if I sleep here?
Although some might take exception with one or the other of that pair, both are heard in the wild.
Your sentence as such is grammatically incorrect. You could have used
Would you mind if I sleep here?
if you are inclined to using a present continuous form.
Though you are correct in using "would you mind" here, I'd suggest you use, "Do you mind" for questions with similar structure.
