It is said that we can ommit 'being' to make gerunds--not the passive ones, though. But is there any case that 'being' is still there in the active ones, like 'Being doing is....' , in order to emphasize its progressive feel or for some other reason?
Hello Taka

I can't think of any examples – the gerund already has a being-in-progress feel.

Even if we take adjectival -ing forms + 'being', the construction sounds quaint:

'Being stinking is assuredly undesirable in a personal assistant.'

'Being fighting men, we are used to a hard existence.'

So my money's on 'no' to 'being + gerund'. But someone out there may prove me wrong.

Palmer gives the following paradigm for the verb "to take"

(no *being taking)
having taken
having been taken
being taken
(no *being being taken)
having been taken
having been being taken (?)

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Thank you, people.

It was just out of curiosity.
Is there an example for 'having been being (taken)' in Palmer, CJ?

I can't quite grasp it.

if there is, then it should also be Ok with modals, like "must be being taken", or " must have been being taken".

Why not?
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As indicated by his question mark, he's not sure anyone ever actually generates that form. No example is given of it.

But I can give you one.

As we shall see later in our sad story, having been being taken daily to the woodshed for a beating because of his grammatical mistakes was to have serious effects upon the student's mastery of English.

Emotion: smile