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My book says:

I heard her play the piano. (sensory perception)

I heard that he has been ill. (mental perception)

I noticed them come in. (sensory perception)

I didn't notice him leaving. (sensory perception)


If so, could I say


I noticed that the door was open. (mental perception ?)


I noticed the door be open. (sensory perception ?)

I noticed the door being open. (sensory perception ?)

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I don't know what your book is trying to tell you, but hearing and noticing are sensory perceptions. Is there even anything that's "mental perception"? What do they mean by that? Remembering? Understanding? Knowing?

Hearing is through your ears. Noticing is through your eyes.

If you heard that someone was ill, you heard words. Somebody told you that that person was ill. That's sensory perception.

anonymous

could I say

I noticed that the door was open. OK. You saw it.

I noticed the door be open. Not grammatical.
I noticed the door being open. Not grammatical, but you could have I noticed the door being opened.

As explained above.

CJ