As far as I know, 'being' can usually be omitted.
Then, something comes up to my mind.
ex. (1)Think about your cat being naughty.
(2)Think about your cat naughty.
(3)Think about your cat being scolded.
(4)Think about your cat scolded.
I guess (3) and (4) are both the same in meaning and both grammatically correct.
But, (1) and (2) are different and (2) is incorrect in terms of form.
What difference does make (4) correct, yet (2) incorrect when 'naughty' and 'scolded' both are served as a predicative adjective?
The difference is that "scolded" is a participle whereas "naughty" is not. Having said that, there is no guarantee that this pattern will always be natural with past participles. Indeed, (4) itself seems a bit marginal to me.
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The difference is that "scolded" is a participle whereas "naughty" is not. Having said that, there is no guarantee that this pattern will always be natural with past participles. Indeed, (4) itself seems a bit marginal to me. It is also not the case that the pattern (or similar patterns at least) is always impos