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The phrase "intellectually arousing" is correct and usable in written English
It can be used to describe something that stimulates or excites intellectual curiosity or thought. Example: "The lecture on quantum physics was intellectually arousing, prompting many questions from the audience."
Exact(2)
The hot-blooded tumble of energy and concepts wrestling for primacy was viscerally and intellectually arousing; everybody had something to take home.
Her fervid, intellectually arousing crush on Dick spurs her to think of every aspect of her life until that point in a different light; she writes to him about her revelations, using him mostly as a receptacle for her ideas.
Similar(58)
It's really arousing.
He finds it arousing.
"It's inherently arousing".
I found her sulks arousing.
That's pretty arousing".
Avoid arousing his jealousy.
Became a little aroused.
This aroused Sergeant Johnson.
Obamacare arouses strong emotions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com