0 in a way that relates to your ability to think and understand things, especially complicated ideas :
1 in a way that involves thinking and understanding at a high level:
It's fun and it's intellectually stimulating (= encourages you to think at a high level).
2 in a way that relates to your ability to think and understand things, especially complicated ideas:
intellectually challenging/stimulating/interesting The work is well-paid and intellectually stimulating.
The company recruits some of the most intellectually gifted graduates from the university.
People who do not engage in intellectually challenging activities are three times more likely to get Alzheimer's.
My work at the company has been so intellectually stimulating.
Under such conditions education would be impossible, and all orderly development intellectually or morally would be hopeless.
Singers of the fifteenth century faced parallel problems, particularly in the performance of the most intellectually complex music of the day.
Multiple regression and analysis of intellectually preserved patients suggested particular associations of formal thought disorder with semantic comprehension and picture description.
This problem is intellectually enormously interesting, since solving it would provide ways of modulating the activities of proteins in vivo.
As an act of will, choice is intellectually motivated, and some motives are subordinated to others.