Sure, it depends on what level your intentionality is involved. But, my experience is my intentionality is quite intimately involved with my intellectual proce

Sure, it depends on what level your intentionality is involved. But, my experience is my intentionality is quite intimately involved with my intellectual processes. I cannot just will 'answer my math problem' and my mind pops out the answer. There is a lot of intentional, mental actions that take place to arrive at an answer.