I honestly don’t even know how to even describe such a topic, but will try my best. Now as I best understand it, intellectual knowing is just understanding reality through facts, figures, statistics, words and numbers. I find that our most developed intellectual processing is empirical, in that we have the most concrete understanding of physical objects observed through sensual experience.
Now I can agree that there is reality that the human intellect cannot understand, such as Eternity, infinity, paradox, wholeness, or aseity. Yet the confusion is over whether this inability to know is due to the finite nature of the human consciousness, or if reality is ultimately other than intellectual content. The first implication is that humanity is just ignorant. The second implication is that man has other faculties to understand transcendent matters other than the intellect.