The idea, prevalent in speculative fiction, that there are grades of intellect of the same kind as our own but so vastly more powerful that we would be completely unable to comprehend their operation, that we would be to them as an insect is to us, say, is refuted by the existence of mathematics. In this case we have the possibility of unlimited depths of complexity, but however far they might go in illuminating them, it must be possible to sight the regions so illumined, to triangulate their position, so to say, from what at the limits we do understand. What can this super-intellect say about the prime numbers? For each such truth, and there may be many, it must also be possible to indicate roughly how it is arrived at, simply because it concerns prime numbers and so lives in the known universe of mathematics. If you seek complete transcendence then you need an entirely different kind of intellect, one about which all analogy fails.