User blog comment:Edwin Shade/My Hierarchy Of Mathematical Understanding/@comment-32213734-20180111204545/@comment-32876686-20180112222622

True, though I only mentioned What the Tortoise Said to Achilles as a lesson that we need not complicate that which is very simple. Though as you've brought up that mathematics is about demonstrating what can or can be proven, I'd like to say perhaps consciousness falls outside the domain of mathematics, and therefore while intuition can fail in mathematics it may be the way to go when discussing issues like "understanding" and "consciousness".