There are "Levels" to Understanding Mathematics

The way it was described to me when I was in high school was in terms of 'levels'. Sometimes, in your mathematics career, you find that your slow progress, and careful accumulation of tools and ideas, has suddenly allowed you to do a bunch of new things that you couldn't possibly do before. Even though you were learning things that were useless by themselves, when they've all become second nature, a whole new world of possibility appears. You have "leveled up", if you will. Something clicks,...

 Davy Sees Freedom in Human Fallability

The experience of ‘paralytic strokes’ (like his father’s), which destroyed ‘perception and Memory’ as well as physical motion, proved that the physical brain was the single centre of ‘all the Mental faculties’. Children were not magically endowed with intelligence and souls at birth. On the contrary: ‘A Child is not superior in Intellectual power to a common earthworm. It can scarcely move at will. It has not even that active instinctive capacity for Self-Preservation.’ Such...