True, in traditional corporate structures. I'm interested in how accountability flows in cooperative structures like Mondragon. (Accountability still flows down through those at the top, as far as I can tell, but there is an aspect of bottom up accountability too.)
You could make an analogous course titled "Mathematics for [subfield of mathematics]" for any subfield of math. It would be a good(ish) title (I have never titled a course), and the content would be nicely focused.
The mathematician in question doesn't believe in infinity as an axiom, so he has a different understanding of what finding irrational roots means than others. From what I've gleaned from the other comments, it sounds like he does use an iterative algorithm to produce a power series solution.
Geometry only benefits from visual reasoning in 3d and lower, and there are a lot of dimensions above that!
You can see visual reasoning as a little cheat computation, you can run math problems through your sense-determining brain, which is what brains are really good at (robots struggle with our levels of dexterity). But the fact remains that you can only visualize in low dimensions, and there are infinitely many dimensions.
Note: You can reduce many problems to 3d, but also many problems in 3d have configuration spaces with much higher dimension, so there's some nuance.
I wonder if the number of people who could recite works from memory has substantially changed: while surely the prevalence of such people decreased, world population ballooned! Today we have people that can recite many digits of pi, for example.
