Thank you for posting this!

> And, the problem was, mathematics was losing its "connectivity", all these new algebras had little to no connection to each other, and it was very difficult to make progress in a few of these algebras at once.

I went through 6 upper division abstract algebra classes without one professor providing this background. It's quite obvious once I read it, which is what makes it an amazing motivation.

There were some formatting notations that didn't display--mostly superscripts that displayed in-line