Wow, understanding the concepts of half a differential equations course online completely integrated five years of physics concepts along with all my self-study of calculus and manifolds. Yet still I march on.
that I have to do math problems to understand it, doesn't realize that doing unsolvable problems still leaves me confused. And I'm back to where I was before I did the problems (okay not really), but there is nothing wrong with note taking, watching, listening, and reading math without problems. THere is nothing wrong with reading, writing, listening, and watching math without problems.
"There's a point where you know just enough to be dangerous, but not enough to fully understand."
The self-learner and the student both realize that "I" have learned nothing over and over again. Information is just a tool for recognizing qualities, and will forever be preserved in its innocence/stupidity.
If I can't make something into logical sense via concepts, then I make it spacially sensical by knowing certain aspects of a class have repeated. E.g. in my brain I label a verse with tabs pertaining to a previous line of thought. E.g. like playing target practice.
Every day in math I face the halting problem: whether I can finish a proof, or whether I will go on trying to prove forever. At any given point all problems become an undecidable problem. Time for a break.