Solutions in differential topology simply must include one or two definitions which are building blocks to the given solution.
In other words, they don't have to reinvent the wheel of mathematics.
Note to self: I was doing it "right" all along.

In fact, not answering a math question exactly like pedagogy is just using common sense.
It seems like such an easy statement from induction, but so profound from deduction.

The self-math brain leaves me with only a space in my head, even without a tongue.
Ready to reflect only "numbers" back at myself.
It is rather humiliating actually not to have a narrative in my brain besides "math", "math", and again "math".

The idea is to learn math without losing ingenuity, curiosity, questions, and doubt.

The multiplication of complexity in math can only occur if there are simple agreements made of previous complexity.
So it is not so much a "web" but a house of cards.

The difficulty of visualization comes from 3-ness which gives rise, as Lao Tzu said, to everything-ness.

More depth of understanding of math could come from breadth of sources.

Like reading among other things, problem solving starts from a child, so not until every small problem is solved on the way to the big one, will there be a real answer.
That's why some children keep asking "why?"

All the ways of math are so hard to memorize, its study is more about the (not) mere study than the completion of pedagogy.
That is the difference between the genius and the degree.
Study, reflect, wrestle, struggle.
That is the very definition of genius, not an A on every course.
Moreover, although it would seem that one could complete the pedagogy, it is never complete unless the whole is memorized and one is capable of using any part of it at the drop of a hat.
I don't even know if I've met someone like this, although some professors on YouTube seem to exemplify this.

I have to stop thinking about math symbology as a part of a hierarchy, but rather an ad hoc system where everyone must be familiar with everyone else.

Math seems too abstract to put to any practical use.
Yet linear algebra is how the world of computers works, they say.
It must be a love affair with my spacial and numbers brain.
The ***** is imagination
And the ****** is common sense.
I'm awful at creating new ideas.
It is the way all those symbols make me feel stupid.
How am I even supposed to know if I get the problems right without a teacher?
Someone I can go to for help.
I don't mean things like Google search, stackexchange, or freemathhelp.
I mean someone I can rely on to always see me through a problem.
In a way it's as if my math was stuck in history, and I have to come up with all the answers for the last 100 years.
Like, "oh boy", too bad for civilization.
Maybe my one hope right now is that I come up with a new way to find the answer.
See, math requires hope.
Because love gets embittered.
Love gets tested.
Hope but the size of a mustard seed that makes me crack the book.