> I almost hate numbers and symbols without (the explanatory) words/paragraphs.
The numbers and symbols only make sense in the context of some specific language game. If you work in a domain a lot, then repeated sequences of symbols and conventional naming of variables hints what language game you're playing. Without that, everyone needs the explanatory words/paragraphs.
> Isn't it easier for everyone to remember/visualize concepts and then deriving the formula than trying to remember the exact formula?
Yes. There's an interesting notion of a "recovery procedure" in Borovik's "Mathematics Under the Microscope" where he points out that mathematicians don't remember formulas and theorems, they remember simple procedures that recover them.
The numbers and symbols only make sense in the context of some specific language game. If you work in a domain a lot, then repeated sequences of symbols and conventional naming of variables hints what language game you're playing. Without that, everyone needs the explanatory words/paragraphs.
> Isn't it easier for everyone to remember/visualize concepts and then deriving the formula than trying to remember the exact formula?
Yes. There's an interesting notion of a "recovery procedure" in Borovik's "Mathematics Under the Microscope" where he points out that mathematicians don't remember formulas and theorems, they remember simple procedures that recover them.