I can. I used to do my math homework in LaTeX. I'm not saying I did it on paper and the final stuff was written up, I mean I was thinking in LaTeX. The PDF viewer was "check what I just did mode" and the text editor was "get thoughts down" mode.

It was proof heavy so there was a lot of English anyway. Add copy/paste for derivations with a lot of shared structure and it really pulls ahead. If you define your own macros and are good enough at programming them on the fly it's a neat though dumb Lispy symbolic math tool.

Same here, I picked up LaTeX to take notes in my computer graphics class because I didn't feel like writing it (my written equations were always pretty cramped, and my handwriting is garbage) and because it was a pain to represent equations in LibreOffice (what I'd been taking notes in before).

Exactly, it's why I still reach for a pen and pad if I know I'll have to take notes on something remotely more complex than just text. The worst feeling is to be busily typing notes only to realize you could clarify something by drawing a couple arrows or circling something.

Also, no digital task list has ever been able to replicate the satisfaction for me of writing out a to-do list with checkboxes and checking them off as I complete each task.

I can, if I want to make sure I (or anyone) can read it back.