I'm trying to keep my optimism cautious, but the crazy barely-awake shower-idea from four days ago is totally still holding up, and it's making me rather excited. As in, this document I have before me could actually lead plausibly towards some kind of Proposal for a Thesis Project, which is a thing I hear people want me to do some time. I have a complete and definite type theory set out, without all the usual fuzzy "maybe I'll work out what goes here" things that have plagued my previous N,000,000 attempts, and I believe the substitution lemma is both correctly formulated, and true. I need to check it again tomorrow morning, but it still works fine even after bee-lining my attention towards the cases that usually go wrong.
I don't know how I got so freakin' busy today, but it was a good day anyhow, full of guitar and piano and type theory and category theory and kinetic typography and crazy retro-gaming music videos. Even though he didn't make the aforementioned thing, Heebok Lee is my hero for the day.