Unfortunately there isn't a single publication that does justice to what I've pieced together. By that I mean, because I had such a poor understanding of math, every little bit of knowledge and intuition that most people learn implicitly, I had to learn explicitly. The downside is that it took me all this time to realize how useful math is, but the upside is that I now have created several explanations (both in text and video format) where I explain all of these intuitions in a piecemeal way, slowly building up a model of the world, but without any math notation and without ever talking about numbers, just objects in general and relationships between them. You can go from scratch (things you see around you) all the way to category theory without realizing you got there, all without notation, just building intuitions. That's what I do in the videos, I use the idea of a caveman looking around and starting to discover these relationships, and building on top of them.

I must have more than 15 hours of material that I recorded as I was piecing together what I was (and am) learning. I should put them online - I haven't done it yet because I think it drags on for too long, but maybe I should put up one or two and judge from the comments and go from there.

Mostly I gathered these ideas by first finding out that Set Theory is at the beginning of math. Then I found out how categories and types and sets are all equivalent. Then I read some papers that explained that and for that they needed to step back and give some intuition of each and how they relate to each other. I explored so many links, but the knowledge is scattered.

I will publish some of the stuff I made, now that I know there's interest, when I'm back home on Monday. If you want to know about it, send me an email (it's in my profile page) and I'll let you know.