( EDIT: Oh no, I’m responding to the same post 3 months apart without realizing it! That’s embarrassing. Sorry. )
Thanks for writing this!
It seems you are further than me in exploring math fields. I’d love pointers on what to study and how to study it!
My current math book reading list:
Skillicorn—Understanding High-Dimensional Spaces
Kosniowski—A first course in algebraic topology
Goldblatt—Topoi: The Categorical Analysis of Logic
Hutter—Universal Artificial Intelligence
But of course it’s so much effort to move through this kind of material and doesn’t give me any legible advantage in seeking funding, fellowship, or roles, so it’s hard to justify prioritizing it right now.
Neither field mentions this almost ever, and it’s unclear to me how much insight is being lost due to this.
I wonder about this kind of thing. It motivates me to want to find a formalism that is “one big, all-encompassing generalization that unites these frameworks.” (This is a red flag for being a crackpot, which is concerning, but it’s also a green flag for discovering useful new paradigms, so the whole situation seem a bit fraught.) I feel like if I’m going to continue down this path I should study more sociology to understand how fields develop, branch, and merge.
The thing I’m mainly focused on right now isn’t just systems evolving over time, but more specifically systems that funnel reality towards a subset of possible outcomes. I think “time” is a baked in requirement for such a system, but maybe the thing I care about is more like “influence” or “causality” and “time” seems to imply some specific topology over causality that may not be essential to what I’m interested in.
( EDIT: Oh no, I’m responding to the same post 3 months apart without realizing it! That’s embarrassing. Sorry. )
Thanks for writing this!
It seems you are further than me in exploring math fields. I’d love pointers on what to study and how to study it!
My current math book reading list:
Skillicorn—Understanding High-Dimensional Spaces
Kosniowski—A first course in algebraic topology
Goldblatt—Topoi: The Categorical Analysis of Logic
Hutter—Universal Artificial Intelligence
But of course it’s so much effort to move through this kind of material and doesn’t give me any legible advantage in seeking funding, fellowship, or roles, so it’s hard to justify prioritizing it right now.
I wonder about this kind of thing. It motivates me to want to find a formalism that is “one big, all-encompassing generalization that unites these frameworks.” (This is a red flag for being a crackpot, which is concerning, but it’s also a green flag for discovering useful new paradigms, so the whole situation seem a bit fraught.) I feel like if I’m going to continue down this path I should study more sociology to understand how fields develop, branch, and merge.
The thing I’m mainly focused on right now isn’t just systems evolving over time, but more specifically systems that funnel reality towards a subset of possible outcomes. I think “time” is a baked in requirement for such a system, but maybe the thing I care about is more like “influence” or “causality” and “time” seems to imply some specific topology over causality that may not be essential to what I’m interested in.