25 karma · joined April 25, 2019
Perhaps the greatest irony of FP
BTW academic CT researchers are brilliant but usually aren't programmers
But the hate is warranted. Any new tech needs to be able to stand up to criticism
If you don't get that, maybe you missed something in your training
And yes it has everything to do with AI (not categories per se but the article)
Bombastic articles get attention but yes I need to tone it down. I don't think anyone cares about the FP cat fights anymore anyway
You bring up an important preface that I forgot to add - thank you. Yes it does seem like I am jumping around and categories have a nasty pedagogical reputation because of how the brain is wired. Categories are a convergent tech but the human brain wants to compartmentalize, so this paper is literally pushing the opposite way we normally process information
The west needs a more compelling argument why it should continue to exist beyond just money
- Adjoints are all about joining things hence the name; much like chasing dependencies (arrows) between cells in a spreadsheet and then going back to the relational database where the sheet was extracted from. You have seamlessly jumped from algebraic morphisms to geometry without even thinking about it
- Homotopy is about finding "paths" between things and therefore imply some relative naming (coordinate) scheme is possible. The segments of a path arise due to torsors. Hence homotopy is associated with paths. UNIX paths and URLs come to mind
JSON and SQL are closer to preimages of data and computation manifolds respectively that are projected (or fibrated) via Kan