3 ms·
Category theory?
by quickthrower2 4y ago
Category theory?
- adamnemecek 4y agoConstructivism. Linear logic, geometry of interaction, transcendental syntax.
- galaxyLogic 4y agoI love Category theory, even though I know very little about it. But I've read the basic idea is there are "objects" and (directed) relations between them. The basic idea is you can use it with anything defining your own "nouns" which relate to each other via the "arrows". It is like Humpty Dumpty words only mean what you define them to mean. BUT to define them you must define how they relate to other words. What matters is the structure of relations/arrows between the concepts. Instead of leaving definitions in rather vague natural language everything becomes "concrete" when you can draw it as a graph of vertices and arcs. The best experience I had learning math was a linear algebra course during which I programmed most of the formulas that were taught into my programmable pocket calculator. I learned the things well and got straight A's on every test even though that usually didn't happen with me with other courses. So my suggestion for aspiring math students would be: Create programs that do the calculations.