I like Category Theory (as presented on nLab which I expect is a lot of people’s introduction to Category Theory) in the way that it standardizes very loosely a lot of “sort of compatible” stuff. But it’s “very loosely” and yes, I too have seen it applied in some odd places, likely because its structured language doesn’t take too long to pick up and start to be able to visualize mentally in some fashion (because the diversity of examples on there – something will ‘click’) – I had an obsession with it for a time a few years back until it really clicked in that it’s a recasting of Set Theory and doesn’t add anything really extra but a nice syntactic language around it. As I already knew the limits of set theory, I realize it wasn’t going to expand where I wanted to go but rather to broaden knowledge in a particular area that had limitations I’d wanted to be past.

But it’s “very loosely” and yes, I too have seen it applied in some odd places, likely because its structured language doesn’t take too long to pick up and start to be able to visualize mentally in some fashion (because the diversity of examples on there – something will ‘click’) –

I had an obsession with it for a time a few years back until it really clicked in that it’s a recasting of Set Theory and doesn’t add anything really extra but a nice syntactic language around it.

As I already knew the limits of set theory, I realize it wasn’t going to expand where I wanted to go but rather to broaden knowledge in a particular area that had limitations I’d wanted to be past.