ChatGPT has started using random icons as bullets, which is fun. Here we are riffing on the duality between rights and responsibilities
🧩 Example: Law as a Natural Transformation
Imagine a 2-functor from:
Category of individual acts and desires (personal logic, rights)
To category of socially accepted actions (legal logic, responsibilities)
Then a natural transformation encodes:
How a society translates individual reasoning into enforceable action.
How law binds or restricts certain inferences while preserving structure (naturality condition).
For example: [ugh a commutative diagram that does not copy / paste but you'll get it]
The diagram commutes if η is natural — that is, doing something and then applying law is the same as applying law first and doing the translated thing.
This models ethics, cultural norms, or constitutional constraints as natural transformations that preserve reasoning across systems.