#homomorphisms

Remember it's homomorphisms and not heteromorphisms. Happy last day of pride month :)

single thread math episode 15: since derivatives are a homomorphism from the set of differentiable functions to the set of functions, we can scrap the entire field of analysis. examining homomorphic algebraic structures may cause us to hemorrhage a small amount of analytic information, but the elegance in simplicity more than makes up for it. there is enough to study in the structure of various morphisms to keep us busy for eternity, and it is objectively true that meta-mathematical insight is more significant than the absurd specificity with which analysts devote themselves to their puny work.