isomorphic: mapping between 2 structures that preserver the structure and can be reversed.
” as organisms become more and more complex through evolution, they need to model reality with increasing accuracy to stay fit. At all times, their representation of reality must be homomorphic with reality itself. Or in other words, the true structure of our world must be preserved when converted into your brain’s representation of it.”
from here https://savsidorov.substack.com/p/tldr-the-interface-theory-of-perception
Homomorphism in Algebra is a structure-preserivng map between 2 algebric structures of the same type (not reversible like isomorphic?)