Human perception, as well as the “perception” of so-called intelligent machines, is based on the ability to recognize the same structure in different guises. It is the faculty for discerning, in different objects, the same relationships between their parts.A Book of Abstract Algebra
The dictionary tells us that two things are “isomorphic” if they have the same structure. The notion of isomorphism of having the same structure is central to every branch of mathematics and permeates all of abstract reasoning. It is an expression of the simple fact that objects may be different in substance but identical in form.