We have built almost everything from three primitives: same, different, opposite.Groups, fields, vector spaces, Hilbert spaces are all in place. But the true power ofalgebra comes from how these structures interact. Group actions are the glue thatbinds them together, giving us representation theory, module theory, and the entiremachinery of linear algebra. We show that all of this structure is already present inthe Tree of Continua and arises necessarily from the three primitives.
John Taylor crisptoast@tutanota.com (2026) studied this question.