This is the fifth supplementary material of the CDUFD qualitative framework. We systematically analyse the logical choice of axioms, the structure and classification of the solution space S₀₁-₀₄, the survivor anchoring mechanism (A5), and the relation between the richness of the solution space and predictive power. We argue that axioms A1–A5 form a layer‑by‑layer convergence from “absolute no constraint” to a survivor. The solution space is classified according to continuum limit, dimension, signature, universality class, critical spectrum distribution, topological defects, gauge group, dynamical exponent, etc. Empirical anchoring (A5) selects, from the huge solution space, the construction that matches our observed universe, thereby endowing the framework with predictive power. The paper compares the CDUFD approach to the string landscape and discusses its relation to Gödel incompleteness. Open problems are explicitly listed.
Pengtai Huang (Fri,) studied this question.