The following is a complete step-by-step construction of a Hilbert space from the Tree of Con-tinua, using only the three primitives (same/different/opposite), cylinder sets, counting, peri-odic orbits, and IPG readings at ∞. No analysis, no limits in the classical sense, no externalassumptions. Every layer is built rigorously from the layers below it.
John Taylor crisptoast@tutanota.com (Sun,) studied this question.