Book VII · Chapter 32

Chapter 32: Non-Dualistic Platonism and ω-Uniqueness

Page 127 in the printed volume

The capstone chapter of Part II resolves the Platonism-nominalism debate by showing that it presupposes substance ontology. In τ, there is a single ontology with epistemic stratification—not two worlds (physical and mathematical) but one relational structure accessed through different readout functors. Platonic forms become normal-form addresses: each ontic form has a unique NF position in the kernel, and what looks like a “realm of forms” is the address space of τ itself. The chapter closes with the ω-uniqueness principle and theorem: there can be only one terminal coherence point, and local infinities cannot compete with it.