Categoricity of Tau
Categoricity of Tau is a foundational math in the FOUND domain.
Mathematics
Core foundational problem
FOUND
Book I
Public
Manuscript
Kernel
In plain language
Categoricity of Tau is a foundational math in the FOUND domain.
Overview
The Categoricity Theorem (II.T42) proves that the seven axioms K0-K6 force a unique model of Category . The moduli space is a single point: there are no free parameters, no alternative models, no hidden choices. Two independent implementations of the kernel will produce the same universe with the same objects in the same positions. This is confirmed by the TauLib formalization.
Result Statement
The model is unique: K0-K6 determine everything. Status: Internally addressed (established, machine-checked).