Verify Verification Surface Canonical metaphysics Verification for the τ-framework's metaphysics layer (Book VII): categorical-only architecture — Reg_E/P/D/C registers + OR1–OR6 narrowing principles. No empirical anchor; coherence + commitment-discipline are the verification modes.
Verification SurfaceCanonical

Metaphysics Verification

Verification for the τ-framework's metaphysics layer (Book VII): categorical-only architecture — Reg_E/P/D/C registers + OR1–OR6 narrowing principles. No empirical anchor; coherence + commitment-discipline are the verification modes.

Public Lean · 9 modules · 337/337 formalized Mode · Formal + Empirical Bridge · Strong (100%)
In plain language

Unlike physics or life, the metaphysics layer has no single empirical anchor. It is purely categorical: concepts instantiate as lived-experience correlates, narrative examples, and ethical/proof-theoretic content rather than as numerical measurements. Verification here is the discipline of (1) keeping the four canonical readout registers (Reg_E/P/D/C → Obs/Norm/Proof/Stance) working coherently, (2) enforcing the OR1–OR6 narrowing principles (no internal contradictions, completeness, generativity, independence, continuity, stability), and (3) being honest about what diagrammatic access can and cannot establish. The framework's central limit-theorem here — No Forced Stance (VII.T47) — proves τ cannot force a stance on the ω-germ question, marking the categorical floor below which the framework explicitly does not commit.

At a glance

Book

VII

Categorical architecture — registers, ontic requirements, commitments.

TauLib modules

9

4517 lines of Lean 4 across metaphysics-domain modules.

Lean coverage

337 / 337

Formalized declarations · 100% formal · 0 sorries.

Glossary entries

68

Each carries a phenomenological correlate (lived-experience instantiation; no empirical anchor).

Per-book Lean coverage

| Book | Modules | Lines | |------|--------:|------:| | Book VII | 9 | 4517 |

Inspection routes

Verification burden

Metaphysical verification is not laboratory proof and not Lean proof. It checks whether the program’s ontic commitments are:

  • Explicit — every commitment is named, not smuggled in
  • Coherent with the construction — no contradictions among the four registers (Reg_E/P/D/C) or the six narrowing principles (OR1–OR6)
  • Disciplined by the no-externalities rule — claims do not reach beyond τ-categorical structure
  • Honest about diagrammatic access — what the kernel can show is not the same as what is

The Six Ontic Requirements (VII.D37) are the explicit narrowing rules: self-coherence, completeness, generativity, independence, continuity, stability. The No Forced Stance theorem (VII.T47) is the framework’s structural floor — τ cannot force a stance on the ω-germ question, and any such stance belongs to the commitment register (Reg_C), not to proof.

A metaphysical page may argue for coherence, closure, or explanatory discipline. It must not imply direct noumenal access, final ontology, or external acceptance unless those stronger statuses are separately earned.

Key glossary terms

Cross-domain bridges

This verification surface intersects glossary terms that bridge to other domains. The τ-framework's cross-domain pivots are the structural junctions where verification claims meet the empirical, life, and metaphysical readouts.

See also

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