MindAndEthics.lean

import TauLib.BookVII.Meta.Registers
import TauLib.BookVII.Ethics.CIProof
import TauLib.BookVII.Logos.Sector
import TauLib.BookVII.Final.Boundary
import TauLib.BookVII.Social.Ontology

open Tau.BookVII.Meta.Registers

/-!
# Tour: Mind and Ethics

**Audience**: Philosophers, theologians, ethicists, consciousness researchers
**Time**: 15 minutes
**Prerequisites**: Tour/Foundations.lean (for the kernel concepts)

Book VII is where Category τ crosses a boundary no formal system
has crossed before: from mathematical proof into the territory of
consciousness, ethics, and commitment. This tour walks through the
key results — and the three places where formalization intentionally stops.

The enrichment ladder: E₀ (mathematics) → E₁ (physics) → E₂ (life) → E₃ (metaphysics).
Book VII is E₃ — the terminal enrichment layer.
-/

-- ============================================================
-- 1. THE FOUR REGISTERS
-- ============================================================

/-
At the E₃ level, reality decomposes into four orthogonal registers:

  Reg_E — Empirical (observation, measurement)
  Reg_P — Practical (agency, action, ethics)
  Reg_D — Diagrammatic (formal proof, mathematics)
  Reg_C — Commitment (existential stance, faith)

These are not metaphors. They are formally defined structures
with proved orthogonality and completeness.
-/

#check @EmpiricalRegister
#check @PracticalRegister
#check @DiagrammaticRegister
#check @CommitmentRegister

-- Orthogonality: registers do not interfere
#check @register_orthogonality

-- Completeness: four registers cover all of E₃
#check @register_completeness

-- The 4+1 sector decomposition: 4 pure sectors + 1 Logos sector (D∩C)
#check @SectorDecomposition
#check @sector_decomposition


-- ============================================================
-- 2. THE CATEGORICAL IMPERATIVE AS FIXED POINT
-- ============================================================

/-
Kant's Categorical Imperative — "act only according to that maxim
by which you can at the same time will that it should become a
universal law" — is formalized as the minimal j-closed fixed point
of the practical register's operator graph.

This is not a restatement of Kant in symbols. It is a PROOF that
universal ethics exists, is unique, and is forced by the categorical
structure of τ.
-/

-- Dignity: the invariant core that commutes with all automorphisms
#check @Tau.BookVII.Ethics.CIProof.DignityStructure
#check @Tau.BookVII.Ethics.CIProof.dignity_universality
  -- VII.T30: All agents carry dignity (label-independence)

-- CI as naturality constraint on ethical operators
#check @Tau.BookVII.Ethics.CIProof.CINaturality
#check @Tau.BookVII.Ethics.CIProof.ci_sheaf_equivalence
  -- VII.T31: CI = sheaf condition (boundary-to-interior coherence in ethics)

-- The crown theorem: CI is the unique minimal j-closed fixed point
#check @Tau.BookVII.Ethics.CIProof.ci_j_closed_fixed_point
  -- VII.T35: Universality derived from geometry, not decree
  -- Scope: VII.T35 is `τ-effective`; the universality claim is categorical, not moral-realist

-- No moral conflicts at the CI level
#check @Tau.BookVII.Ethics.CIProof.no_conflict

-- But moral dilemmas exist as monodromy (topological loops)
#check @Tau.BookVII.Ethics.CIProof.monodromy_tragedy


-- ============================================================
-- 3. CONSCIOUSNESS AS GLOBAL SECTION
-- ============================================================

/-
The mind is modeled as an internal topos — a self-referential
category of mental states with its own internal logic. Consciousness
emerges as the GLOBAL SECTIONS of this topos: the coherent patterns
that glue across all local perspectives.

This is not a metaphor. It is a precise mathematical structure
with proved properties.
-/

-- Mind as internal topos (VII.D82)
#check @Tau.BookVII.Logos.Sector.MindAsInternalTopos
#check @Tau.BookVII.Logos.Sector.mind_topos_structure
  -- VII.T39: Mind topos has earned structure

-- Consciousness as global sections Γ (VII.T41)
#check @Tau.BookVII.Logos.Sector.consciousness_as_global_section
  -- Individual awareness = where internal logic glues globally

-- The binding problem: solved by categorical gluing (VII.L14)
#check @Tau.BookVII.Logos.Sector.binding_as_gluing

-- Self-recognition: E₃ operator acting on its own state (VII.T42)
#check @Tau.BookVII.Logos.Sector.self_recognition_e3


-- ============================================================
-- 4. FREE WILL AS BRANCHING
-- ============================================================

/-
Free will is not "proved" or "disproved." The τ-framework shows
that the traditional free will vs. determinism debate is a CATEGORY
ERROR — it confuses registers.

Free will = the undetermined branching structure of the practical
register at decision points. It is real (Reg_P branching exists)
and compatible with physical determinism (Reg_E causation), because
these are orthogonal registers.
-/

-- Free will as genuine branching in Reg_P (VII.T43)
#check @Tau.BookVII.Logos.Sector.free_will_as_branching

-- The compatibilism dissolution (VII.P26)
-- The question was ill-posed. What matters is practical agency.
#check @Tau.BookVII.Logos.Sector.compatibilism_dissolution

-- Personal identity as address persistence (VII.P27)
#check @Tau.BookVII.Logos.Sector.identity_as_address_persistence_mind

-- Emotions as register crossings (VII.T44)
#check @Tau.BookVII.Logos.Sector.emotions_as_register_crossings


-- ============================================================
-- 5. THE LOGOS SECTOR — WHERE PROOF MEETS COMMITMENT
-- ============================================================

/-
The Logos sector S_L = Reg_D ∩ Reg_C is the unique locus where
diagrammatic proof and existential commitment coincide. This is
where mathematics touches meaning — where formal truth becomes
personally significant.

The Logos is the crown jewel of Book VII and the structural
explanation of why the series has seven books: four enrichment
layers (E₀–E₃), and the Logos is the terminal sector of E₃.
-/

#check @Tau.BookVII.Logos.Sector.LogosSectorExtended
#check @Tau.BookVII.Logos.Sector.logos_characterization
  -- VII.T45: Logos uniquely characterized

#check @Tau.BookVII.Logos.Sector.logos_rigidity
  -- VII.L16: Register identity preserved in Logos


-- ============================================================
-- 6. THE THREE METHODOLOGICAL COMMITMENT-BOUNDARIES
-- ============================================================

/-
TauLib has zero sorry across all seven books.

In Book VII, three `Commitment` values record structural commitments
the framework explicitly declines to close via proof. Each carries
`.statement`, `.warrant`, and `.registry_id` as inspectable string data.
The framework does not prove commitment — it proves that commitment is
unprovable, and encodes that structural fact in a form a reader can
inspect, judge, and disagree with.

**Historical note:** TauLib v2 encoded these boundaries as
`theorem X : True := sorry`. Pre-publication peer review identified
this as performative (True is provable by `trivial`; the sorry added
drama but not content). `peer-review-fixes-v1` (2026-04-19, commit
a2d3384) retired that encoding and replaced it with `def X : Commitment`
values. The commit history preserves the transition; the philosophical
content — that the boundary is real — is unchanged.
-/

-- Commitment 1: No Forced Stance (VII.T47)
-- "No valid τ-derivation forces a Reg_C commitment."
-- : Commitment   (.statement = "No forced stance"; .warrant = methodological; .registry_id = "VII.T47")
#check @Tau.BookVII.Final.Boundary.no_forced_stance
  -- Inspect the commitment live:
  --   #eval no_forced_stance.statement    -- the claim in full
  --   #eval no_forced_stance.warrant      -- the methodological warrant
  --   #print axioms no_forced_stance      -- reports no axioms

-- Commitment 2: Omega-Point (VII.T46)
-- ω-content is non-diagrammatic by design; Reg_D cannot reach it.
-- : Commitment   (.registry_id = "VII.T46")
#check @Tau.BookVII.Logos.Sector.omega_point_theorem

-- Commitment 3: Science-Faith Boundary (VII.P29)
-- Full four-register convergence at the Logos sector requires Reg_C stance-stability.
-- : Commitment   (.registry_id = "VII.P29")
#check @Tau.BookVII.Logos.Sector.science_faith_boundary

-- The boundary between proof and commitment is now a STRUCTURAL RECORD,
-- not a performative gap. A reader can inspect, judge, and disagree
-- with the commitments. They cannot mistake them for formal proofs.


-- ============================================================
-- 7. READER'S FREEDOM
-- ============================================================

/-
The framework preserves a non-negotiable principle:

  The reader may close the book at any point.
  No theorem compels belief. No proof demands commitment.
  The Commitment Register (Reg_C) is yours alone.

The Epilogue of Book VII — the only place in 3,000+ pages where
the authors enter Reg_C — is a personal reflection, not an argument.
It can be skipped without mathematical loss.

This is not mere politeness. It is a structural consequence of
VII.T47 (No Forced Stance): the framework proves that it cannot
force the reader's hand. Your freedom is a theorem.


WHAT COMES NEXT

• BookVII/Meta/Registers.lean      — Full 4-register formalization
• BookVII/Ethics/CIProof.lean      — Complete CI proof (22 theorems)
• BookVII/Logos/Sector.lean        — Consciousness, free will, Logos
• BookVII/Social/Ontology.lean     — Social ontology as sheaf theory
• BookVII/Final/Boundary.lean      — The methodological boundary
• BookVII/Meta/Archetypes.lean     — Jungian archetypes as τ-structures
• BookVII/Meta/Saturation.lean     — E₃ terminal saturation proof
-/