.. meta::
   :description: Complete list of all active social card metadata across the matheology section, showing current titles and descriptions for every page.
   :keywords: social cards, active, current, metadata, titles, descriptions, matheology, complete list, og:card
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :og:card:title: Active Social Cards<br>— All Matheology Pages
   :og:card:description: Complete list of all currently active social card titles and descriptions for every page in the matheology section.

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Active Social Cards --- All Matheology Pages
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This page lists the **currently active** social card metadata for every page
in the matheology section. These are the titles and descriptions that appear
when a page is shared on social media.

**Total pages:** 245

**Current quality level:** PP (PathProbing) --- max-effort rewrite, 2026-03-26.

.. list-table::
   :header-rows: 1
   :widths: 20 30 50

   * - Page
     - Active Title
     - Active Description
   * - :doc:`/matheology/axioms/axioms-vsec`
     - All 25 Axioms ax1--ax25<br>— Frozen Snapshot
     - Frozen snapshot of 25 axioms (ax1--ax25): mereological core, modal logic, divine nature, revelation bridge, and agency delegation with formal statements.
   * - :doc:`/matheology/axioms/easy/gospels-apostles`
     - All 25 Axioms Through<br>the New Testament Lens
     - All 25 axioms grounded in Gospel sayings of Jesus and Apostolic writings. Plain-language explanations with New Testament citations for each foundation.
   * - :doc:`/matheology/axioms/easy/hebrew-bible`
     - All 25 Axioms Through<br>the Hebrew Bible Lens
     - All 25 axioms grounded in Torah and Hebrew Bible citations. From Genesis creation to Leviticus 25 Jubilee year, each explained in plain language.
   * - :doc:`/matheology/axioms/easy/index`
     - All 25 Axioms Explained<br>in Plain Language
     - All 25 axioms in plain language with quotes from Jewish, Christian, Islamic, Hindu, and secular traditions. No formulas needed to understand the foundations.
   * - :doc:`/matheology/axioms/easy/quran-based`
     - All 25 Axioms Through<br>the Quranic Lens
     - All 25 axioms grounded in Quranic verses with supporting Torah and Gospel citations. The Quran affirms earlier scripture as guidance (3:3--4).
   * - :doc:`/matheology/axioms/easy/secular`
     - All 25 Axioms<br>— A Secular Reading
     - All 25 axioms restated without scripture or theology. Mereology becomes part-whole logic, divine necessity becomes structural necessity, agency stays real.
   * - :doc:`/matheology/axioms/expert/index`
     - All 25 Axioms — Expert<br>Full Formal Detail
     - Expert-depth compilation of all 25 axioms with LaTeX formal statements, full scriptural citations from all traditions, and dependency networks.
   * - :doc:`/matheology/axioms/index`
     - All 25 Axioms<br>— Pet and Jub Combined
     - All 25 axioms of mathematical theology compiled from Pet (ax1--ax14) and Jub (ax15--ax25) canonical sources, presented at beginner and expert depth levels.
   * - :doc:`/matheology/compiler/aha/index`
     - AHA Redirect —<br>Help Moved to Subsystems
     - AHA help content has moved into each compiler subsystem. This redirect page links to the SISYF guide, PROMY guide, POST docs, and 5D Space intro.
   * - :doc:`/matheology/compiler/index`
     - SISYF and PROMY —<br>Matheology's Two Compilers
     - Two matheology compilers: SISYF assembles views faithfully like Sisyphus, PROMY purifies reasoning flaws like Prometheus. Both use 5D link naming.
   * - :doc:`/matheology/compiler/sisyf/aa/compiler-implementation-tasks`
     - 17 Implementation Tasks —<br>Closing the Recompile Gap
     - Seventeen hand-edits to compiled pages will be lost on recompile. This backlog tracks each fix needed in the SISYF spec, stubs, or extraction.
   * - :doc:`/matheology/compiler/post/aa/index`
     - AnyAims Backlog —<br>Compiler Open Items
     - Compiler backlog tracking open items, known risks, and drift between hand-edited compiled pages and what SISYF would produce on next recompile.
   * - :doc:`/matheology/compiler/post/dd/index`
     - Design Discussions —<br>Compiler Architecture Log
     - Append-only log of architectural decisions for the matheology compiler. Each entry is numbered with b11 delayed counting and dated for traceability.
   * - :doc:`/matheology/compiler/post/dd/llog/b/11/index`
     - b11 Delayed Counting —<br>Why Registers Skip to b11
     - New registers start at b11, holding a1-b10 in reserve for entries that deserve short memorable addresses. Ten slots stay open for deliberate assignment.
   * - :doc:`/matheology/compiler/post/dd/llog/b/12/index`
     - Hybrid Landing Pages —<br>Where Compiled Output Lives
     - Human-crafted landing pages sit above compiler-generated depth views. Six rules enforce the boundary so compiled output is always safely regenerable.
   * - :doc:`/matheology/compiler/sisyf/ee/alignment-class-echoes`
     - Four PET-JUB Echoes —<br>Structural Coupling Evidence
     - Four PET-JUB axiom pairs reveal structural coupling: PET defines God-world ontology, JUB specifies behavioral content within that same structure.
   * - :doc:`/matheology/compiler/sisyf/ee/d1-d2-testing-matrix`
     - D1/D2 Testing Matrix —<br>Cross-Model Dependencies
     - JUB axioms depend on PET as foundation, and theorems th5-th11 draw from both models. Evidence matrix maps every cross-model dependency by D1 and D2.
   * - :doc:`/matheology/compiler/sisyf/ee/d2-chaining-evidence`
     - D2 Chaining Evidence —<br>Five Multi-Type Elements
     - Five of 32 matheology elements naturally chain multiple D2 types. ax19 chains ax-logic-limit; th8 reaches depth 3. Default nesting limit of 2 suffices.
   * - :doc:`/matheology/compiler/post/ee/index`
     - Enclosed Evidence —<br>Findings from Compilation
     - Five evidence files from Phase 2I-4 compilation runs document cross-model dependencies, D2 chaining, field collisions, and alignment class echoes.
   * - :doc:`/matheology/compiler/sisyf/ee/por-field-collision-check`
     - "model" Collision Check —<br>D1 vs PoR Field 40
     - Does "model" collide between D1 dimension and PoR field 40? They refer to the same concept from different angles. No label grammar collision found.
   * - :doc:`/matheology/compiler/sisyf/ee/por-field-usage-census`
     - PoR Field Usage Census —<br>45 Fields Across 32 Elements
     - Census of 45 PoR fields across ax1-ax5, with surprises for ax6-ax25 and th5-th11. Theorems lack source fields; two new fields proposed for type and scope.
   * - :doc:`/matheology/compiler/aha/equations`
     - LaTeX Equations —<br>Author Guide for Math Blocks
     - Why the compiler cannot auto-break equations, how to use LaTeX line breaks and alignment anchors in RST math blocks, and where to decide them.
   * - :doc:`/matheology/compiler/post/index`
     - POST Code Registry —<br>Compiler Infrastructure
     - POST organizes matheology compilers with double-letter codes for backlog, design discussions, and evidence. This page defines the authoritative registry.
   * - :doc:`/matheology/compiler/promy/index`
     - PROMY — Read-Write<br>Reasoning Compiler
     - Named after Prometheus, PROMY rewrites model source data by integrating HELL evidence. Read-write and dangerous, it requires human review gates.
   * - :doc:`/matheology/compiler/promy/promy-guide`
     - PROMY User Guide —<br>Placeholder for Formal Spec
     - Placeholder for the PROMY user guide. Will cover invocation, safety checklists, audit trails, and how PROMY differs from read-only SISYF compilation.
   * - :doc:`/matheology/compiler/sisyf/index`
     - SISYF — Read-Only<br>Cross-Model Compiler
     - SISYF reads PoR sources across PET, JUB, and future models to produce expert, easy, math, producer, and machine depth views. Always read-only.
   * - :doc:`/matheology/compiler/sisyf/sisyf-guide`
     - SISYF User Guide —<br>Quickstart to Full Reference
     - Quickstart, modes, extraction matrix, stub templates, and troubleshooting for the SISYF cross-model compiler. Full option reference included.
   * - :doc:`/matheology/compiler/sisyf/synthesis-howto`
     - Synthesis Page How-To —<br>Merging Tradition Citations
     - How to create synthesis pages that merge citations from multiple traditions into one easy-depth page. Two worked examples with a seven-step checklist.
   * - :doc:`/matheology/compiler/sisyf/ww/sisyf-skill`
     - SISYF Skill Specification —<br>Authoritative Reference
     - Authoritative spec for the SISYF compiler: 54-field extraction matrix, five depth profiles, four modes, label grammar, and LaTeX preservation rules.
   * - :doc:`/matheology/compiler/sisyf/ww/stubs/matheology-easy`
     - Easy Depth Stub —<br>13-Field Beginner Template
     - Stub template for SISYF easy-depth pages with 13 fields: simplified names, plain-English intro, informal intuition, and one citation per tradition.
   * - :doc:`/matheology/compiler/sisyf/ww/stubs/matheology-expert`
     - Expert Depth Stub —<br>54-Field Full Scaffold
     - Stub template for SISYF expert-depth pages with all 54 PoR fields. The full scaffold shows every intended heading even before content is authored.
   * - :doc:`/matheology/compiler/sisyf/ww/stubs/matheology-machine`
     - Machine Depth Stub —<br>15-Field API Template
     - Stub template for SISYF machine-depth pages with 15 fields: structured IDs, LaTeX, logic, dependency graph, stability codes, and version metadata.
   * - :doc:`/matheology/compiler/sisyf/ww/stubs/matheology-math`
     - Math Depth Stub —<br>19-Field Formal Template
     - Stub template for SISYF math-depth pages with 19 fields: LaTeX statements, logic frameworks, technical reasoning, dependencies, and limitations.
   * - :doc:`/matheology/compiler/sisyf/ww/stubs/matheology-producer`
     - Producer Depth Stub —<br>25-Field Teaching Template
     - Stub template for SISYF producer-depth pages with 25 fields: identity, rewritten intro, top-3 citations, convergence, KnownKiller, and version info.
   * - :doc:`/matheology/compiler/space/5d-link-naming-intro`
     - 5D Link Naming —<br>Plain-English Introduction
     - Plain-English guide to BEST Names: how pet-ax5 encodes model, type, and number, how five dimensions organize content, and how to contribute to HELL.
   * - :doc:`/matheology/compiler/space/index`
     - 5D Label Space —<br>Shared Compiler Coordinates
     - Model, ElementTypes, Version, Depth, and View form the 5D coordinate system shared by SISYF, PROMY, and all future matheology compilers.
   * - :doc:`/matheology/compiler/space/prompt_5d-link-naming-intro`
     - Prompt — Write the<br>5D Naming Introduction
     - The prompt that produced the 5D link naming introduction. Specifies eight sections, tone rules, style constraints, and a 150-250 line target length.
   * - :doc:`/matheology/compiler/space/ww/5d-link-naming-matheology-aha`
     - BEST Names Architecture —<br>Living Working Copy
     - Living working copy of the BEST Names architecture: five dimensions, PoR field registry, label grammar, POST codes, and the audit lifecycle.
   * - :doc:`/matheology/heaven/index`
     - HEAVEN — Recompiling<br>Theology from Source
     - HEAVEN (Honestly Examining Axioms, checking Every Narrative) recompiles theology from first principles using formal axioms and six-tradition cross-checks.
   * - :doc:`/matheology/hell/bug/c/101/expert`
     - Cache of Babel — Expert<br>Full Debugging Trace
     - A 6-minute debugging session traced a missing tooltip through six dead ends to a cache bug, then revealed the same flaw in religious transmission.
   * - :doc:`/matheology/hell/bug/c/101/index`
     - The Cache of Babel<br>— A Real-Life Parable
     - Two identical links, two different results. A real cache bug becomes a parable for how religions produce contradictions from shared divine revelation.
   * - :doc:`/matheology/hell/bug/c/101/intermediate`
     - Cache of Babel — How<br>Caches Silently Break
     - Why do two identical links behave differently? Because cache bugs are invisible from the inside. This intermediate guide explains the BABL pattern.
   * - :doc:`/matheology/hell/bug/c/101/original-opus-output-2026m03d12-hell-cache-of-babel`
     - Cache of Babel<br>Original Opus Output
     - The unedited Claude Opus output from 2026-03-12: a tooltip bug, six dead-end hypotheses, a cache root cause, and theological parallels to naming wars.
   * - :doc:`/matheology/hell/bug/c/101/raw`
     - Cache of Babel — Raw<br>Prompt Transcript
     - Verbatim prompts, clarifying questions, and AI responses from the Cache of Babel session, documenting who contributed what to this HELL entry.
   * - :doc:`/matheology/hell/bug/c/101/single`
     - Cache of Babel — Complete<br>Single-Page Report
     - All three Cache of Babel readings on one page: the parable, the technical explanation, and the full debugging trace with the 616 cosmic footnote.
   * - :doc:`/matheology/hell/bug/c/102/index`
     - Stale Links in Code,<br>Stale Doctrines in Faith
     - A routine code migration broke 66 links, revealing the same pattern that makes religions wage war over naming differences instead of shared truths.
   * - :doc:`/matheology/hell/con/b/11/index`
     - Con-A.1 — Bistability<br>Asserted Without Proof
     - th8 claims exactly two attractors but provides no state variables, evolution equations, or basin boundaries. Strogatz showed three-variable systems generically oscillate.
   * - :doc:`/matheology/hell/con/b/12/index`
     - Con-A.2 — Post-Hoc<br>Narrative, Not Prediction
     - th8 draws the target around the bullet holes. Soviet collapse, Nordic success, and capitalist crises are all categorized after the fact with no falsification criterion.
   * - :doc:`/matheology/hell/con/b/13/index`
     - Con-C.3 — No Total Order<br>for Causal Influence
     - ax19 claims a unique person with maximal causal influence, but influence across climate, AI, and nuclear domains is a vector, not a scalar. Arrow applies.
   * - :doc:`/matheology/hell/con/b/14/index`
     - Con-C.4 — Why Periodic<br>Resets Specifically?
     - ax25 leaps from "some redistribution is needed" to "periodic Leviticus 25 resets are necessary." Six alternatives from UBI to antitrust are never ruled out.
   * - :doc:`/matheology/hell/con/b/15/index`
     - Con-C.5 — Peters Said<br>Cooperate, Not Reset
     - Ole Peters recommends cooperative time-average optimization, not periodic resets. th9 also invokes eschatological timescales that escape any empirical test.
   * - :doc:`/matheology/hell/con/b/16/index`
     - Con-D.6 — Piketty's r > g<br>Does Not Entail Collapse
     - Rognlie showed Piketty's rising capital share is housing, not productive capital. Rome, China, and India maintained extreme inequality for centuries.
   * - :doc:`/matheology/hell/con/b/17/index`
     - Con-E.7 — Individual Failure<br>Is Not Civilizational Death
     - th8 is stated for individual innovations, but the self-destruction conclusion requires civilizational scope. Tainter and Diamond show collapse is not that simple.
   * - :doc:`/matheology/hell/con/b/18/index`
     - Con-E.8 — Math Notation<br>Without Math Content
     - th5 through th11 use quantifiers and modal operators over predicates that lack formal truth conditions. The notation looks rigorous but the proofs are not.
   * - :doc:`/matheology/hell/con/b/19/index`
     - Con-E.9 — Free Will Debate<br>Undermines ax15 and ax17
     - If compatibilism holds (59% of philosophers), ax17's guidance-versus-force distinction collapses. If hard determinism holds, ax15 fails and the theodicy falls.
   * - :doc:`/matheology/hell/con/b/20/index`
     - Con-E.10 — Can You Apply<br>Part-Whole Logic to God?
     - CEM identifies objects sharing the same parts, creates sums of arbitrary entities, and makes God composite. PET acknowledges the tension but does not resolve it.
   * - :doc:`/matheology/hell/con/b/21/index`
     - Con-E.11 — Never Enacted,<br>Even at Village Scale
     - Fager found no archaeological evidence that Leviticus 25 was ever enacted. A system that failed at agrarian village scale faces scaling to 8 billion people.
   * - :doc:`/matheology/hell/con/b/22/index`
     - Con-E.12 — Why Must It<br>Come from Volunteers?
     - th7 bundles an economic claim (redistribution needed) with a theological claim (only volunteers can do it). The second does not follow from the first at all.
   * - :doc:`/matheology/hell/con/b/23/index`
     - Con-E.13 — Where Are the<br>Negative Feedback Loops?
     - th8 assumes only positive feedback loops, but real economies self-correct. Minsky showed stability breeds fragility, which breeds reform, which breeds stability.
   * - :doc:`/matheology/hell/con/b/24/index`
     - Con-F.14 — Civilization<br>Has Not Self-Destructed
     - No civilization has ever satisfied all three cords, yet life expectancy doubled since 1900 and extreme poverty fell from 80% to 10%. Where is the collapse?
   * - :doc:`/matheology/hell/con/b/25/index`
     - Con-A.2.1 — Nuclear Risk<br>Is Real, Link Is Not
     - The Cuban Missile Crisis, Petrov incident, and Able Archer were caused by geopolitics and technical failures, not wealth concentration. The causal chain is missing.
   * - :doc:`/matheology/hell/con/b/26/index`
     - Con-A.2.2 — One Fix Cannot<br>Address All Extinctions
     - AI alignment is a control problem, nuclear risk is organizational, climate depends on emissions. Redistributing wealth does not address any of these causal mechanisms.
   * - :doc:`/matheology/hell/con/b/27/index`
     - Con-C.2.3 — Same Math,<br>No Empirical Backing
     - Michaelis-Menten earned credibility through 100,000+ replications. RiskyMADorMAP has one Earth, four data points, and a subjective 1/3 transition probability.
   * - :doc:`/matheology/hell/con/b/28/index`
     - Con-C.2.4 — Influence Is a<br>Vector, Not a Scalar
     - Fitness counts offspring --- a natural scalar. Causal influence is a vector across infinite outcome dimensions with no canonical projection or time horizon.
   * - :doc:`/matheology/hell/con/b/29/index`
     - Con-C.2.5 — 7TrackRole:<br>Labels, Not a Model
     - Seven roles from biblical names, no measurable criteria, no transition probabilities, and the Markov property is almost certainly violated. This is not a model.
   * - :doc:`/matheology/hell/con/b/30/index`
     - Con-C.2.6 — The Wealthy<br>Will Always Defect
     - Scheidel showed only war, revolution, plague, and state collapse have ever reduced inequality at scale. No voluntary, peaceful redistribution has ever been documented.
   * - :doc:`/matheology/hell/con/b/31/index`
     - Con-D.2.7 — The GC Analogy<br>Argues Against Resets
     - The JVM abandoned stop-the-world GC for concurrent collectors because periodic pauses create unacceptable latency. Modern GC looks like progressive taxation.
   * - :doc:`/matheology/hell/con/b/32/index`
     - Con-D.2.8 — Formal When<br>Presenting, Vague When Hit
     - When presenting: formal notation, theorem numbers, axiom references. When challenged: "isn't it obvious?" A framework cannot claim both standards simultaneously.
   * - :doc:`/matheology/hell/con/b/33/index`
     - Con-D.2.9 — Forced or Free?<br>No Criteria to Decide
     - Is a person born into extreme poverty making free choices or forced ones? Without formal criteria, the D_f/D_free partition is assigned after outcomes are observed.
   * - :doc:`/matheology/hell/con/b/34/index`
     - Con-E.2.10 — Traditions<br>Support Justice, Not Resets
     - Zakat is annual and continuous, dana is individual charity, communism is state ownership. None of these resemble periodic resets, yet all are claimed as support.
   * - :doc:`/matheology/hell/con/b/35/index`
     - Con-E.2.11 — Arrow Says Fair<br>Design Is Impossible
     - Arrow proved no aggregation mechanism satisfies basic fairness axioms. Designing a redistribution system that everyone agrees is fair is mathematically impossible.
   * - :doc:`/matheology/hell/con/b/36/index`
     - Con-E.2.12 — The Dictum<br>Cancels Its Own Urgency
     - If everything possible will eventually happen, then nuclear war is inevitable --- but so is the remedy. The dictum guarantees both threat and solution simultaneously.
   * - :doc:`/matheology/hell/con/b/37/index`
     - Con-C.3.1 — 300x Manhattan<br>Project Will Collapse
     - ResearchCity proposes 40 million researchers on 539 square km --- 300x the Manhattan Project. Flyvbjerg's data predicts systematic failure at far smaller scales.
   * - :doc:`/matheology/hell/con/b/38/index`
     - Con-C.3.2 — The Knowledge<br>Cannot Be Centralized
     - Nuclear risk knowledge is classified. AI labs will not share insights. Climate adaptation is local. The knowledge ResearchCity needs cannot be centralized by design.
   * - :doc:`/matheology/hell/con/b/39/index`
     - Con-C.3.3 — The Cure Becomes<br>the Disease
     - Michels showed every large organization tends toward oligarchy. An institution controlling all global decision-support would concentrate knowledge-power beyond any precedent.
   * - :doc:`/matheology/hell/con/b/40/index`
     - Con-D.3.4 — You Need the<br>Output to Build the Input
     - ResearchCity needs global coordination to get built but exists to create global coordination. The EU took 70 years; Wikipedia grew organically. Neither was top-down.
   * - :doc:`/matheology/hell/con/b/41/index`
     - Con-D.3.5 — Breakthroughs<br>Need Paradigm Collisions
     - Darwin needed the collision of natural history, geology, and economics. A unified 40-million-person institution with a shared mission suppresses exactly that diversity.
   * - :doc:`/matheology/hell/con/b/42/index`
     - Con-E.3.6 — Nuclear States<br>Will Not Play Along
     - Ten nuclear states will not voluntarily submit to an institution they did not design. Schelling showed credible commitment needs enforcement, and ResearchCity has none.
   * - :doc:`/matheology/hell/con/b/43/index`
     - Con-E.3.7 — One Founder,<br>One Point of Failure
     - Weber showed charismatic authority must be routinized to survive, but routinization always changes the institution. LLoL is mortal and ResearchCity is deeply personal.
   * - :doc:`/matheology/hell/index`
     - HELL — Tracking Bugs<br>in Theological Reasoning
     - HELL applies software engineering's bug-database model to theology, tracing each SIN to its root-cause LIE for systematic, disciplined repair.
   * - :doc:`/matheology/hell/pro/b/11/index`
     - Pro-A.1 — Why Oscillations<br>Cannot Save Civilization
     - Oscillations are transient in finite systems. The absorbing CTMC model proves catastrophe arrives in decades, not centuries, for nuclear risk alone.
   * - :doc:`/matheology/hell/pro/b/12/index`
     - Pro-D.2 — Post-Hoc Weakness<br>Conceded, th8 Survives
     - Post-hoc framing is conceded but narrowly scoped. th8 stands on CTMC mathematics, and three future-work items sharpen the empirical programme.
   * - :doc:`/matheology/hell/pro/b/13/index`
     - Pro-C.3 — How Fitness<br>Rescues Axiom ax19
     - The fitness analogy rescues ax19 by showing causal influence projects onto a scalar. Arrow does not apply because this is physics, not preference voting.
   * - :doc:`/matheology/hell/pro/b/14/index`
     - Pro-E.4 — Why Periodic<br>Resets Beat Taxation
     - Five structural arguments show periodic resets separate equity and innovation phases. US top marginal tax fell from 91% to 37%, proving continuous erosion.
   * - :doc:`/matheology/hell/pro/b/15/index`
     - Pro-C.5 — 7TrackRole Model<br>Proves th9 Ergodicity
     - The 7TrackRole Markov chain on 49 states ensures ergodicity through periodic mixing. Without resets, accumulated advantage makes the chain reducible.
   * - :doc:`/matheology/hell/pro/b/16/index`
     - Pro-E.6 — Beyond Piketty:<br>Concentration Still Holds
     - Wealth concentrates through Pareto distributions, network effects, and political capture. Gilens and Page show US policy tracks elite preferences, not voters.
   * - :doc:`/matheology/hell/pro/b/17/index`
     - Pro-E.7 — Why the Parts<br>Cannot Fail Independently
     - Civilization is one tightly coupled system, not a portfolio of independent innovations. Helbing and Buldyrev prove interdependent networks amplify fragility.
   * - :doc:`/matheology/hell/pro/b/18/index`
     - Pro-F.8 — Proto-Formal<br>Status Honestly Conceded
     - Proto-formal status is honestly conceded. th5-th11 are at the handwritten-notes stage, comparable to early formalization efforts, not machine-checked proofs.
   * - :doc:`/matheology/hell/pro/b/19/index`
     - Pro-E.9 — Free Will Does<br>Not Block the Argument
     - The practical self-destruction argument survives under compatibilism and even soft determinism. The theological framing absorbs the metaphysical damage alone.
   * - :doc:`/matheology/hell/pro/b/20/index`
     - Pro-G.10 — Mereology Gap<br>Conceded, Damage Contained
     - CEM mereological limits are fully conceded for ax1-ax4 theology but structurally isolated. The modular axiom design prevents damage from reaching Group VI.
   * - :doc:`/matheology/hell/pro/b/21/index`
     - Pro-E.11 — Difficult Does<br>Not Mean Impossible
     - Non-implementation proves political difficulty, not impossibility. Democracy, abolition, and suffrage were all once unimaginable, then became institutional reality.
   * - :doc:`/matheology/hell/pro/b/22/index`
     - Pro-F.12 — Why Champions<br>Are Functionally Volunteers
     - Democratic champions are functionally volunteers who accept political risk for collective good. Theological and secular framings converge: someone must go first.
   * - :doc:`/matheology/hell/pro/b/23/index`
     - Pro-E.13 — Why Corrections<br>Cannot Prevent Absorption
     - Market corrections and democratic backlash produce oscillations, not structural fixes. Minsky's stability-breeds-instability supports th8, not the critique.
   * - :doc:`/matheology/hell/pro/b/24/index`
     - Pro-F.14 — Survival Is<br>Not Proof of Safety
     - A smoker without cancer is not proof that smoking is safe. Ergodicity economics shows ensemble averages can improve while individual catastrophic risk grows.
   * - :doc:`/matheology/hell/pro/b/25/index`
     - Pro-A.2.1 — Competitive<br>Inhibitor Bridges the Gap
     - A 5-Whys root-cause analysis traces the Cuban Missile Crisis to wealth-distribution failure. The competitive-inhibitor model creates an alternative pathway.
   * - :doc:`/matheology/hell/pro/b/26/index`
     - Pro-A.2.2 — All Risks<br>Converge at One Commons
     - Nuclear, AI, climate, and pandemic risks all converge as tragedy-of-the-commons failures. ResearchCity raises every survival probability simultaneously.
   * - :doc:`/matheology/hell/pro/b/27/index`
     - Pro-D.2.3 — Why N=1 Does<br>Not Break the Model
     - Stochastic inevitability transfers from biochemistry regardless of sample size. Like a loaded die, eventual occurrence is certain if one keeps playing the game.
   * - :doc:`/matheology/hell/pro/b/28/index`
     - Pro-C.2.4 — Reality Itself<br>Provides the Scalar
     - Reality's single trajectory collapses multi-dimensional causal influence onto a scalar, just as reproduction collapses traits onto fitness in evolutionary biology.
   * - :doc:`/matheology/hell/pro/b/29/index`
     - Pro-D.2.5 — 7TrackRole<br>Research-Program Conceded
     - Research-program status is conceded but the critique's own source undermines it. Chetty's data shows US social mobility declining, supporting structural resets.
   * - :doc:`/matheology/hell/pro/b/30/index`
     - Pro-D.2.6 — How Voluntary<br>Transformation Succeeds
     - The voluntariness paradox is real but not insuperable. Jesus transformed Rome through voluntary conversion, and four structural safeguards address free-riding.
   * - :doc:`/matheology/hell/pro/b/31/index`
     - Pro-E.2.7 — GC Analogy<br>Conceded, Symmetry Holds
     - The GC analogy is partially conceded because economic agents have agency. But the Lucas critique applies symmetrically, eroding continuous redistribution too.
   * - :doc:`/matheology/hell/pro/b/32/index`
     - Pro-D.2.8 — Three Rigor<br>Levels Honestly Separated
     - A three-level rigor ladder separates what is established from what is proto-formal. Scheidel provides 4000 years of evidence for the cost of avoiding resets.
   * - :doc:`/matheology/hell/pro/b/33/index`
     - Pro-E.2.9 — Poverty Tests<br>the Domain Partition
     - Nobody born into poverty is responsible for that condition. The domain partition correctly assigns responsibility to prior innovators who failed to prevent it.
   * - :doc:`/matheology/hell/pro/b/34/index`
     - Pro-G.2.10 — Tradition<br>Equivocation Fully Conceded
     - Cross-traditional equivocation is substantially conceded. Zakat is continuous, dana is voluntary, and only Leviticus 25 supports periodic comprehensive resets.
   * - :doc:`/matheology/hell/pro/b/35/index`
     - Pro-E.2.11 — Working Within<br>Arrow's Constraints
     - Arrow's impossibility theorem constrains the design space but does not empty it. Every functioning democracy works within Arrow, and so can JUB.
   * - :doc:`/matheology/hell/pro/b/36/index`
     - Pro-F.2.12 — Defective Dictum<br>Withdrawn From Case
     - The 'everything possible' dictum is logically defective and formally withdrawn. The urgency case rests on CTMC and commons-tragedy convergence.
   * - :doc:`/matheology/hell/pro/b/37/index`
     - Pro-C.3.1 — One Person<br>One Room, Not Megaproject
     - Stage 0 costs one person and one room. The 7-stage startup design is incremental and failure-tolerant --- the megaproject literature does not apply.
   * - :doc:`/matheology/hell/pro/b/38/index`
     - Pro-C.3.2 — Knowledge Stays<br>Local by Design
     - Local knowledge stays at its source, never shipped to a central processor. The ReRaft pipeline and 1600 semi-autonomous Stadia address Hayek directly.
   * - :doc:`/matheology/hell/pro/b/39/index`
     - Pro-D.3.3 — Seven Safeguards<br>One Honest Gap
     - Seven structural safeguards resist oligarchy, from funding caps to role rotation. But Michels' iron law of oligarchy remains honestly unresolved.
   * - :doc:`/matheology/hell/pro/b/40/index`
     - Pro-D.3.4 — One Person Starts<br>No Bootstrap Needed
     - Global coordination is the product of scaling, not its prerequisite. Stage 0 needs one person and one room --- the bootstrapping paradox dissolves.
   * - :doc:`/matheology/hell/pro/b/41/index`
     - Pro-D.3.5 — Paradigm Diversity<br>Enforced Three Ways
     - Paradigm conformity is structurally blocked at three levels: perspectival (4-Views), institutional (1600 Stadia), and epistemological (ReRaft).
   * - :doc:`/matheology/hell/pro/b/42/index`
     - Pro-F.3.6 — Credibility Builds<br>Stage by Stage
     - Game-theoretic barriers are real but apply to Stage 7, not Stage 0. Credibility builds incrementally through demonstrated value, not assertion.
   * - :doc:`/matheology/hell/pro/b/43/index`
     - Pro-E.3.7 — The Design Itself<br>Is the Succession Plan
     - The 7-stage design is itself the succession plan. Weber's charismatic-to-rational-legal transition is structurally built into Stages 1 through 3.
   * - :doc:`/matheology/index`
     - Mathematical Theology<br>— Where Faiths Converge
     - Matheology applies axiomatic logic to theology, revealing where Jewish, Christian, and Islamic traditions converge once claims are stated precisely.
   * - :doc:`/matheology/jub/anyaims`
     - Jub AnyAims<br>— Open Action Items
     - Open action items for Jub axioms ax15--ax25: formalization work, adversarial review follow-ups, theorem-prover integration, and predicate grounding tasks.
   * - :doc:`/matheology/jub/axioms`
     - Jub Axioms ax15--ax25<br>Agency and Delegation
     - Jub axioms ax15--ax25 formalize human agency, divine delegation, non-coercive guidance, genuine love, life-trifecta innovation, and Jubilee-System resets.
   * - :doc:`/matheology/jub/capitalism-communism`
     - Jubilee-System Synthesis<br>Beyond Left and Right
     - Theorem th8 predicts failure for both capitalism and communism. A Jubilee-System synthesis preserves incentives between rounds and resets at each round.
   * - :doc:`/matheology/jub/history`
     - Jub History<br>— Development and Review
     - Jub extension built 2026-03-16 with Claude Sonnet, then stress-tested in three adversarial rounds with Claude Opus. Development timeline documented here.
   * - :doc:`/matheology/jub/index`
     - Jub Model — Innovation<br>Theodicy and Economy
     - Jub extends Pet with 11 axioms (ax15--ax25) and 7 theorems (th5--th11) formalizing why human innovation failure causes evil and how Jubilee-System resets help.
   * - :doc:`/matheology/jub/llog/index`
     - Jub Development Log<br>— Session History
     - Chronological session logs for Jub framework development. OOv1 archives linked; future development logs will appear here as the project progresses.
   * - :doc:`/matheology/jub/overview`
     - Jub Innovation Economy<br>— Overview at a Glance
     - Narrative introduction to the Jub model: how axioms ax15--ax25 build on Pet to solve the innovation theodicy and arrive at Jubilee-System economics.
   * - :doc:`/matheology/jub/quest`
     - Jub Adversarial Quest<br>33 Critiques Answered
     - Thirty-three adversarial objections to the Jub innovation theodicy answered in scholastic disputatio format across three rounds of OOv1 review.
   * - :doc:`/matheology/jub/symbols`
     - Jub Symbol Dictionary<br>Notation for ax15--ax25
     - Every symbol in the Jub extension defined: H (humanity), D_free, D_inno, causal influence, delegation, guide, force, and innovation predicates for ax15--ax25.
   * - :doc:`/matheology/jub/theodicy`
     - Innovation Theodicy<br>— Why God Delegates
     - The innovation theodicy: evil arises when humans with genuine agency and delegated authority fail to innovate toward the flourishing of others. Formally.
   * - :doc:`/matheology/jub/theorems`
     - Jub Theorems th5--th11<br>Innovation Theodicy
     - Seven theorems derived from all 25 axioms: divine non-responsibility (th5), binary attractors (th8), social ergodicity (th9), and stakes without death (th11).
   * - :doc:`/matheology/naming-architect`
     - BEST Names Architecture<br>— Technical Design
     - BEST Names architecture solves Sphinx label collisions with an LL(1)-parseable 5D grammar for cross-referencing matheology across models and depths.
   * - :doc:`/matheology/naming-easy`
     - What Do Labels Like<br>Pet ax5 Actually Mean?
     - Labels like Pet ax5 name axioms by model, type, and number. This plain-language guide explains how the site's naming system works in under 500 words.
   * - :doc:`/matheology/naming-expert`
     - BEST Names Reference<br>— 5D Label System
     - Complete reference for the 5D BEST Names system: model, element, version, depth, and view dimensions that give every axiom a stable unique label.
   * - :doc:`/matheology/naming-producer`
     - Naming for Teachers<br>— Citing Axioms Right
     - Citation guide for teachers and communicators: how to reference axioms like Pet ax5 in sermons, lectures, and papers with consistent depth and worldview.
   * - :doc:`/matheology/naming`
     - BEST Names — Stable<br>Labels at Every Depth
     - BEST Names assigns every axiom and objection a stable, parseable label. Four depth levels serve beginners, teachers, researchers, and system architects.
   * - :doc:`/matheology/pet/anyaims`
     - Pet AnyAims<br>— Open Action Items
     - Open action items for Pet axioms ax1--ax14: automated theorem prover integration, ax11 dipolar refinement, revelation bridge formalization, and review tasks.
   * - :doc:`/matheology/pet/axioms`
     - Pet Axioms ax1--ax14<br>Formal Panentheism
     - Fourteen Pet axioms formalize panentheism using mereology and S5 modal logic: containment, transcendence, presence, dipolar nature, and revelation testing.
   * - :doc:`/matheology/pet/discussions`
     - Pet Axioms — Caveats<br>and Open Questions
     - Strengths, limitations, and open questions for Pet axioms ax1--ax14. Includes the six-tradition scriptural convergence result and the ax11/ax11-prime fork.
   * - :doc:`/matheology/pet/history`
     - Pet History — Origin<br>of the Axiom System
     - Pet axioms originated on 2026-03-11 when LLoL asked Claude Opus for axioms on a whim. The results triggered a full development and review programme.
   * - :doc:`/matheology/pet/index`
     - Pet — 14 Formal Axioms<br>for Panentheism
     - Pet model: 14 axioms in 5 groups formalize panentheism with mereology and S5 modal logic. Six traditions independently support the same formal structure.
   * - :doc:`/matheology/pet/llog/index`
     - Pet Development Log<br>— Session History
     - Chronological development log for Pet axioms ax1--ax14: initial AI session, poster review, ax11 strengthening, ax12--ax14 reformulation, and Jub extension.
   * - :doc:`/matheology/pet/overview`
     - Pet Panentheism<br>— Overview at a Glance
     - Narrative overview of the Pet model: how 14 axioms in 5 modular groups formalize panentheism from containment through revelation testing methodology.
   * - :doc:`/matheology/pet/poster`
     - Pet Poster — Axioms<br>ax1--ax14 at a Glance
     - A 3x4ft color-coded poster presenting all 14 Pet axioms with formal statements, plain-English readings, and six-tradition scriptural support at a glance.
   * - :doc:`/matheology/pet/symbols`
     - Pet Symbol Dictionary<br>Notation for ax1--ax14
     - Every symbol in Pet axioms ax1--ax14 defined: G (God), W (World), mereological parthood, S5 modal operators, presence, sustaining, and dipolar structure.
   * - :doc:`/matheology/pet/theodicy`
     - How Pet Axioms Ground<br>the Innovation Theodicy
     - Pet axioms ax1--ax14 establish containment, presence, and sustaining dependence that ground the innovation theodicy argument developed fully in the Jub model.
   * - :doc:`/matheology/pet/theorems`
     - Pet Theorems th1--th4<br>— What Axioms Prove
     - Four theorems derived from Pet axioms ax1--ax14: no godless creation (th1), asymmetric priority (th2), no isolation (th3), divine experience varies (th4).
   * - :doc:`/matheology/prior-art/ai-opus-search-2026m03d11-matheology`
     - Matheology Prior Art<br>— AI-Assisted Survey
     - Claude Opus 4.6 searched for existing mathematical theology frameworks on 2026-03-11. Building blocks exist across fields, but no unifying discipline.
   * - :doc:`/matheology/prior-art/index`
     - Prior Art in<br>Mathematical Theology
     - Prior art and references for mathematical theology. An AI-assisted survey found building blocks across fields but no unifying formal discipline.
   * - :doc:`/matheology/prior-art/llog/index`
     - Prior Art Log<br>— Survey Session Record
     - Development log for the 2026-03-11 prior-art survey session where Claude Opus searched for existing mathematical theology and proposed initial axioms.
   * - :doc:`/matheology/hell/ll/other/b/16/other_ll_2026m03d11_initial-ai-matheology-session`
     - Prior Art Session Log<br>2026-03-11 AI Search
     - Full transcript of the 2026-03-11 Claude Opus session that surveyed prior art in mathematical theology and proposed the first 14 panentheistic axioms.
   * - :doc:`/matheology/symbols/index`
     - Symbol Dictionaries<br>for All Axioms
     - Integrated symbol dictionary for all of mathematical theology: Pet notation for ax1--ax14 and Jub notation for ax15--ax25, compiled from canonical sources.
   * - :doc:`/matheology/theorems/easy/index`
     - Theorems in Plain Language<br>What the Axioms Prove
     - Eleven theorems in plain language. Accept the axioms and these results follow: divine priority, innovation theodicy, binary attractors, social ergodicity.
   * - :doc:`/matheology/theorems/expert/index`
     - Theorems Expert View<br>— Formal Derivations
     - Expert-depth derivations of all 11 theorems with proof sketches, axiom dependencies, and formalization status. Pet th1--th4 fully formal; Jub th5--th11 proto.
   * - :doc:`/matheology/theorems/index`
     - What the Axioms Prove<br>— 11 Formal Theorems
     - Eleven theorems derived from 25 axioms: Pet th1--th4 prove divine priority and presence; Jub th5--th11 build the formal innovation theodicy.
   * - :doc:`/matheology/hell/ll/index`
     - VV — Frozen Archives<br>for Matheology Theories
     - Frozen snapshots of every PET and JUB matheology revision, with the development logs and adversarial critique rounds that shaped each version.
   * - :doc:`/matheology/hell/mm/b/14/OOv1/capitalism-communism`
     - JUB Beyond Capitalism<br>and Communism
     - How axiom ax25 synthesizes capitalism's incentive structure with communism's redistribution insight while th8 correctly predicts both systems' failures.
   * - :doc:`/matheology/hell/ll/jub/index`
     - JUB OOv1 — Innovation<br>Theodicy First Version
     - Frozen archive of JUB OOv1: the innovation theodicy axioms ax15-ax25 and theorems th5-th11, developed and adversarially critiqued across three rounds.
   * - :doc:`/matheology/hell/ll/jub/index`
     - JUB OOv1 Session Logs<br>Dev & Critique Cycles
     - Index of JUB OOv1 session logs: Sonnet and Opus development sessions from 2026-03-16, plus three rounds of adversarial mathematical critique.
   * - :doc:`/matheology/hell/ll/jub/b/11/jub_ll_2026m03d16_theodicy-details-final-memory`
     - PET Theodicy Session<br>Full Detail Record
     - Complete session record of the PET innovation theodicy development: axioms ax15-ax25, theorems th5-th11, user corrections, and design rationale.
   * - :doc:`/matheology/hell/ll/jub/b/12/jub_ll_2026m03d16_theodicy-overview-final-memory`
     - PET Theodicy Session<br>Key Findings Overview
     - How 11 axioms and 7 theorems produce a formal innovation theodicy: key findings, lessons from dual-agent compilation, and prior art comparison.
   * - :doc:`/matheology/hell/ll/jub/b/13/jub_ll_2026m03d16_theodicy-details-opus-regen`
     - Opus Regen PET Theodicy<br>Detailed Session Record
     - Independent Opus regeneration of PET theodicy details: axioms ax15-ax25, theorems th5-th11, three domains, and the 7+2 perspective framework.
   * - :doc:`/matheology/hell/ll/jub/b/14/jub_ll_2026m03d16_theodicy-overview-opus-regen`
     - Opus Regen PET Theodicy<br>Key Findings Overview
     - Opus-regenerated overview of the PET theodicy session: four key developments, five lessons learned, and status of the 25-axiom formal system.
   * - :doc:`/matheology/hell/ll/jub/b/15/jub_ll_2026m03d16_theodicy-details-sonnet`
     - Sonnet PET Theodicy Session<br>Detailed Axiom Record
     - Sonnet-compiled detailed record of the PET theodicy session: formal axioms ax15-ax25 with proofs, theorems th5-th11, and cross-traditional references.
   * - :doc:`/matheology/hell/ll/jub/b/16/jub_ll_2026m03d16_theodicy-overview-sonnet`
     - Sonnet PET Theodicy Session<br>Key Findings Overview
     - Sonnet-compiled overview of the PET theodicy session: five key developments extending PET from 14 to 25 axioms and closing the innovation theodicy.
   * - :doc:`/matheology/hell/ll/jub/b/17/jub_ll_2026m03d18_critique-1-of-jubilee-argument`
     - Adversarial Critique Round 1<br>14 Objections to JUB
     - Fourteen adversarial objections against the JUB argument chain ax24-th8-ax25, attacking bistability claims, empirical evidence, and Jubilee necessity.
   * - :doc:`/matheology/hell/ll/jub/b/18/jub_ll_2026m03d18_reply-1-for-jubilee-argument`
     - Reply Round 1<br>Finite-World Rebuttal to Critique
     - First reply to 14 adversarial objections: why oscillations fail in finite individual-based systems, the fitness analogy for ax19, and th8 refinements.
   * - :doc:`/matheology/hell/ll/jub/b/19/jub_ll_2026m03d18_reply-1b-for-jubilee-argument`
     - Reply 1b Revised Defense<br>RiskyMADorMAP Model
     - Revised reply to 14 adversarial objections, introducing the RiskyMADorMAP model to show civilization self-destructs within decades without Jubilee.
   * - :doc:`/matheology/hell/ll/jub/b/20/jub_ll_2026m03d18_critique-2-of-jubilee-argument`
     - Adversarial Critique Round 2<br>12 Deeper Objections
     - Second-round adversarial critique with 12 new objections targeting vulnerabilities exposed by Reply 1b, plus fatal-severity Jubilee challenges.
   * - :doc:`/matheology/hell/ll/jub/b/21/jub_ll_2026m03d19_reply-2-for-jubilee-argument`
     - Reply 2 Forest vs Trees<br>Structural Defense of JUB
     - Reply 2 to adversarial critique: exposes two systematic patterns --- proximal-cause myopia and premature completeness demands --- in 12 objections.
   * - :doc:`/matheology/hell/ll/jub/b/22/jub_ll_2026m03d19_critique-3-of-jubilee-argument`
     - Adversarial Critique Round 3<br>ResearchCity Feasibility
     - Third-round adversarial critique targeting ResearchCity with 7 institutional feasibility objections, ending with a candid concession of the evidence.
   * - :doc:`/matheology/hell/ll/jub/b/23/jub_ll_2026m03d19_reply-3-for-jubilee-argument`
     - Reply 3 ResearchCity Vision<br>7-Stage Incremental Design
     - Reply 3 rebuts ResearchCity feasibility critiques by revealing the 7-stage incremental architecture from SD8a that starts with a single research home.
   * - :doc:`/matheology/hell/ll/jub/b/24/jub_ll_2026m03d19_comments-on-ultrathink-effort`
     - Max vs Ultrathink Effort<br>AI Reasoning Depth Control
     - How to control Claude's reasoning depth: the difference between /effort max and ultrathink, and why the adversarial critiques may have run below max.
   * - :doc:`/matheology/hell/mm/b/14/OOv1/theodicy`
     - Innovation Theodicy<br>— The JUB Narrative
     - Why does a good God permit evil from human innovation failure? The JUB framework answers with 11 axioms tracing agency, delegation, and consequence.
   * - :doc:`/matheology/hell/ll/jub/index`
     - JUB OOv2 — Theodicy<br>Strengthened by Critique
     - JUB OOv2 integrates all 33 adversarial objections from three critique rounds into the innovation theodicy using scholastic disputatio methodology.
   * - :doc:`/matheology/hell/ll/jub/b/42/jub_ll_2026m03d22_stress-test-dispositions`
     - Disposition Honesty Audit<br>33 Labels Bias-Checked
     - Audit of all 33 JUB OOv2 disposition labels for motivated reasoning bias, since the same Claude model that wrote replies also assigned dispositions.
   * - :doc:`/matheology/hell/ll/jub/b/43/jub_ll_2026m03d22_stress-test-feasibility`
     - Feasibility Stress-Test<br>ResearchCity Under Scrutiny
     - Independent feasibility stress-test of ResearchCity: an institutional-design expert's skeptical evaluation of a $500B+ proposal's empirical claims.
   * - :doc:`/matheology/hell/ll/jub/b/44/jub_ll_2026m03d22_stress-test-math`
     - Math Rigor Stress-Test<br>Se1 Proof Audit
     - Independent mathematical rigor stress-test of all Se1 sphere objections in the JUB OOv2 quest, tracing the core logical chain and grading proofs.
   * - :doc:`/matheology/hell/ll/jub/b/45/jub_ll_2026m03d23_2I-adversarial-stress-test`
     - BEST Names Stress-Test<br>Adversarial Attack Results
     - Systematic adversarial attack on the BEST Names architecture, reporting HELD or BREACH for each weakness found, with a foundational note on testing.
   * - :doc:`/matheology/hell/ll/jub/b/46/jub_ll_2026m03d23_2I-audit-checklist`
     - Deliverable Audit Checklist<br>Phase 2I-7a Results
     - Systematic audit checklist for Phase 2I deliverables: label migration counts, compilation outputs, HELL register integrity, and naming grammar checks.
   * - :doc:`/matheology/hell/ll/jub/b/47/jub_ll_2026m03d23_2I-por-field-testing`
     - PoR Field Testing Report<br>45 Fields x 32 Elements
     - PoR field testing across all 32 formal elements ax1-ax25 and th5-th11, assessing which of 45 AHA-specified fields are populated and which remain stubs.
   * - :doc:`/matheology/hell/ll/jub/b/48/jub_ll_2026m03d25_aha-best-names-for-links`
     - BEST Names Architecture<br>Matheology Link Grammar
     - BEST Names architecture for matheology cross-references: a 5-dimensional grammar designed for 100+ years of stable, collision-free label operation.
   * - :doc:`/matheology/hell/ll/jub/b/47/deprecated_2I-por-field-testing-part-a`
     - Deprecated PoR Part A<br>Fields 1-18 Only
     - Deprecated partial PoR field testing report covering fields 1-18 only. Superseded by the combined 45-field report in 2I-por-field-testing.rst.
   * - :doc:`/matheology/hell/ll/jub/index`
     - JUB OOv2 Session Logs<br>Restructuring & Integration
     - Index of JUB OOv2 restructuring logs: master plan, disputatio-based critique integration, stress-tests, BEST Names architecture, and audit results.
   * - :doc:`/matheology/hell/ll/jub/b/41/alignment-class-echoes`
     - Alignment Class Echoes<br>Cross-Model Coherence
     - Cross-model alignment class echoes where the same element number addresses the same concept across PET and JUB --- evidence of structural coherence.
   * - :doc:`/matheology/hell/ll/jub/b/41/d1-d2-testing-matrix`
     - D1/D2 Testing Matrix<br>BREACH 1.7 Analysis
     - D1/D2 testing matrix mapping which type IDs are used by which model codes, identifying grammar-legal but semantically empty BREACH 1.7 combinations.
   * - :doc:`/matheology/hell/ll/jub/b/41/d2-chaining-evidence`
     - D2 Chaining Evidence<br>Label Combination Patterns
     - Cases where authors naturally combine multiple D2 type concepts in chained labels, testing whether single types always suffice or chaining adds meaning.
   * - :doc:`/matheology/hell/ll/jub/b/41/por-field-collision-check`
     - PoR Field #40 Collision<br>Model Name Ambiguity
     - Does the name collision between PoR field #40 (model) and D2 type (model) cause real ambiguity? This data collection tracks actual usage patterns.
   * - :doc:`/matheology/hell/ll/jub/b/41/por-field-usage-census`
     - PoR Field Usage Census<br>Real-World Coverage
     - Census of 40+ PoR fields: which are naturally populated by existing content, which require expert invention, and which remain empty stubs in practice.
   * - :doc:`/matheology/hell/ll/jub/b/25/jub_ll_2026m03d20_restructuring-1-master-plan`
     - JUB OOv2 Master Plan<br>Disputatio Methodology
     - AI master plan for integrating 33 adversarial critiques into JUB OOv2 using scholastic disputatio, 8-level severity scale, and 7 spheres of evidence.
   * - :doc:`/matheology/hell/ll/jub/b/26/jub_ll_2026m03d21_restructuring-1-plan-additions`
     - Master Plan Additions<br>OOv2 Restructuring Decisions
     - Additions and decisions appended to the OOv2 master plan during restructuring: required-files lists, scope changes, and methodology refinements.
   * - :doc:`/matheology/hell/ll/jub/b/27/jub_ll_2026m03d21_restructuring-2a-critique1-c1-c3`
     - Phase 2a Critique C1-C3<br>Quest Integration Round 1
     - Integration of adversarial objections C1-C3 into the JUB OOv2 quest: th8 dynamical claims, post-hoc narrative fitting, and ax19 incomparability.
   * - :doc:`/matheology/hell/ll/jub/b/28/jub_ll_2026m03d21_restructuring-2b-critique1-c4-c7`
     - Phase 2b Critique C4-C7<br>Quest Integration Round 1
     - Integration of adversarial objections C4-C7 into the JUB OOv2 quest: Jubilee alternatives, ergodicity misapplication, scope, and circular reasoning.
   * - :doc:`/matheology/hell/ll/jub/b/29/jub_ll_2026m03d21_restructuring-2c-critique1-c8-c14`
     - Phase 2c Critique C8-C14<br>Round 1 Complete
     - Final seven Round 1 objections C8-C14 integrated into quest format, completing all 14 adversarial critiques from the first review cycle.
   * - :doc:`/matheology/hell/ll/jub/b/30/jub_ll_2026m03d21_restructuring-2d-critique2-c2-1-c2-6`
     - Phase 2d Critique C2.1-C2.6<br>Fatal-Severity Round 2
     - Six Round 2 objections integrated including two at fatal severity (A) --- the most dangerous challenges in the entire adversarial review cycle.
   * - :doc:`/matheology/hell/ll/jub/b/31/jub_ll_2026m03d21_restructuring-2e-critique2-c2-7-c2-12`
     - Phase 2e Critique C2.7-C2.12<br>Round 2 Complete
     - Final six Round 2 objections C2.7-C2.12 integrated with two concessions, completing all 12 Round 2 challenges in the adversarial review cycle.
   * - :doc:`/matheology/hell/ll/jub/b/32/jub_ll_2026m03d21_restructuring-phase1-consolidate`
     - Phase 1 Consolidation<br>Quest Template Applied
     - Phase 1 consolidation session: renaming discussions.rst to quest.rst, applying the scholastic disputatio template, and confirming clean build.
   * - :doc:`/matheology/hell/ll/jub/b/33/jub_ll_2026m03d21_phase1-prompts-reply-overviews`
     - Debug Log Prompts & Replies<br>OOv2 Restructuring Audit
     - Verbatim prompts from LLoL and Claude response overviews preserved as an immutable audit trail for debugging all OOv2 restructuring decisions.
   * - :doc:`/matheology/hell/ll/jub/b/34/jub_ll_2026m03d22_restructuring-2F-critique3`
     - Phase 2F Critique C3.1-C3.7<br>All 33 Objections Done
     - All 7 Round 3 objections targeting ResearchCity feasibility integrated into quest format, completing the full set of 33 adversarial challenges.
   * - :doc:`/matheology/hell/ll/jub/b/35/jub_ll_2026m03d22_restructuring-2G-2H-stress-tests`
     - Stress-Test Convergence<br>OOv2 Summary & Freeze
     - Three independent stress-tests converge into a final maturity assessment, summary scoreboard, and formal freeze of the JUB OOv2 snapshot.
   * - :doc:`/matheology/hell/ll/jub/b/36/jub_ll_2026m03d22_session-planning-2F-2H`
     - Session Planning 2F-2H<br>Context Window Adaptation
     - Planning session redesigning 1M-token prompts for the 200K-token context window, adding a 3-angle stress-test methodology for Phases 2F-2H.
   * - :doc:`/matheology/hell/ll/jub/b/37/jub_ll_2026m03d23_restructuring-2I-closing`
     - Phase 2I Closing Summary<br>Handoff to Phase 3
     - Phase 2I closing summary: deliverable audit results, key design decisions, BEST Names stress-test findings, known limitations, and Phase 3 handoff.
   * - :doc:`/matheology/hell/ll/jub/b/38/jub_ll_2026m03d23_restructuring-2I-design-session`
     - BEST Names Design Session<br>Phase 2I Architecture
     - Design session producing the BEST Names architecture: 7-dimensional grammar for stable, extensible matheology cross-reference labels using Evolvix.
   * - :doc:`/matheology/hell/ll/jub/b/39/jub_ll_2026m03d24_phase2I-6-hell-migration`
     - HELL Label Migration<br>66 Labels Renumbered
     - HELL migration of 66 quest labels from round-based naming to flat-numbered BEST Names format, with all cross-references updated across the site.
   * - :doc:`/matheology/hell/ll/jub/b/40/jub_ll_2026m03d25_best-names-design-revision`
     - BEST Names Design Revision<br>Lifecycle & PoR Census
     - BEST Names design revision adding lifecycle model, publication renumbering, PoR field census, and Place-of pipeline harmonization to the spec.
   * - :doc:`/matheology/hell/ll/jub/b/41/jub_ll_2026m03d26_integration-tests`
     - Integration Test Results<br>BEST Names Empirical Data
     - Six read-only integration tests gathering empirical evidence for open BEST Names design questions, including cross-model HELL classification.
   * - :doc:`/matheology/hell/ll/jub/b/49/jub_ll_2026m03d20_quest-cons-table`
     - 33 Objections Inventory<br>Severity & Sphere Mapping
     - Complete catalogue of all 33 adversarial objections across 3 rounds, mapping each to severity A-H, target axiom, sphere, and session assignment.
   * - :doc:`/matheology/hell/ll/jub/b/38/skill-compile-matheology`
     - /compile-matheology Spec<br>Skill Definition
     - Specification for the /compile-matheology skill: how to compile axiom and theorem pages from BEST Names field definitions and PoR source data.
   * - :doc:`/matheology/hell/ll/jub/b/34/prompt_2f_ready_1M`
     - Phase 2f: 1M-Token<br>Alternative (Superseded)
     - Superseded 1M-token prompt for Phase 2f Round 3 integration, replaced by two focused 200K-token sessions (Phases 2F-1 and 2F-2 on this site).
   * - :doc:`/matheology/hell/ll/jub/b/35/prompt_2g_ready_1M`
     - Phase 2g: 1M-Token<br>Alternative (Superseded)
     - Superseded 1M-token prompt for the Phase 2g final summary and freeze session, replaced by six focused 200K-token sessions (Phases 2G-1 to 2H-2).
   * - :doc:`/matheology/hell/ll/jub/b/37/aims-plotter-phase3`
     - Phase 3 Task Tracker<br>for JUB OOv2 Integration
     - Living task tracker for Phase 3 work items identified during JUB OOv2 integration, covering formalization, KUFIR deployment, and content priorities.
   * - :doc:`/matheology/hell/ll/jub/b/47/deprecated_prompt_2I-2_unsplit`
     - Phase 2I-2: Unsplit<br>PoR Testing (Deprecated)
     - Deprecated unsplit prompt for Phase 2I-2 PoR field testing across all 45 fields, superseded by the split sessions 2I-2a and 2I-2b for token fit.
   * - :doc:`/matheology/hell/ll/jub/b/38/deprecated_prompt_2I-3_v1`
     - Phase 2I-3 v1:<br>Deprecated Skill Prompt
     - Deprecated v1 prompt for the Phase 2I-3 compilation skill definition, superseded by a token-optimized version with selective file reading strategy.
   * - :doc:`/matheology/hell/ll/jub/b/37/deprecated_prompt_2I-7_unsplit`
     - Phase 2I-7: Unsplit<br>Closing (Deprecated)
     - Deprecated unsplit prompt for Phase 2I-7 project closing, superseded by the split sessions 2I-7a (audit) and 2I-7b (llog and Phase 3 handoff).
   * - :doc:`/matheology/hell/ll/jub/index`
     - JUB OOv2 Phase 2<br>Execution Prompts
     - All execution prompts for JUB OOv2 Phase 2 restructuring: critique integration, stress-tests, BEST Names architecture, and final compilation.
   * - :doc:`/matheology/hell/ll/jub/b/34/prompt_2F-1`
     - Phase 2F-1: Round 3<br>Objection Integration
     - Execution prompt for integrating all seven Round 3 objections (C3.1-C3.7) targeting ResearchCity feasibility into the JUB OOv2 quest register.
   * - :doc:`/matheology/hell/ll/jub/b/36/prompt_2F-2`
     - Phase 2F-2: Round 3<br>Documentation Session
     - Execution prompt for the Phase 2F-2 documentation session: creating the session llog and updating plan files after Round 3 integration completes.
   * - :doc:`/matheology/hell/ll/jub/b/44/prompt_2G-1`
     - Phase 2G-1: Math Rigor<br>Stress-Test Prompt
     - Execution prompt for stress-testing mathematical rigor across all JUB OOv2 quest resolutions that claim logical or formal proof-level support.
   * - :doc:`/matheology/hell/ll/jub/b/43/prompt_2G-2`
     - Phase 2G-2: Feasibility<br>Stress-Test Prompt
     - Execution prompt for stress-testing empirical and institutional feasibility of the ResearchCity design within the JUB OOv2 quest resolution framework.
   * - :doc:`/matheology/hell/ll/jub/b/42/prompt_2G-3`
     - Phase 2G-3: Disposition<br>Honesty Audit Prompt
     - Execution prompt for auditing disposition honesty across all 33 JUB OOv2 objections, checking for motivated-reasoning bias in classifications.
   * - :doc:`/matheology/hell/ll/jub/b/35/prompt_2G-4`
     - Phase 2G-4: Convergence<br>and Final Verdict
     - Execution prompt for the Phase 2G-4 convergence session, synthesizing three independent stress-test results into a final maturity assessment.
   * - :doc:`/matheology/hell/ll/jub/b/35/prompt_2H-1`
     - Phase 2H-1: OOv2 Freeze<br>and Build Check
     - Execution prompt for freezing the OOv2 snapshot, consolidating all open items from Phase 2 sessions, and performing final build quality checks.
   * - :doc:`/matheology/hell/ll/jub/b/35/prompt_2H-2`
     - Phase 2H-2: Final<br>Documentation Prompt
     - Execution prompt for final documentation covering all stress-test sessions 2G-1 through 2G-4 and the freeze session 2H-1 for the audit trail.
   * - :doc:`/matheology/hell/ll/jub/b/38/prompt_2I-1`
     - Phase 2I-1: Label<br>Migration to BEST Names
     - Execution prompt for migrating legacy flat namespace labels to BEST Names model-prefixed identifiers (ax1 to pet-ax1) across the full codebase.
   * - :doc:`/matheology/hell/ll/jub/b/47/prompt_2I-2a`
     - Phase 2I-2a: PoR Field<br>Testing (Fields 1-18)
     - Execution prompt for testing PoR fields 1 through 18 covering identity, technical, and source categories against the OOv2 corpus evidence base.
   * - :doc:`/matheology/hell/ll/jub/b/47/prompt_2I-2b`
     - Phase 2I-2b: PoR Field<br>Testing (Fields 19-45)
     - Execution prompt for testing PoR fields 19 through 45 covering operational, network, and analytical categories using stress-test critique evidence.
   * - :doc:`/matheology/hell/ll/jub/b/38/prompt_2I-3`
     - Phase 2I-3: Compilation<br>Skill Definition
     - Execution prompt for defining the compile-matheology skill specification and the extraction matrix that drives audience-specific page generation.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_2I-4`
     - Phase 2I-4: First<br>Compilation Run
     - Execution prompt for the first compilation run generating audience-specific downstream pages from PoR source fields using the extraction matrix.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_2I-4b_theorems-compile`
     - Phase 2I-4b: Theorems<br>Compilation Prompt
     - Execution prompt for generating compiled theorem views at expert and easy depth from PoR source fields, parallel to axiom pages in Phase 2I-4.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_2I-4c_axiom-synthesis-pages`
     - Phase 2I-4c: Axiom<br>Synthesis Pages
     - Execution prompt for creating axiom synthesis pages presenting all 25 axioms through tradition-specific lenses including secular and scriptural.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_2I-5`
     - Phase 2I-5: BEST Names<br>Adversarial Attack
     - Execution prompt for an adversarial session attacking the BEST Names architecture to find naming collisions, scalability flaws, and weaknesses.
   * - :doc:`/matheology/hell/ll/jub/b/40/prompt_2I-6`
     - Phase 2I-6: Public<br>Documentation Prompt
     - Execution prompt for writing public-facing documentation that explains the BEST Names architecture to four distinct audience levels on balospe.com.
   * - :doc:`/matheology/hell/ll/jub/b/39/prompt_2I-6_hell-migration`
     - Phase 2I-6: HELL<br>Migration Prompt
     - Execution prompt for migrating 66 round-based quest labels to a flat-numbered HELL finding register with all cross-references updated correctly.
   * - :doc:`/matheology/hell/ll/jub/b/46/prompt_2I-7a`
     - Phase 2I-7a: Deliverable<br>Audit Prompt
     - Execution prompt for auditing all Phase 2I deliverables against the original design specification before writing the permanent closing record.
   * - :doc:`/matheology/hell/ll/jub/b/37/prompt_2I-7b`
     - Phase 2I-7b: Closing<br>Llog and Handoff
     - Execution prompt for writing the permanent closing llog and preparing the Phase 3 handoff with all open items documented for the JUB OOv2 project.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_2I-integration-tests`
     - Phase 2I Integration<br>Tests Prompt
     - Execution prompt for gathering empirical evidence on open BEST Names design questions using real data from the Phase 2I integration sessions.
   * - :doc:`/matheology/hell/ll/jub/b/30/prompt_2d_ready`
     - Phase 2d: Round 2<br>Integration Part 1
     - Execution prompt for integrating Round 2 objections C2.1 through C2.6 into the JUB OOv2 quest register, including two items rated fatal severity.
   * - :doc:`/matheology/hell/ll/jub/b/31/prompt_2e_ready`
     - Phase 2e: Round 2<br>Integration Part 2
     - Execution prompt for integrating Round 2 objections C2.7 through C2.12 into the JUB OOv2 quest structure with scoreboard and concession tracking.
   * - :doc:`/matheology/hell/ll/jub/b/47/prompt_por-field-usage-census`
     - PoR Field Usage Census<br>Agent Prompt
     - Agent prompt for tracking which PoR fields get populated during the OOv1-to-OOv2 migration, informing Phase 3 field set right-sizing decisions.
   * - :doc:`/matheology/hell/ll/jub/b/41/prompt_reap-design-questions-during-integration`
     - Reap Design Questions<br>During Integration
     - Agent prompt for collecting evidence on open BEST Names design questions while simultaneously performing matheology content integration tasks.
   * - :doc:`/matheology/hell/ll/pet/index`
     - PET OOv1 — The Origin<br>of Axiomatic Theology
     - The serendipitous origin of PET axioms ax1-ax14: LLoL asked Claude Opus to propose axioms for mathematical theology and was stunned by the quality.
   * - :doc:`/matheology/hell/ll/pet/b/11/pet_ll_2026m03d11_initial-ai-matheology-session`
     - Matheology Origin Session<br>Prior Art & First Axioms
     - The origin session: Claude Opus searches for prior art in mathematical theology, then proposes 14 PET axioms and 4 theorems from mereology and S5.
   * - :doc:`/matheology/hell/mm/b/11/ppv1/axioms`
     - PET Axioms ax1-ax14<br>Formal Statements
     - All 14 PET axioms in five modular groups, each with formal mereological statements, plain-English readings, and scriptural support from six sources.
   * - :doc:`/matheology/hell/mm/b/11/ppv1/discussions`
     - PET Discussions<br>and Honest Caveats
     - An honest assessment of what PET axioms achieve, where they fall short, and why six independent traditions converge on the same formal structure.
   * - :doc:`/matheology/hell/ll/pet/index`
     - PET PPv1 — Axiom System<br>Frozen Archive
     - Frozen PPv1 archive of 14 PET axioms using mereology and modal logic S5, with cross-traditional scriptural convergence across six faith traditions.
   * - :doc:`/matheology/hell/ll/pet/index`
     - PET PPv1 Session Logs<br>Poster Development Index
     - Index of PET PPv1 poster development logs: axiom review sessions, ax11 strengthening, ax14 reformulation, and website restructure from 2026-03-15.
   * - :doc:`/matheology/hell/ll/pet/b/12/pet_ll_2026m03d15_axioms-poster-details`
     - PET Poster Session Details<br>4 Revisions Documented
     - Detailed record of the PET poster session: 4 PDF revisions, ax11 strengthening with subworld-indexed Gc, ax14 reformulation, and LaTeX compilation.
   * - :doc:`/matheology/hell/ll/pet/b/13/pet_ll_2026m03d15_axioms-poster-overview`
     - PET Poster Session Overview<br>Key Findings & Lessons
     - Key findings from the PET poster session: ax11 strengthened with subworld-indexed Gc, ax14 reformulated as revelation claims test, title revised.
   * - :doc:`/matheology/hell/ll/pet/b/14/pet_ll_2026m03d15_pet-restructure`
     - PET Website Restructure<br>Post-Poster Launch Prep
     - PET website restructure after poster finalization: RST file split, convergence table expanded to 6 perspectives by 14 axioms, and launch prep.
   * - :doc:`/matheology/hell/mm/b/11/ppv1/symbols`
     - PET Symbol Dictionary<br>for Axioms ax1-ax14
     - Every symbol in the PET axiom system defined: entities, mereological operators, modal operators, and the formal notation conventions linking them.
   * - :doc:`/matheology/hell/mm/b/11/ppv1/theorems`
     - PET Theorems th1-th4<br>Derived from Axioms
     - Four theorems derived from PET axioms ax1-ax14: no godless creation, asymmetric ontological priority, no isolation, and divine experience variation.
