.. Migration note (2026m04d04): Claude copied this file during VV-to-HELL migration.
   Old path: ``vv/pet/ppv1/llog/llog_2026m03d15_opus-memory4session-matheology-axioms-poster-overview.rst`` (as given by LLoL)
   New path: ``hell/ll/pet/b/13/pet_ll_2026m03d15_axioms-poster-overview.rst`` (as chosen by Claude)
   Category: PET log

.. meta::
   :description: Key findings from the PET poster session: ax11_A11 strengthened with subworld-indexed Gc, ax14_A14 reformulated as revelation claims test, title revised.
   :keywords: PET poster, PPv1r1p1, ax11_A11 strengthening, ax14_A14 revelation claims test, th4_T4 derivability, key findings, lessons learned, Claude Opus, llog
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :og:card:title: PET Poster Session Overview<br>Key Findings & Lessons
   :og:card:description: ax11_A11 strengthened, ax14_A14 reformulated, th4_T4 gap identified --- the key findings and lessons that shaped the final PPv1r1p1 poster.

.. SOCIAL-CARD-QUALITY-COMPARE --- OO (default effort) vs PP (max effort), 2026-03-26
   OO :description: Session log: Overview of the PET axioms poster session. Part of the PET PPv1 review process with Claude Opus 4.6.
   OO :keywords: matheology, PET, PPv1, poster, overview, ax11_A11, ax14_A14, Claude Opus, session log, llog
   OO :og:card:title: PET Poster Session Overview (Opus)
   OO :og:card:description: Key findings from the PET poster session: ax11_A11 strengthening, ax14_A14 reformulation as revelation claims test, and title revision for PPv1r1p1.
   PP :description: Key findings from the PET poster session: ax11_A11 strengthened with subworld-indexed Gc, ax14_A14 reformulated as revelation claims test, title revised.
   PP :keywords: PET poster, PPv1r1p1, ax11_A11 strengthening, ax14_A14 revelation claims test, th4_T4 derivability, key findings, lessons learned, Claude Opus, llog
   PP :og:card:title: PET Poster Session Overview<br>Key Findings & Lessons
   PP :og:card:description: ax11_A11 strengthened, ax14_A14 reformulated, th4_T4 gap identified --- the key findings and lessons that shaped the final PPv1r1p1 poster.

.. SOCIAL-CARD-REVIEW --- generated by Claude Opus 4.6, 2026-03-26
   dv_ClaOp46_PP_2026m03d26 --- max-effort rewrite, read full page.
   :description: 143 chars | :og:card:title: 44 chars (excl <br>)
   - [ ] PP title more compelling than OO title
   - [ ] PP description more accurate than OO description
   - [ ] Description hooks without misleading
   - [ ] Keywords specific to this page's actual content
   - [ ] No language rule violations
   - [ ] Character counts verified

.. note:: **Editorial note (2026-03-24).**
   This log uses "validated," "verified," and similar terms in places
   where the author's long-standing practice is to say "tested" or
   "checked." The distinction matters: open systems cannot be confirmed
   correct by any finite set of checks --- they can only be tested
   (see :ref:`not-tested-not-validated` in the adversarial stress-test
   report for the full argument). The AI-generated text was not
   corrected at the time of writing. The log is otherwise unaltered.

.. LabLog Overview — MatheologyAxiomsPoster Session
   Date: 2026-03-15
   Agent: Claude Opus 4.6

==========================================================================
LabLog Overview: Matheology Axioms Poster — Key Findings & Lessons Learned
==========================================================================

:Date: 2026-03-15
:Session: MatheologyAxiomsPoster
:Final artifact: ``matheology-axioms-panentheism-start-confict-resolution-ivLLoL_PPv1r1p1_2026m03d14``


What Was Made
=============

A 3x4ft poster presenting 14 formal axioms for pan-en-theistic mathematical
theology, organized in 5 groups, with 4 derived theorems, a complete symbol
dictionary, a containment diagram, experimental tests against 4 Abrahamic
traditions, a conjectural theodicy derivation, and a call to fund a
ResearchCity for matheology research. Final version: v1r1p1.


Three Key Improvements Made During Review
==========================================

1. **ax11_A11 (Divine Structure) was strengthened.** The original formulation
   ("Gc varies with W") was too weak to derive th4_T4 (subworld version). Four
   formal lines now give Gc explicit functional structure indexed by subworlds,
   making th4_T4 a one-step derivation. This is the session's most significant
   mathematical contribution.

2. **ax14_A14 was reformulated as a Revelation Claims Test.** The original was
   self-referential and static. The new version introduces ``claim(p)`` to
   distinguish human claims from God's actual truth (R), tests claims pairwise
   for consistency and against ax1_A1-ax13_A13, and provides a concrete method for
   identifying where prophetic traditions contradict each other.

3. **The title was softened from "averting Armageddon" to "Conflict
   Resolution"** to let academic readers engage with the math before
   encountering the activist framing. The urgency argument remains in the
   body of the poster.


Lessons Learned
===============

For the Matheology Project
--------------------------

- **Axiomatization is fast; verification is slow.** Claude generated the
  initial axiom system in minutes. But checking each axiom's formal code
  against its plain-English explanation, verifying that theorems actually
  follow from the axioms cited, and catching overclaims (th4_T4) took multiple
  careful review rounds between human and AI.

- **Subworld structure matters.** The move from "Gc varies with W-as-a-whole"
  to "Gc is a function of each subworld wi" is not cosmetic. It transforms
  dipolarity from a metaphysical abstraction into a concrete, fine-grained
  claim about God's engagement with each part of creation — and it's what
  makes the empathy argument (feeding the hungry = feeding God) formally
  grounded rather than merely poetic.

- **The caring gap is real but closeable.** Presence (ax8_A8) alone does not
  imply caring. But sustaining (ax9_A9) + being affected (ax11_A11) together do.
  This three-axiom chain (ax8_A8+ax9_A9+ax11_A11) is the formal backbone of the
  poster's theodicy argument and should be preserved in future work.

- **R's definition determines the system's character.** Defining R as
  "propositions held to be divinely revealed" makes ax12_A12 substantive and
  rejectable. Defining R as "true propositions about God" makes ax12_A12
  tautological but shifts the empirical work to ax14_A14. Both are valid
  architectures; they answer different questions. The poster chose the
  latter, which is more defensive but less bold.

For Human-AI Collaboration on Formal Work
------------------------------------------

- **AI catches structural issues; humans catch overclaims.** Claude correctly
  identified the ax14_A14 self-reference problem and the missing connection
  between ax8_A8 and caring. But the th4_T4 overclaim (subworld version doesn't
  follow from original ax11_A11) was flagged by Claude only after generating the
  poster — the axiom system was initially proposed without noticing the gap.
  Iterative review between human and AI is essential.

- **Predicate naming matters for poster-scale work.** The progression from
  ``claimed-divine(p)`` to ``D(p)`` to ``claim(p)`` to spelling out
  ``contradiction`` instead of the falsum symbol shows that formal notation
  on a poster needs a different readability threshold than in a paper.

- **Academics and activists can share a poster** if the formal core earns
  attention before the call-to-action makes demands. Title framing matters
  more than content framing for this purpose.

For Future Agents
-----------------

- LLoL is meticulous, pushes back on incorrect critique with clear reasoning,
  and prefers concise responses. Do not over-apologize; do not pad.
- LLoL refines generated artifacts in Keynote, not in code. The PPTX is a
  starting point, not a final product.
- When reviewing PDFs of posters, line breaks in narrow columns can make
  hyphenated words look like missing hyphens. Read carefully.
- The Fira font family is an established
  convention for this project.


Status
======

The poster (v1r1p1) is mathematically clean and ready to distribute.
Remaining minor items:

- ``w0`` in Fig.1 caption not in symbol dictionary
- Strengthened ax11_A11 and reformulated ax14_A14 should be backported to website RST
- The poster's omni-properties chain (section C) is flagged as conjectural; formalizing
  it is future work (as stated on the poster)


.. admonition:: TELES migration report (2026m04d04)

   Mechanical identifier migration applied to this file.
   All axiom/theorem text references were migrated from short form
   (e.g., A15) to compound form (e.g., ax15_A15) as part of the
   matheology compound naming operation. Both forms refer to the
   same formal object. The old form survives as the suffix to
   ensure consistency with the oldest records; the new form adds
   a temporary-status prefix. Forward-facing pages use brief form
   (ax15) only. See
   :ref:`hell-ll-other-b15-teles-renaming-prompt` for the complete
   mapping table and :ref:`legacy-5d-link-names-table-for-pet-jub-model` for the permanent
   reference.
