.. meta::
   :description: PET session logs --- from the serendipitous origin of PET axioms through poster development and website restructure.
   :keywords: HELL, PET, LifeLabLog, LLog, session logs, audit trail, axioms, panentheism, matheology
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and The Spirit of Boolean Truth

.. _hell-ll-pet-index:


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LL/PET --- PET Development Session Logs
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Session logs documenting the development of the PET axiom system (ax1--ax14),
from its serendipitous origin through the reviewed PPv1 poster.

.. admonition:: Origin story (ported from VV)

   This is the very first version of the PET axiom system, discovered almost
   by accident. LLoL asked Claude Opus on a whim to propose some axioms for
   a mathematical theology --- and was quite stunned by the quality of the
   result. That surprise triggered the entire development programme that led
   to the reviewed PPv1 poster and the JUB extension.

.. admonition:: PPv1 overview (ported from VV)

   A formal axiom system for pan-en-theistic mathematical theology --- 14 axioms
   in 5 modular groups, using mereology and modal logic S5. The axioms encode the
   distinctive panentheistic claim that "all is *in* God, but God exceeds all" and
   derive consequences from it with mathematical rigor. When checked against the
   scriptures of six independent traditions --- Torah, Prophets, Gospel, wider
   Christianity, Islam, and Hinduism --- the axioms receive surprisingly strong
   convergent support, suggesting that the theological disagreements driving
   real-world conflict may not be about the *structure* of God's relationship to
   the world, where the scriptures agree, but about other claims layered on top.

   **14 axioms in 5 groups:**

   - Group I --- Mereological Core (ax1--ax4): The world is in God, but God exceeds the world.
   - Group II --- Modal Axioms (ax5--ax7): God exists necessarily; the world exists contingently; containment is necessary.
   - Group III --- Relational Axioms (ax8--ax10): God is present to every part of creation, sustains it, and does not depend on it.
   - Group IV --- Divine Nature (ax11): God has an unchanging nature AND a world-responsive experience (dipolarity).
   - Group V --- Revelation Bridge (ax12--ax14): God's self-knowledge is true; human claims about revelation can be formally tested for consistency.

   **4 reviewed theorems:** No Godless Creation (th1), Asymmetric Ontological Priority (th2),
   No Isolated Part of Creation (th3), Divine Experience Varies (th4).

   **Key result:** Cross-traditional convergence --- six independent perspectives each
   independently support the same formal axiom structure.

**Frozen model snapshots:** :doc:`/matheology/hell/mm/b/11/ppv1/axioms`,
:doc:`/matheology/hell/mm/b/11/ppv1/theorems`,
:doc:`/matheology/hell/mm/b/11/ppv1/symbols`,
:doc:`/matheology/hell/mm/b/11/ppv1/discussions`


.. toctree::
   :maxdepth: 1
   :caption: PET Session Logs

   b/11/pet_ll_2026m03d11_initial-ai-matheology-session
   b/12/pet_ll_2026m03d15_axioms-poster-details
   b/13/pet_ll_2026m03d15_axioms-poster-overview
   b/14/pet_ll_2026m03d15_pet-restructure