LL/PET — PET Development Session Logs#
Session logs documenting the development of the PET axiom system (ax1–ax14), from its serendipitous origin through the reviewed PPv1 poster.
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.
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: PET Axioms ax1_A1–ax14_A14, PET Theorems, PET Symbol Dictionary, PET Axioms — Discussions and Caveats