Matheo-b11 — PET, the Pan-En-Theism model#
PET is a foundational study of the series: it writes the panentheistic claim all is in God, but God exceeds all as 14 axioms in five groups, then checks them against seven independent traditions — reporting where they converge and where they genuinely diverge.
How to use: The files below are MockupModels = MM. Their maturity approximates that of a newborn baby that still has a lot of growing up and surviving to do before it can leave its current helpless state by growing into someone who can do “useful” things. This baby feeds on constructive criticism; flattery is like sugar: nice but mostly useless; killing a baby is easy, raising it to become a responsible adult is hard. LLoL got these files so far. Now LLoL has to pass on the baton in this global race. To raise a responsible mathematical theology takes a world. Nowadays it takes a global village to raise a responsible child. Neither can succeed without the other. Hence, LLoL calls to #AuditTheMath, either as a participant or expert contributor or by buying in as a Select Stadion Backer to support those who work on this monumental task.
Introducing Mathematical Theology with the PET Model for Axiomatic Pan-En-Theism#
Broader Significance
PET (Pan-En-Theism) is the foundational formal model of the Matheo series: a 14-axiom system — 13 substantive axioms and one definition, in classical extensional mereology and S5 modal logic — that makes the panentheistic claim “all is in God, but God exceeds all” precise enough to derive theorems, check internal consistency, and test claims against the structure. The axioms fall in five groups: the mereological God-world containment relationship, the modal status of God and world, God’s relational attributes (presence, sustaining, asymmetric dependence), God’s internal structure (the Dipolarity/Simplicity fork), and a formal methodology for testing human claims about divine revelation. Four theorems follow, including No Godless Creation and Divine Experience Varies.
The most striking result is a wide scriptural convergence: when the axioms — formalized from philosophy, not scripture — are checked against the Torah and other Hebrew scriptures, the direct teachings of Jesus and the Apostles, the Quran, Hindu scriptures, and secular philosophy, the traditions independently support much of the same formal structure. The convergence was not designed; it emerged from checking afterward. This is the formal companion to the general-reader introduction (Matheo-b11-intro). The system is designed to be critiqued, not believed.
Abstract
We introduce mathematical theology as a wide open field worth studying by presenting PET, a formal model for Pan-En-Theism. PET is a formal axiom system comprising 14 axioms organized in 5 modular groups, using classical extensional mereology and S5 modal logic. The system formalizes the panentheistic claim that “all is in God, but God exceeds all” with sufficient precision to derive theorems, check internal consistency, and test claims against the axiom structure.
The 14 axioms encode: (I) the mereological God-world containment relationship, (II) the modal status of God and the world, (III) God’s relational attributes (presence, sustaining, asymmetric dependence), (IV) God’s internal structure (the Dipolarity/Simplicity fork), and (V) a formal methodology for testing human claims about divine revelation.
Four theorems are derived: No Godless Creation (th1), Asymmetric Ontological Priority (th2), No Isolated Part (th3), and Divine Experience Varies (th4).
The most striking finding is wide scriptural convergence across diverse traditions: when the 14 axioms are checked against the Torah and other Hebrew scriptures, the direct teachings of Jesus and the Apostles, the Quran, Hindu scriptures, and secular philosophy, all traditions independently supported the same formal structure for the God-world relationship. The axioms were not chosen to generate such broad convergence — it emerged from checking for corresponding echoes after the axioms were formalized.
This axiom system is designed to be critiqued, not believed. It makes explicit what follows from what, so that theological disagreements can be located precisely. Companion papers in this series extend (1) PET into (2) system construction (e7Day), (3) personal growth dynamics (e7He), (4) innovation theodicy (JUB), (5) a structural critique of Divine Simplicity, (6) existential risk modeling (RiskyMAD), and (7) an experimental test of the system’s central prediction about the purpose of human life (h* uniqueness).
When Seven Traditions Agree — What the Math Says About God and the World#
Broader Significance
Seven traditions, developed independently across millennia and continents — the Torah, the Prophets and Writings, the direct teachings of Jesus, wider Christianity, Islam, Hinduism, and secular philosophy — converge on the same core structural axioms about the God-world relationship when their claims are translated into formal logic. The convergence is strongest on transcendence, sustaining dependence, and the methodology of claim-testing; it is genuinely contested on containment and divine internal structure. This is the introductory paper of the PET (Pan-En-Theism) model, the foundational study of the Matheo (matheology) series in Honestly Examining Axioms — Vetting Every Narrative.
The axioms were built from panentheistic philosophy — part-whole logic and the logic of necessity and possibility — without looking at any scripture. The scriptural cross-check was performed after the axioms were defined, as a test. The result was unexpected: seven traditions, across 2,500 years, fitting a shared formal mold on core structural claims while genuinely diverging on others.
For readers concerned with religious conflict, theological disagreement OLT, the science-faith boundary, or whether mathematical tools can sharpen questions prose has not, this paper offers the entry point. The axiom system includes a built-in test (ax14): human claims about divine revelation must be mutually consistent. This turns theological disagreement from a source of conflict into a diagnostic tool anyone can use.
Abstract
Seven traditions, developed independently across millennia and continents, converge on core structural axioms about the God-world relationship when their claims are translated into formal logic. The convergence is strongest on transcendence, sustaining dependence, and claim-testing methodology; it is genuinely contested on containment and divine internal structure.
The axiom system includes a built-in test (ax14): human claims about divine revelation must be mutually consistent. This turns theological disagreement from a source of conflict into a diagnostic tool anyone can use.
If the axioms hold, God experiences every act of suffering in the world — and 12,500 nuclear warheads could add billions of new experiences of suffering by accident, in under an hour. The people with the launch codes all claim to serve truth. This is what their own traditions say truth requires. #AuditTheMath
Why the Theology Matters#
Broader Significance
This is the general-reader on-ramp to the Matheo (matheology) study series.
If the axioms presented hold, then God is present to every part of the world and God’s experience changes with what happens in it — so every act of suffering, especially the suffering humans inflict on one another, becomes a distinct experience in the awareness of a being present to all of creation.
The stakes are nuclear. Continuing to play nuclear roulette is bound to result in accidental nuclear winter eventually. LLoL built a probabilistic forecast model of waiting times. It predicts that he is more likely to die in accidental nuclear winter than in a car crash. No escape unless the game is fundamentally changed. How to do this has eluded the smartest minds for 80 years. Annie Jacobsen (2024) describes the dilemma in her book “Nuclear War: A Scenario”; LLoL presents the analogous simulation model and forecast.
No belief is required, except a love for the truth and a grasp of the underpinning math. The argument shows what follows if the axioms hold. LLoL found seven deep worldview traditions to support the pan-en-theological structures defined here. The formal study is public (Matheo-b11). The system is designed to be critiqued, not believed. #AuditTheMath
Abstract
This is the general-reader on-ramp to the Matheo (matheology) study series. It asks one question in plain language: if the PET axioms presented here hold — if God is present to every part of the world, and if what happens in the world genuinely changes God’s experience — then what follows for the suffering humans inflict on one another? The answer is structural, not sentimental: every act of cruelty adds a distinct, specific suffering to the experience of a being present to all of creation. The paper then applies this to the ongoing nuclear roulette that is bound to end in accidental nuclear winter. This series was written in no small part because LLoL discovered by accident or by providence (you decide) a probabilistic forecast model that tells him that someone like him is more likely to die in accidental nuclear winter than in a car crash. That is if the game is not changed (and many people smarter than LLoL have tried to end that problem for 80 years). How much more suffering will humanity want to continue to inflict on God? Hence, you might imagine LLoL’s surprise at discovering that there actually was a gentle kind reasonable, narrow path out of this quagmire. It involves scaling up a ResearchCity, built on mathematical theology.
The argument needs no prior belief in God. It shows what follows if the axioms hold. LLoL found seven traditions across millennia that independently support that structure (the formal case is in Matheo-b11).
When Kekulé struggled to determine the chemical structure of benzene, he had a dream of a serpent devouring its own tail. The dream wasn’t science. But it inspired the experiments and tests that taught humanity the structure of benzene. What LLoL presents here is the snake-dragon he started to see and how it may relate to checks and tests humanity can do in its many disciplines in order to determine what it may take to actually survive.
To coordinate such efforts, LLoL proposes to scale up a ResearchCity that is bound by fiduciary responsibility to work for the long-term common good of all.
Yet before committing to such a momentous undertaking, one better check that the math is right. Hence, LLoL prepared his Matheo Study Series in order to invite the rest of the world to check, if the math he discovered actually checks out. Ignoring LLoL is fine. But this math can only be ignored at one’s own peril. The system is designed to be critiqued, not believed. Hence, #AuditTheMath!
For readers concerned with nuclear risk, the ethics of war, or the science-faith boundary, this is the entry point. Hopefully this text is readable for anyone aged twelve and up - or inspires others to make it more readable for this broadest possible audience.