.. include:: /_templates/include-file/page-prefix.rst .. _study-matheo-b11: .. meta:: :description: 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… :keywords: b11-form-pet-mmv5, b11-intro-pet-mmv5, b11-why-matheo-mmv5, matheology, Matheo-b11, AuditTheMath ***************************************** 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. .. container:: fineprint **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 :doc:`#AuditTheMath `, either as a participant or expert contributor or by :doc:`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 ================================================================================ | ``b11-form-pet-mmv5`` · form · formal axioms · :doc:`read online ` · `MMv5 PDF (228 KB) `__ **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 ======================================================================== | ``b11-intro-pet-mmv5`` · intro · general (12+) · :doc:`read online ` · `MMv5 PDF (155 KB) `__ **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 ======================== | ``b11-why-matheo-mmv5`` · why · general on-ramp · :doc:`read online ` · `MMv5 PDF (91 KB) `__ **Broader Significance** This is the general-reader on-ramp to the Matheo (matheology) study series. It asks one question in plain language: if the PET axioms 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 roughly 12,500 nuclear warheads now on Earth, whose use --- even by accident --- could add billions of new experiences of suffering in under an hour. The argument needs no prior belief in God. It shows what follows *if* the axioms hold, and six traditions across millennia independently support that structure (the formal case is in Matheo-b11). For readers concerned with nuclear risk, the ethics of war, or the science-faith boundary, this is the entry point --- written for anyone aged twelve and up. The system is designed to be critiqued, not believed. **Abstract** - **If the PET axioms hold**, then God is present to every part of the world (ax8) and God's experience changes with what happens in it (th4) --- 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.** About 12,500 warheads now exist; a full exchange could add an estimated 1--5 billion famine deaths through nuclear winter --- billions of *distinct* new experiences of suffering --- and it could happen by accident, in under an hour. - **No belief is required.** The argument shows what follows *if* the axioms hold; six traditions independently support the structure, and the formal system is public (Matheo-b11). The system is designed to be critiqued, not believed. #AuditTheMath ---- .. toctree:: :hidden: b11-form-pet-mmv5 b11-intro-pet-mmv5 b11-why-matheo-mmv5 .. ---------------------------------------------------------------------- .. VVN: dv_ClaOp48Max_MMv5_study-matheo-b11_2026m05d29 .. (generated by scripts/gen-matheo-floor.py --- do not hand-edit; edit the script.) .. ----------------------------------------------------------------------