.. meta::
   :description: Matheology applies axiomatic logic to theology, revealing where Jewish, Christian, and Islamic traditions converge once claims are stated precisely.
   :keywords: matheology, mathematical theology, axiomatic theology, formal logic, HEAVEN, HELL, SIN, LIE, Abrahamic convergence, interfaith, theological bugs
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :seo:title: Mathematical Theology — Formal Foundations for Dialogue
   :og:card:title: Mathematical Theology<br>— Where Faiths Converge
   :og:card:description: Three Abrahamic traditions waged war for millennia. Formal axioms and logic reveal where their core claims actually agree once stated precisely.

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   OO :og:card:title: Mathematical Theology<br>— Axioms, Common Ground
   OO :og:card:description: Applying math to theology — finding where traditions that waged war for millennia may actually agree once stated with sufficient clarity.
   PP :description: Matheology applies axiomatic logic to theology, revealing where Jewish, Christian, and Islamic traditions converge once claims are stated precisely.
   PP :keywords: matheology, mathematical theology, axiomatic theology, formal logic, HEAVEN, HELL, SIN, LIE, Abrahamic convergence, interfaith, theological bugs
   PP :og:card:title: Mathematical Theology<br>— Where Faiths Converge
   PP :og:card:description: Three Abrahamic traditions waged war for millennia. Formal axioms and logic reveal where their core claims actually agree once stated precisely.

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************************
Mathematical Theology
************************

Mathematical theology --- or *matheology* for short --- aims to apply the
rigorous methods of mathematics (axiomatic systems, formal logic, probability
theory) to theological questions. The goal is not to replace faith with
formulas, but to make theological claims precise enough to check for internal
consistency, to discover what follows from what, and to identify where
traditions that have waged war for millennia may actually agree once their claims
are stated with sufficient clarity.

This section is organized into two complementary parts:


HEAVEN --- The Constructive Recompile
=======================================

:doc:`HEAVEN <heaven/index>` (**H**\ onestly **E**\ xamining **A**\ xioms
**V**\ alidating **E**\ very **N**\ arrative) is the constructive effort:
rigorously recompiling theological foundations from first principles using
formal axioms, logic, and probability that integrate all known contributions from 
both Great Witnesses of God, the Works of God (as seen in nature) and the 
Words of God (as seen in prophetic revelations). Thus, HEAVEN
contains the explorations, axiom systems, and analyses of all kinds of 
revelations that build toward a shared mathematical framework. The goal
is to value internal consistency and mathematical elegance, 
based on the widely shared axiom that 
God is Truth, therefore cannot lie to God-self, and will have discovered 
the most elegant proofs long before anyone else (without a prejudice to 
how "time of discovery" can possibly apply here or not). 


HELL --- The Bug Database
===========================

:doc:`HELL <hell/index>` (**H**\ istorically **E**\ xperienced **L**\ essons
**L**\ earned) is the diagnostic counterpart: a public database of bugs found
in theological reasoning, documented as parables at multiple levels of detail.
Each entry identifies a **SIN** (Structurally Inconsistent Notion) arising from
a **LIE** (Least Inconvenient Explanation) and traces how it propagates through
generations of cached interpretation.


Matheology Table of Contents
==============================

.. toctree::
   :maxdepth: 2

   For Scientists <for-scientists>
   prior-art/index
   heaven/index
   hell/index
   axioms/index
   theorems/index
   Symbols <symbols/index>
   Naming for Depth <naming>
   pet/index
   jub/index
   model/index
   compiler/index
   StayVS </stayvs/index>
   /dict/index
   yaspyr/index
   socialcards/index


What comes next
=================

Much more work is needed --- refining the axioms, testing them for consistency
with automated theorem provers, extending them to cover the problem of evil,
free will, Trinitarian structure, and other core theological questions, and
engaging scholars from all three Abrahamic traditions in rigorous critique.

Further matheology content will appear here if there is sufficient
:doc:`/buy-in/index` for this work. 
The stakes are high as the box below illustrates.

Millennia of stored up resentments about theological questions have been 
leading to explosive eschatological "theodiversity" caused by 
people who believe whatever they may want to believe about God, each claiming to
be right, pointing to respective traditions or revelations,
regardless of what could possibly be true in a demonstrable 
mathematical sense. If the convergence across Jewish, Christian, and 
Islamic scripture documented in first explorations here are 
any indication, the potential for
building common ground is substantial.

If you believe that it is worth replacing eschatological warfare between nuclear 
and other nations with mathematical clarity, 
then please consider :doc:`supporting this work </buy-in/index>` 
towards scaling up a ResearchCity that can actually do it (see box below).
