.. meta::
   :description: Plain-English guide to BEST Names: how pet-ax5 encodes model, type, and number, how five dimensions organize content, and how to contribute to HELL.
   :keywords: BEST Names, 5D link naming, pet-ax5, model, type, version, depth, view, PoR, Seed Feed Grow Reap, HELL register, contribution guide, matheology
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :og:card:title: 5D Link Naming —<br>Plain-English Introduction
   :og:card:description: How pet-ax5 becomes pet-ax5-easy-vjud-oov2. A beginner-friendly walkthrough of the BEST Names system and how to contribute to HELL.

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   OO :description: A plain-English walkthrough of how BEST Names labels work, what the five dimensions are, and how content flows through the system.
   OO :keywords: 5D, link naming, BEST Names, introduction, labels, dimensions, model, type, depth, view, version, matheology
   OO :og:card:title: Introduction to 5D<br>Link Naming
   OO :og:card:description: A beginner-friendly guide to the BEST Names system that gives every piece of matheology content a stable, readable label.
   PP :description: Plain-English guide to BEST Names: how pet-ax5 encodes model, type, and number, how five dimensions organize content, and how to contribute to HELL.
   PP :keywords: BEST Names, 5D link naming, pet-ax5, model, type, version, depth, view, PoR, Seed Feed Grow Reap, HELL register, contribution guide, matheology
   PP :og:card:title: 5D Link Naming —<br>Plain-English Introduction
   PP :og:card:description: How pet-ax5 becomes pet-ax5-easy-vjud-oov2. A beginner-friendly walkthrough of the BEST Names system and how to contribute to HELL.

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.. _link-5d-naming-intro:

*****************************************************
Introduction to 5D Link Naming for Matheology
*****************************************************


1. What is this and why should I care?
========================================

Imagine hundreds of axioms, theorems, objections, and responses spread
across multiple models and worldviews. Some are written for experts,
some for beginners. Some present an axiom from a Jewish perspective,
others from a secular one. How do you find anything? How do you know
what connects to what? How do you make sure nothing gets lost as the
system grows from dozens of elements to thousands?

The BEST Names system is the answer. It gives every piece of content
a short, consistent label that humans can read and machines can parse.
BEST stands for **B**\ rief, **E**\ xplicit, **S**\ ummarizing,
**T**\ itle --- four naming layers, from a compact code (``pet-ax1``)
to a full display title (ax1 --- Containment). If you can read a postal
address, you can read a BEST label.


2. A label in 60 seconds
==========================

Take ``pet-ax5``. Three pieces, separated by hyphens:

- ``pet`` = the **model**. Pet stands for Pan-En-Theistic --- the
  foundational axiom system (ax1--ax14) that formalizes the claim "all is
  in God, but God exceeds all."
- ``ax`` = the **type**. This is an axiom --- a statement assumed true
  without proof.
- ``5`` = **which one**. Axiom number 5: Necessary Divine Existence.

That is the whole label. Model, type, number. Now watch it extend:

- ``pet-ax5-easy`` = the same axiom, explained for beginners
- ``pet-ax5-vjud`` = the same axiom, seen through a Jewish lens
- ``pet-ax5-oov2`` = the same axiom, frozen at version OOv2

You build up from simple to specific, one hyphen at a time. The core
label (``pet-ax5``) always points to the canonical, most comprehensive
page for that element. Everything else is a suffix that narrows the
view.

A few more examples to build your intuition:

- ``pet-ax5-logic`` = what logic framework does axiom 5 use?
- ``jub-th8`` = Jub Theorem 8 (from the Jubilee extension model)
- ``jub-con11`` = the 11th objection registered in HELL
- ``pet-ax-ff`` = FeedbackFlow collection for all Pet axioms


3. The five dimensions
========================

Every label can be located in a five-dimensional space. Not every
combination exists as a page, but any valid combination gets a unique,
collision-free address.

**D1 --- Model: Which axiom system?**

A model is a registered set of axioms. ``pet`` is the Pan-En-Theistic
foundation (ax1--ax14). ``jub`` is the Jubilee extension (ax15--ax25),
which adds axioms about human agency and divine delegation. ``4be`` is
a future model, reserved but not yet active. Without this dimension, you
could not tell which system an axiom belongs to --- and systems can
overlap, extend, or diverge. (See the full model registry in the
:ref:`AHA doc, Section 4 <compiler-5d-link-naming>`.)

**D2 --- Element: What is it, and what about it?**

This is the heart of the label. ``ax`` means axiom. ``th`` means
theorem. ``con`` means objection. ``pro`` means response. You can chain
types to ask specific questions: ``pet-ax5-logic`` chains ``ax5`` with
``logic`` to ask "what logic does axiom 5 use?" Without this dimension,
you would have names but no way to say *what kind of thing* you are
naming. (See the
:ref:`full D2 registry <compiler-5d-link-naming-d2-type-id-registry>`.)

**D3 --- Version: Which frozen snapshot?**

When the system reaches a milestone, it freezes a version. ``oov1`` is
Original Objections Version 1. ``oov2`` is Version 2. A versioned label
like ``pet-ax5-oov2`` will never change --- it is an immutable record.
Without this, you could not cite a specific state of the system with
confidence that it will still say the same thing next year.

**D4 --- Depth: For which audience?**

The same axiom can be presented at different levels. The default is
expert (full synthesis for researchers). ``easy`` is for beginners.
``prod`` is for teachers and communicators. ``math`` is a formal
extraction for mathematicians. Without this, a beginner would always
land on the expert page, and an expert would wade through simplified
explanations.

**D5 --- View, Source, and Language: Which perspective?**

Three prefixes partition this dimension. ``v`` + 3 letters = a
**worldview** tradition (``vjud`` for Judaism, ``visl`` for Islam,
``vsec`` for secular philosophy). ``s`` + 3 letters = a **source**
text (``stor`` for Torah, ``squr`` for Quran). ``l`` + 2 letters = a
**language**-specific cultural insight that resists translation (``lde``
for German, ``lhe`` for Hebrew). Without this, you could not
systematically explore how different traditions and languages illuminate
the same axiom.


4. The PoR --- one axiom, fully dressed
=========================================

Behind every short label is a rich, structured page called a **PoR**
(Place of Reasoning). Think of the label as a street address and the PoR
as the house behind it.

Here is what the house looks like for ``pet-ax1`` --- the foundational
axiom "Containment" ("The world is part of God"):

- **BriefName** (``id``): ``pet-ax1`` --- the compact label you use in
  links and code.
- **Title**: "ax1 --- Containment" --- the display heading.
- **SummarizingName** (``sum``): "The world is part of God" --- a
  one-line statement of what the axiom claims.
- **FormalMathLatex** (``latex``): :math:`W \leq G` --- the
  mereological parthood relation, saying W (world) is part of G (God).
- **LogicsUsed** (``logic``): Mereology + S5 modal logic --- what
  formal framework applies and what it can express.
- **SupportTorah** (``stor``): Deut 4:39 ("God in heaven above and
  earth beneath") --- a citation with a hint explaining *why* the
  passage matters.
- **ViewSecular** (``vsec``): "We are parts of a whole that exceeds
  any part" --- how secular philosophy frames the same idea.
- **AnyAim** (``aa``): current tasks and next steps for this axiom.

Each PoR can hold 40+ fields like these. You do not need to read them
all. The system shows different subsets depending on your audience
depth: at ``easy`` depth, you see the summary and a single strong
citation; at expert depth, the full technical apparatus appears.

For the complete field list, see the
:ref:`PoR Fields Registry <compiler-5d-link-naming-por-fields-registry>`.


5. How content flows: Seed, Feed, Grow, Reap
===============================================

Matheology grows by iterative cultivation, not by decree. The audit
cycle follows an agricultural rhythm:

**Seed** --- Prepare the ground. Define the scope of a review: which
axioms, which models, what kind of scrutiny. Write it down before
anyone starts, so the intent is on record.

**Feed** --- Expose the work to challenge. Let critics, colleagues,
and adversarial agents test the axioms. Every objection is nourishment,
not attack --- it shows where the roots are shallow. You do not need
expertise in modal logic to notice that an argument feels wrong or that
a tradition has been misrepresented. Those observations are among the
most valuable nutrients in the field.

**Grow** --- Extract the findings. Each genuine objection gets a
permanent ``con`` number; each response gets a ``pro`` number. Assess
honestly: mark each finding HELD (the system withstood the challenge)
or BREACH (something must change). A BREACH is not failure --- it is
the system getting stronger.

**Reap** --- Gather what you have learned. Walk through the objections
and responses, decide what changes are justified, and identify scope
for the next cycle. Each season builds on the last.

For the full lifecycle description, see
:ref:`Section 16 of the AHA doc <compiler-5d-link-naming-reap-design-fruits>`.


6. HELL is not what you think
================================

HELL stands for **H**\ istorically **E**\ xperienced **L**\ essons
**L**\ earned. It is a public register of bugs found in theological
reasoning --- modeled after software engineering's bug databases.
The idea: when one tradition discovers a flaw, every other tradition
should be able to learn from it without repeating the pain.

Objections are treasured here, not feared. Every ``con`` (objection)
gets a permanent address and a matched ``pro`` (response). For example,
:ref:`jub-con11` challenges whether Theorem 8's claim of bistability is
actually proven or merely asserted --- a serious mathematical gap. The
matched :ref:`jub-pro11` responds with a formal dynamical-systems
argument showing why oscillations cannot persist in finite systems. The
pair stays linked forever, so future readers can see both sides and
judge for themselves.

If you find something wrong, that observation has a permanent home.


7. How to contribute
======================

You do not need a PhD to help. Three entry points:

a. **Read and react.** Pick any axiom, read it, and if something feels
   wrong or unclear, that observation is valuable. Use the FeedbackFlow
   (``ff``) link at the bottom of most pages to send your reaction
   directly.

b. **Check a source.** If you know a tradition well --- Torah, Quran,
   Buddhist sutras, secular philosophy --- check whether the citations
   are accurate and whether better ones exist. Source accuracy is where
   deep knowledge of a tradition makes a direct difference.

c. **Ask a hard question.** The most valuable contributions to HELL are
   honest objections. The system is designed to welcome them. A good
   objection, clearly stated, strengthens everything it touches.


8. Where to go next
=====================

- :ref:`The full 5D Link Naming doc <compiler-5d-link-naming>`
  --- the complete technical reference for the naming architecture.
- :doc:`Pet axioms (A1--A14) </matheology/pet/axioms>` --- start
  reading the foundational axiom system.
- :doc:`Jub axioms (A15--A25) </matheology/jub/axioms>` --- the
  Jubilee extension covering agency and delegation.
- :doc:`HELL register </matheology/hell/index>` --- see objections and
  responses in action.
