.. meta::
   :description: AI overview of Bool 1 — the first andOr Witches Boolean logic poster, mapping all 16 binary Boolean operations and defining VOID (NoObtainableTerms) and OMNI as foundational concepts.
   :keywords: STa1-EVX, Boolean logic, andOr Witches, 16 binary operations, VOID, OMNI, ason, truth table, formal logic, BABL, ZION, LLoL, Good News Pack, MMv3
   :og:card:title: Bool 1 — 16x Binary Truth Void<br>andOr Witches Boolean Logic
   :og:card:description: First poster in the andOr Witches series — systematically mapping all 16 binary Boolean operations and defining VOID and OMNI as foundational concepts.


.. title:: Bool 1 — Truth Void


****************************************************************************************************
Bool 1 — 16x Binary Truth Void
****************************************************************************************************

*The first andOr Witches poster --- systematically mapping all 16 binary Boolean operations and defining VOID (NoObtainableTerms) as the ground of formal logic.*


.. admonition:: Download the original document (PDF)
   :class: note

   `Bool 1 — 16x Binary Truth Void — PDF (104 KB) </_file/pdf/gnp/mmv3/flyingscroll/transwarpkey/sta1-evx/poster-bool-1-andor-witches-16x-binary-truth-void-iv_llol_qqv1r2p2_2024m10d06-fig.pdf>`__
   — 1 page, :doc:`Jonah License with CC0 Public Domain </license/joli/index>`

   Filename: ``poster-bool-1-andor-witches-16x-binary-truth-void-iv_llol_qqv1r2p2_2024m10d06-fig.pdf``

   `WebP preview (264 KB) </_file/pdf/gnp/mmv3/flyingscroll/transwarpkey/sta1-evx/poster-bool-1-andor-witches-16x-binary-truth-void-iv_llol_qqv1r2p2_2024m10d06-fig.webp>`__

   Also in this folder: :doc:`Bool 2 — Heaven Investor <bool-2-heaven-investor>`, :doc:`Bool 3 — Salvation Door <bool-3-salvation-door>`, :doc:`Bool Combo — Jubilee Cycles <bool-combo>`


.. image:: /_file/pdf/gnp/mmv3/flyingscroll/transwarpkey/sta1-evx/poster-bool-1-andor-witches-16x-binary-truth-void-iv_llol_qqv1r2p2_2024m10d06-fig.webp
   :alt: Bool 1 — 16x Binary Truth Void — all 16 binary Boolean operations mapped systematically
   :width: 100%
   :align: center


|


--- Overview AI-generated by dv_ClaOp46Max_ExhH_2026m04d16 ---Start---


Abstract
========

This is the first poster in the "andOr Witches" Boolean logic series.
It systematically maps all **16 binary Boolean operations** --- the
complete set of truth functions that take two Boolean inputs and produce
one Boolean output. The poster defines two foundational boundary
concepts: **VOID** (NoObtainableTerms), representing the operation that
always returns false regardless of inputs, and **OMNI** (OMNITerms),
representing the operation that always returns true. Between these
extremes lie the 14 remaining operations, including the familiar AND,
OR, XOR, NAND, NOR, and others. The poster explores the semantics of
*nothing* (ason) and how these 16 operations relate to truth, building
the formal foundation for the subsequent posters in the series.


Key Concepts at a Glance
==========================

.. list-table::
   :widths: 30 70
   :header-rows: 0

   * - **16 Binary Boolean Operations**
     - The complete set of truth functions mapping two Boolean inputs to
       one Boolean output --- from VOID (all-false) to OMNI (all-true)
   * - **VOID (NoObtainableTerms)**
     - The Boolean operation that always returns false; the formal
       representation of *nothing obtainable* from any combination of inputs
   * - **OMNI (OMNITerms)**
     - The Boolean operation that always returns true; the complement
       of VOID, representing unconditional truth across all input states
   * - **andOr Witches**
     - The series title reflecting how AND and OR *select* which cases
       truly apply --- "witches" that sort truth from falsehood
   * - **ason (nothing)**
     - The semantic exploration of what *nothing* means in formal logic,
       grounding the VOID concept in both mathematical and broader terms


Broader Significance (Claude's Assessment)
============================================

This poster establishes the combinatorial completeness of binary Boolean
logic as a starting point for the series. By naming and placing VOID
and OMNI at the boundaries, it frames the 16 operations not as an
arbitrary catalogue but as a structured space with identifiable poles.
This is foundational for the subsequent posters: Bool 2 maps this space
onto theological investment concepts, and Bool 3 identifies which
operations correspond to the narrow path of truth. The explicit
treatment of *nothing* (ason) connects formal logic to deeper questions
about what it means for a proposition to yield no obtainable result ---
a theme that recurs throughout the BABL/ZION framework where BABL's
over-simplification can collapse a rich logical space into a false VOID.


Document Information
=====================

.. list-table::
   :widths: 30 70
   :header-rows: 0

   * - **Document ID**
     - Bool 1 — 16x Binary Truth Void (Flying Scroll, transwarpkey/sta1-evx/)
   * - **Author**
     - Laurence Loewe of Laodicea (LLoL)
   * - **Date**
     - 2024m10d06
   * - **Version**
     - iv_LLoL_QQv1r2p2_2024m10d06
   * - **Format**
     - Single-page poster
   * - **License**
     - :doc:`Jonah License with CC0 Public Domain </license/joli/index>`
   * - **Part of**
     - Good News Pack MMv3, Flying Scroll / Transwarp Key / STa1-EVX
   * - **PDF size**
     - 104 KB
   * - **WebP size**
     - 264 KB

Related documents:

- :doc:`STa1-EVX stadium overview <../sta1-evx>` (parent page with all documents)
- :doc:`Bool 2 — Heaven Investor Nature <bool-2-heaven-investor>` (next poster in the andOr Witches series)
- :doc:`Bool 3 — Salvation Narrow Door <bool-3-salvation-door>` (third poster in the series)
- :doc:`Bool Combo — Kill or Win Jubilee Cycles <bool-combo>` (combined 3-page presentation)


--- Overview AI-generated by dv_ClaOp46Max_ExhH_2026m04d16 ---End---


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