How 4QX is underpinned by ZF set theory and the von Neumann hierarchy — why that matters, and what it means 4QX takes the hereditarily finite von Neumann
Tag: quadrants
Holarchy concepts
The Metabolism of Structure
In 4QX, “structure” is whatever can contain.A structure is a boundary that creates an inside/outside distinction. Once you take that seriously, the whole square snaps into place. The
Holarchy concepts
Meaning as Geometric Position
In 4QX, a thing’s meaning is determined by (i) which corner it lives in, and (ii) which permitted edges/phases are allowed to move it. Content doesn’t inherently “mean”
Holarchy concepts
The Geometry of “Doing”: Why 4QX is Hard-Wired for Reality
In systems design, we often treat our basic operations—create, read, update, delete—as arbitrary tools in a toolbox. We pick them up when convenient. But what if the operations
Holarchy concepts
4QX Structure & Recursion post Greenfield
Scope: This document restates structure, recursion, Pow, Union, and the six-phase cycle purely from an algorithmic tree (trie) perspective, using the Field Lens semantics (FocusMeasure/FieldWalker/FieldGO).It is intended to
Holarchy concepts
From Token Windows to Holarchy Slices
How 4QX Handles Long Conversations and Deep Hierarchical Work Without Losing Coherence Modern “context engineering” often gets framed as a single question: how do we squeeze more of
Holarchy concepts
Feedback Loops: How Opposite Signs Define Individual and Collective
The dual triangles have opposite feedback signs. This determines the nature of the relationship between individual and collective, which in turn determines the meaning of the quadrants themselves
Holarchy concepts
Transpose Duality
A structural symmetry of the 4QX square: the pair‑of‑teloi view (2×3) and the triple‑of‑edges view (3×2) are the same object seen from opposite sides, related by an involutive
Holarchy concepts
Generic Organisation concept: post-proof version
How contexts use patterns—safely, recursively, and in a way that compounds into a co‑created library and idempotent market Generic Organisation describes how any context with an objective uses
Holarchy concepts
Epistemic Grounding Achieved: The 4QX Lean Proof Project
Date: 22 August 2024Status: Major milestone completed 🚀 🚀 🚀Team: Development and Philosophy alignment Executive Summary We have achieved a complete epistemic grounding for the 4QX project through