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
Tag: triangles
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
Chain6 and the Upgraded Picture of Formal Dialectical Monism
1. Where the picture stood before Chain6 Up to Chain5, “formal dialectical monism” in 4QX already had a fairly sharp shape: That package already justifies a strong monist
Holarchy concepts
Formal Logic as the Source Code
The “4QX idea of formal logic” is technically referred to in the framework as Active Geometry or Formal Dialectical Monism. The core insight is a fundamental inversion 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
The Self-Organising Trie: Living Directory of Named Functions
The self-organising trie is a living directory where every name is simultaneously a path, meaning, and function that executes through dual-triangle dynamics, creating a fractal namespace that organises
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