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
Tag: triangles
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
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
Holarchy concepts
The Radix Bridge: Unveiling the Mystery of Duality in 4QX
At the heart of 4QX lies a profound mystery: how does a single, shared pathway—the edge between outer-form (TL) and outer-flux (TR)—hold the key to the eternal dance
Holarchy concepts
Idempotence in Patterns and Markets: Evolving Collectives from Opposite Modalities
How the 4QX dual‑triangle engine uses commutative unions to let the “many” continuously heal and refine the “one.” 1. Why idempotence matters In 4QX, every flow is ultimately a