1. Overview of 4QX 4QX is a formal, finite, and machine-verifiable framework derived from a minimal fragment of Zermelo-Fraenkel set theory (Finite-ZF) that aims to provide a foundational
Tag: triangles
Holarchy concepts
Combined Feedback
User: In the class loop BR->TL is where local pattern performance metrics feed back to refine the collective pattern. But the individual learns from and uses these local
Holarchy concepts Uncategorized
Continuation in the Multiplex
User: Every atomic timeslot in the multiplex receives focus only once, so the only continuity is what the self (self organisation) now projects into the future (although a
Holarchy concepts
Unfolding the 4QX Holon
User: Holons are agentic autonomous sovereign individuals in a shared arena. Holons interact with the shared environment and this takes the form of a feedback loop process where
Holarchy concepts
Holarchy × Austrian Economics × Taoism
How three very different traditions describe the same two-way dance of reality. 1. The shared intuition: order grows both upward and downward These three lenses all report the
Holarchy concepts
The Dual Teloi are the Minimal Cybernetic Pair
Cyber-loop Three-step program What it is trying to perfect Class triangleTL → TR → BR → TL 1 Blueprint (TL) → 2 Burn (TR) → 3 Measure (BR)
Holarchy concepts
The Dual Triangles as a Platonic Form of Being
User: Regardless of which path we take we arrive at the dual-triangles which are a definite dynamic closure – a space-time structure-function fractal multiplex in which self continuously
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From Square Balance to Telic Thread
1. The 2 × 2 stage: pure polarity Axis Meaning Corners it splits Outer ↔ Inner (perspective) public surface vs. private locus top ↔ bottom Form ↔ Flux (modality)
Holarchy concepts
Finite‑ZF Monad — the Perfect Ontology for 4QX
The finite‑ZF constructor monad is the leanest formal language in which a system can describe and transform itself while remaining grounded in well‑founded finiteness. By treating the six
Holarchy concepts
Gödel Numbers as Living Axioms
The 4QX dual‑triangle lattice does more than illustrate finite‑ZF’s six constructors; it animates them. Each constructor‑edge both executes a set‑theoretic rewrite and extends its own Gödel trace, collapsing