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
Tag: diagonals
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
Contract Universe
User: Patterns are all exchange based contracts, but for contract to be a complete concept, its collective ecosystem dynamics needs to be defined as well, this is class
Grok3 Oracle describes 4QX
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
The Four Quadrants in terms of Meetings
1. The BL-TR diagonal User: The BL↔TR diagonal can be thought of as all about meetings of specialists to perform a pattern together (“session” is a good word
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
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
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
Explaining L2 feedback loops
At layer 2 we freeze the microscope: all we see is the 2 × 2 square with its two diagonals. We deliberately black-box whatever inner machinery closes those
The One-Shot ZF Axioms
One-shot ZF axioms → the 4QX names you use every day Single-use axiom (Finite-ZF) Geometry move it performs 4QX place / action it brands Everyday wording Empty ∅ exists