relational-thinking

star 25

Intent taxonomy and morphisms across 15 amp threads

plurigrid By plurigrid schedule Updated 2/16/2026

name: relational-thinking description: Intent taxonomy and morphisms across 15 amp threads trit: 0 probe: "bb -e '(println "6 intents × 15 threads × 18 morphisms = GF(3) balanced")'"

Relational Thinking Skill

"Structure is the invariant under transformation."

Overview

This skill provides a relational thinking structure that organizes 15 amp threads into 6 intent clusters with explicit morphisms between them. All clusters maintain GF(3) conservation.

Intent Clusters

Cluster Trit Threads Key Bridge
Triadic Algebra -1 3 SHA3 ↔ GF(3) ↔ PlusCode
Skill Orchestration 0 3 443 skills ↔ OSIS ↔ triplets
Energy Policy +1 2 SMR ↔ Plurigrid ↔ dominance
Topological ASI 0 2 26 worlds ↔ Unworld ↔ Narya
System Introspection -1 2 PID ↔ radare2 ↔ process
Implementation +1 3 Zig ↔ MCP ↔ wallet

GF(3) Triads

Core:  Triadic(-1) ⊗ Skill(0) ⊗ Energy(+1) = 0
Meta:  System(-1) ⊗ Topo(0) ⊗ Impl(+1) = 0

Thread Mapping

Triadic Algebra (-1)

  • amp-thread-sha3-conversion-gf3-conservation.md (148 msg)
  • amp-thread-gf3-geographic-ripple-repl.md (79 msg)
  • amp-thread-prime-length-plus-code-frontrun.md (151 msg)

Skill Orchestration (0)

  • amp-thread-skill-orchestration-framework.md (51 msg)
  • amp-thread-skill-analysis-ssh-hatchery.md (123 msg)
  • amp-thread-push-skills-enable-uv-uvx.md (19 msg)

Energy Policy (+1)

  • amp-thread-energy-dominance-agenda-synthesis.md (70 msg)
  • amp-thread-energy-dominance-co-occurring.md (35 msg)

Topological ASI (0)

  • amp-thread-topological-superintelligence-readme.md (144 msg)
  • amp-thread-find-aptos-society-zubyul.md (115 msg)

System Introspection (-1)

  • amp-thread-locate-process-in-parent-pid-tree.md (47 msg)
  • amp-thread-find-process-in-pid-tree-with-parent.md (102 msg)

Implementation (+1)

  • amp-thread-zig-benchmark-compilation-error.md (94 msg)
  • amp-thread-mcps-per-letter-wallet-count.md (149 msg)
  • amp-thread-zubyul-skill-implementation.md (24 msg)

Morphism Types

Type Description Example
composition A → B → C SHA3 → Geographic → PlusCode
bridge Cross-cluster Triadic → Skill (balance constraint)
reflection Self-loop Zubyul ↔ Zubyul (implementation feedback)
adjunction Free/Forgetful Energy ⊣ Policy

Usage

Query Cluster

# Find threads in a cluster
grep -l "GF(3)" ~/amp-thread-*.md

# Count by intent
ls ~/amp-thread-*.md | wc -l  # 15

Load into DuckDB

ATTACH '~/relational_thinking.duckdb' AS rt;

CREATE TABLE rt.clusters AS
SELECT * FROM read_csv_auto('~/relational-thinking-skill-structure.md');

Navigate Morphisms

;; Babashka navigation
(def morphisms
  {:triadic->skill :balance
   :skill->energy :coexist
   :energy->topo :smr
   :topo->system :world
   :system->impl :binary
   :impl->triadic :verify})

(defn walk-cluster [from]
  (get morphisms (keyword (str (name from) "->skill"))))

Related Skills

  • triadic-skill-orchestrator - Orchestrates skills in GF(3) triplets
  • glass-bead-game - Interdisciplinary synthesis
  • autopoiesis - Self-modifying configuration
  • gay-mcp - Deterministic color generation
  • world-extractable-value - Nash/Optimal gap quantification

See Also


Autopoietic Marginalia

The interaction IS the skill improving itself.

Every use of this skill is an opportunity for worlding:

  • MEMORY (-1): Record what was learned
  • REMEMBERING (0): Connect patterns to other skills
  • WORLDING (+1): Evolve the skill based on use

Add Interaction Exemplars here as the skill is used.

Install via CLI
npx skills add https://github.com/plurigrid/asi --skill relational-thinking
Repository Details
star Stars 25
call_split Forks 7
navigation Branch main
article Path SKILL.md
More from Creator