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

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

composition

bridge

reflection

adjunction

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

• Full structure document
• Skill co-occurrence graph
• Energy dominance agenda

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.