Relational Thinking Skill Skill

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

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.

Agent Skills: Relational Thinking Skill

Install this agent skill to your local

Skill Files