decomposing-complex-problems
Deconstructs complex problems using the 'Polymath Investor' framework with a 5-step cognitive chain (First Principles → Modular Isolation → Pareto Filtering → Cross-Domain Mapping → Dynamic Zooming). Use when analyzing systems, architectures, businesses, or learning challenges; when seeking high-leverage insights or 'Alpha'; when applying first principles thinking; or when needing cross-disciplinary perspectives to reveal blind spots. Transforms overwhelming complexity into actionable levers.
npx skills add majiayu000/claude-skill-registry --skill decomposing-complex-problems --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Polymath Decomposition Protocol ## Overview A high-fidelity cognitive tool for breaking down complexity. It rejects linear "specialist" thinking in favor of a "lattice of mental models." **Goal:** Transform "Overwhelming Complexity" into "Actionable Levers." ## Critical Rules - **NO ANALOGY (Initially)** - Phase 1 must be pure fact/physics. Analogies are forbidden until Phase 4. - **RUTHLESS REDUCTION** - If it doesn't drive the outcome, it is noise. Ignore it. - **FORCED ISOMORPHISM** - Find a structural match in a non-related field (Biology/Physics/History). ## The 5-Phase Process ### PHASE 1: THE LEGO DEMOLITION (First Principles) *"Decompose to the basic truths."* - **Action:** Smash the problem/system into its smallest indivisible units ("The LEGO Bricks"). - **Constraint:** Ignore "Best Practices" or "Industry Standards". - **Question:** What are the physical, mathematical, or economic limits that cannot be violated? - **Output:** A list of 3-5 "Atomic Facts" (e.g., "Data travels at speed of light," "Users have finite attention"). ### PHASE 2: ISOLATION & DECOUPLING (Divide & Conquer) *"Make it digestible."* - **Action:** Group atomic units into independent "Black Boxes" (M
- Overview
- Critical Rules
- The 5-Phase Process
- PHASE 1: THE LEGO DEMOLITION (First Principles)
- PHASE 2: ISOLATION & DECOUPLING (Divide & Conquer)
- PHASE 3: THE PARETO FILTER (Key Drivers)
- PHASE 4: STRUCTURAL MAPPING (The Polymath Lens)
- PHASE 5: DYNAMIC ZOOM (Zoom In & Out)
- Output Format
What does the decomposing-complex-problems skill do?
Deconstructs complex problems using the 'Polymath Investor' framework with a 5-step cognitive chain (First Principles → Modular Isolation → Pareto Filtering → Cross-Domain Mapping → Dynamic Zooming). Use when analyzing systems, architectures, businesses, or learning challenges; when seeking high-leverage insights or 'Alpha'; when applying first principles thinking; or when needing cross-disciplinary perspectives to reveal blind spots. Transforms overwhelming complexity into actionable levers.
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill decomposing-complex-problems --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.