first-principles

name	first-principles
description	This skill should be used when the user needs to solve complex problems using first principles thinking, break down problems to their fundamental truths, find creative solutions under constraints, or rethink problems from the ground up. Use when user asks about "第一性原理", "first principles", "本质思考", "拆解问题", "破局点", or when they need to overcome bottlenecks with limited resources.

First Principles Thinking (第一性原理思维)

Overview

This skill provides a systematic thinking framework for deconstructing problems to their fundamental truths and reconstructing solutions under constraints. Based on the SACL (Strip-Atomize-Constraint-Leverage) methodology, it helps you find asymmetric advantages when facing resource limitations (time, money, skills).

When to Use This Skill

Use this skill when:

• "Help me think about this using first principles"
• "How do I break down this complex problem?"
• "I don't have resources/money/time, how can I still solve this?"
• "What are the atomic units of [domain]?"
• "I'm stuck because I can't solve a sub-problem"
• "How to find leverage points in [situation]?"
• "第一性原理分析这个问题"
• "本质思考这个问题"
• "资源有限的情况下如何破局"

Core Framework: SACL

问题输入 (Problem)
    ↓
[S] 剥离层 (Strip) → 去除类比/惯例/历史路径
    ↓
[A] 基元化 (Atomize) → 拆解到不可再分的物理/逻辑单元
    ↓
[C] 约束映射 (Constraint) → 区分硬约束 vs 软约束
    ↓
[L] 杠杆重构 (Leverage) → 用现有资源重新组合基元
    ↓
行动输出 (Action)

The Four Tool Cards

Card 1: Strip (剥离层) — Zero-Point Thinking

Purpose: Clear path dependencies and industry conventions

Self-Check Triad:

1. If I were an alien just landing on Earth with no knowledge of existing solutions, how would I describe this problem?
2. What is physically happening behind the industry jargon? (e.g., "brand awareness" = strengthening synaptic connections between neurons)
3. Which elements are遗迹 (remnants) of solutions vs essence of the problem? (e.g., "websites need navigation bars" is a remnant, "users need to find information" is essence)

Tool: Write a "Taboo List" — list everything "everyone must do" in this industry, then cross each out and ask: "What happens if I don't do this?"

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Card 2: Atomize (基元化) — Find the LEGO Blocks

Purpose: Deconstruct until indivisible, but avoid over-decomposition (good enough is enough)

Atomic Unit Criteria:

• Cannot be substituted by combining other units (e.g., trust cannot be decomposed into other psychological units)
• Has clear mathematical/physical/logical boundaries (e.g., time, attention, bandwidth, entropy)

Quick Decomposition Formula:

Input [X] → through [Y] → transforms to [Z], consuming [Resource W]

Example (SEO Problem):

• X = User search intent (information gap)
• Y = Information matching algorithm (relevance calculation)
• Z = Attention dwell time (time exchange)
• W = Crawler budget + user decision energy

Key Insight: Algorithm weight (Y) is just an intermediary. The truly indivisible element is the direct match X→Z — this explains why Reddit answers outperform official articles (bypass Y's cold start period).

Domain Atomic Units Reference:

Domain	Atomic Units	Combination Rules
Physics	Energy, mass, information, spacetime, fundamental forces	Conservation laws, entropy increase, relativity constraints
Chemistry	Elements, chemical bonds, crystal defects	Electronegativity, orbital hybridization, thermodynamic equilibrium
Biology	DNA, cells, ATP, natural selection	Central dogma, dissipative structures, niche competition
Math	Sets, logic operations, functions, axioms	Associativity/distributivity, isomorphism, recursion
CS	Bits, Turing machines, logic gates, complexity	Turing completeness, information entropy, abstraction layers
Business	Transactions, trust, scarcity, time preference	Comparative advantage, marginal utility, network effects
Psychology	Perception, working memory (4±1 chunks), emotion, cognitive bias	Associative learning, reinforcement learning, cognitive dissonance
Sociology	Individuals, connections (strong/weak ties), consensus, power	Dunbar's number (150), structural holes, social identity

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Card 3: Constraint (约束映射) — Acknowledge Reality

Purpose: Distinguish "real obstacles" from "fake obstacles", turn real constraints into design parameters

Constraint Classification Table:

Hard Constraints (Physical/Logical)	Soft Constraints (Resources/Conventions)	Pseudo-Constraints (Cognitive Myths)
Time irreversibility	Limited funds	"Must build own traffic"
Finite attention	Single skill	"Must use professional PR"
Light speed/bandwidth limits	Limited connections	"Must have authority before doing SEO"
Thermodynamics (2nd law)	Geographic location	"Content must be on my domain"
Google sandbox period (6-12 months)	Zero budget	"Must pay for ads to promote"

Operation: Transform soft constraints into resource equations:

I have [A time] + [B skills] + [C existing assets], need to produce [D results]

Find: Non-linear leverage points — combinations where 20% resources yield 80% results

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Card 4: Leverage (杠杆重构) — Reassemble

Purpose: Build asymmetric advantages within constraints using atomic units

Four Leverage Patterns:

1. Platform Parasitism (借势能)

   • Don't build, just connect: use high-authority platforms as your "atomic units"
   • Check: Are my target atomic units flowing on this platform? (e.g., Reddit's attention flow)
   • Examples: Publish on Medium/Dev.to/Hashnode instead of waiting for your domain to rank

2. Time Arbitrage (换时差)

   • Trade what you have in abundance (time) for what others lack (immediacy)
   • Check: Can I do what others find too slow? (e.g., deep long-form articles, manual dataset compilation)
   • Examples: Write comprehensive guides while competitors chase quick wins

3. Atomic Substitution (找等价物)

   • Goal needs atomic unit A, but I have B. Can B be converted to A's input?
   • Example: No "ad budget" (A), but have "coding ability" (B) → build tools that generate natural backlinks (B→A conversion)

4. Constraint Flip (变限制为壁垒)

   • Your constraints are also others' constraints → establish expertise under that constraint to form a moat
   • Example: When everyone lacks ad budget, your SEO capability becomes a competitive advantage

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Practical Checklist

Before starting any problem-solving with first principles:

☐ Can I describe the minimum closed loop of this domain in one sentence?
   Example: Business = Value Creation + Value Capture

☐ Are there mathematically inviolable theorems?
   Example: Shannon limit in communication, Halting Problem in computation

☐ If all existing solutions were erased, which steps are absolutely essential to rebuild from stone age?
   (Remove historical path dependencies)

☐ Which "common sense" elements are actually analogies/metaphors rather than atomic units?
   Example: "Website authority" is analogy; "Eigenvector of link graph" is the atomic unit

Decision Tree: When You Encounter Unsolvable Sub-Problems

This sub-problem is:
├── Temporarily don't know, but can learn?
│   → Create learning plan, set deadline
├── Already solved by others, can acquire?
│   → Purchase / Partner / Outsource
├── Truly unsolvable (physical/logical limits)?
│   → Return to upper layer, modify decomposition path or goal
└── Solution cost too high, not worthwhile?
    → Find alternative solutions or narrow problem scope

Quick Reference: Meta-Leverage Matrix

Match your available resources to strategy:

Your Resource	Leverage Strategy	Avoid
Abundant time	Do depth, automation, long-term assets	Manual grunt work (e.g., 1000 forum posts)
Coding ability	Tools generate content/data for natural spread	Pure tech blogs (unless solving specific problems)
Strong writing	Write "answers" on platforms, "systems" on your site	Stack articles on low-traffic site waiting for visitors
Weak connections	Use "data/insights" as social currency instead of networking	Cold email asking for shares (no trust atomic unit)

Core Philosophy

First principles doesn't make you omniscient — it makes you the optimal designer under specific constraints.

Your limitations ("can only write articles and build small tools") are not flaws — they are precisely defined design parameters. With these parameters, you can design solutions that large companies cannot replicate (because they have budgets and disdain for this kind of "time-for-space dirty work").

Example Application: Zero-Budget SEO

Problem: New website, no authority, zero budget, only time and coding skills

Running SACL Framework:

S (Strip):

• Cross out "SEO = creating content on my own site"
• Cross out "Promotion = buying ads"
• Essence: In the information deluge, match specific demanders with my solution

A (Atomize):

• Demander unit: Search keywords (active seeking) vs social feeds (passive discovery)
• Meeting unit: Trust transfer (through intermediary endorsement) vs direct discovery (algorithm match)
• Your asset units: Code-generated tools (scalable) + explanatory ability (text)

C (Constraint Mapping):

• Hard constraint: Google sandbox period (6-12 month authority accumulation)
• Soft constraint: Zero budget → convert to "must acquire attention through non-monetary exchange"
• Pseudo-constraint busted: "Content must be under my domain" → change to "Content must be under my control AND can drive traffic"

L (Leverage Reconstruction):

• Selected leverage: Platform parasitism + atomic substitution
• Specific solution:
  1. Use coding to scrape high-frequency questions on Reddit/Zhihu (automate time investment)
  2. Write "code solutions to problems" on Dev.to/Medium (parasitize high-authority platforms)
  3. Open-source tools on GitHub (trade code for backlinks, substitute buying links)
  4. Article footer: "Full toolkit on my site" (traffic funnel, not direct SEO)

Usage Ritual

Turn this framework into a template. When facing any difficult problem:

1. Spend 5 minutes filling out S-A-C-L four cards
2. If stuck, decomposition isn't deep enough (return to A, ask: what is this physically?)
3. If too many solutions, constraints aren't clear (return to C, mark hard constraints in red)

Key mindset: Knowing what you cannot do is equally important as knowing what you can do.