• CORE
  • DRIVERS
  • LOGIC
  • HUMAN

How to decompose complex systems with your AI

Connect Archimedes First Principles Prover to your AI client to strip away assumptions and find the core drivers of any problem.

Ask AI about this page

Short answer

How do I break down a massive problem using AI?

Your AI uses first principles to strip a problem down to its most basic, undeniable truths. This process removes surface-level noise and reveals the specific variables that dictate the outcome. You get a map of the fundamental drivers of your system.

The results of the breakdown.

Where every insight lands.

Once the AI processes your system, you'll have these specific outputs.

CORE

Irreducible truths

The AI identifies the fundamental facts that cannot be broken down further. You get a list of the bedrock components of your problem.

DRIVERS

High-impact variables

The AI isolates the specific levers that move the needle. You'll know exactly which parts of the system dictate the final result.

LOGIC

Assumption audit

The AI flags any reasoning based on analogies or conventions rather than facts. This highlights where your current strategy might be flawed.

HUMAN

Strategic direction

The AI provides the raw components, but you decide how to build a new solution from them. You retain control over the final creative or strategic direction.

The workflow

What your AI does when a problem arrives.

The AI moves from broad complexity to granular certainty.

  1. Deconstruction

    The AI takes your monolithic description and breaks it into its smallest logical parts. It looks for the foundational elements that make up the whole.

    validate_archimedes_first_principles

  2. Validation

    Each component is checked against first principles to ensure it is a true building block. This step filters out assumptions and secondary effects.

    validate_archimedes_first_principles

  3. Variable Isolation

    The AI identifies which of these irreducible parts are the primary drivers. It separates the causes from the symptoms.

    validate_archimedes_first_principles

  4. Logic Mapping

    The AI organizes these drivers into a clear structure. You receive a logical map of how the system actually functions.

    validate_archimedes_first_principles

Try it

Copy these to start.

Use these prompts to begin the decomposition process.

Starting points

These are ways to kick off the process. Swap the bracketed text for your specific situation.

Archimedes First Principles Prover Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_2aOcxzAi99p47ps29WeUcelnKLtoigQu9RxaugQl/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Archimedes First Principles Prover capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "archimedes-first-principles-prover-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_2aOcxzAi99p47ps29WeUcelnKLtoigQu9RxaugQl/mcp"
    }
  }
}
Copy into chat04

  • Decompose this supply chain bottleneck in my warehouse into its first principles.

  • Break down the user churn in my SaaS product to find the irreducible drivers.

  • Apply first principles to this marketing budget allocation to see what actually drives growth.

  • Analyze this software architecture to identify the fundamental constraints.

  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Start here

Connect Archimedes First Principles Prover once, then ask.

One connection gives your AI access to these reasoning tools. The setup is handled on our end, and you can start prompting immediately.

Connect Archimedes First Principles Prover to your AI

FAQ

How the decomposition works

  • 01

    Can the AI solve the problem for me?

    No. The AI breaks the problem down into its core parts, but you must decide how to act on those parts.

  • 02

    Does it work with any complex system?

    Yes, as long as you can describe the system's components and how they interact.

  • 03

    Will the AI change my existing data?

    No. The AI only reads your descriptions to perform the analysis. It cannot modify your files or databases.

  • 04

    How does it handle assumptions?

    It specifically looks for reasoning that relies on how things are usually done and flags them as non-fundamental.

  • 05

    Can it create a new business plan?

    No. It can provide the logical foundation for a plan, but the actual creation of the plan is a human task.

  • More questions about Archimedes First Principles Prover? The Connector page answers them. See everything the Archimedes First Principles Prover Connector can do

Connect Archimedes First Principles Prover to Claude, Cursor, ChatGPT & more