
Connect Archimedes First Principles Prover to your AI
Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Forces your AI agent to prove every conclusion, not just assert it.
Developed, maintained, and hosted by Vinkius.
MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED
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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.
Your AI does the work. We keep it safe and sound.
No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.
Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

Each Connector runs inside its own sealed environment.
Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.
One switch stops every agent. Instantly.
One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.
Spending limits that pause instead of surprise.
Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.
Three controls, built into the layer your AI connects through.
Curated set · 1 capability
We ship only the actions that matter.
01
1 capability in this set.
Part of 1 available through Archimedes First Principles Prover.
- 01
Validate archimedes first principles
This capability forces a structural audit of any strategic problem. It requires the agent to examine all foundational axioms and state their sources. It then decomposes the problem into its irreducible components, mapping their interactions. Finally, it demands a logical proof chain, tests the system's boundaries, and identifies the single leverage point for maximum impact.
Real work
What teams actually run
Business Process Redesign
Instead of restructuring the whole company, use this MCP to decompose the process into steps, finding the single bottleneck that requires fixing.
Product Feature Prioritization
Feed the AI a list of features and let it identify the single variable that will generate the most disproportionate user adoption.
Market Entry Strategy
Test a new market entry plan by forcing the AI to state the foundational axioms (e.g., regulatory stability, consumer spending) and test the failure boundaries.
Technical System Scaling
Run a system's architecture through the MCP to decompose it into microservices and prove that the current design can handle unexpected load spikes.
Automate a task
Put Archimedes First Principles Prover to work on one thing.
Step-by-step automations your AI runs through this Connector: the workflow, the prompts to start with, and the exact capabilities behind each move.
One connector, every AI
Archimedes First Principles Prover works with the most popular AI clients.
These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.
Claude
ChatGPT
Gemini
Perplexity
Grok
Microsoft Copilot
Cursor
VS Code
Windsurf
JetBrains
Cline
LangChain
Vercel AI SDK
Lovable
Z.ai
Raycast
Qwen Code
Kimi Code
Le ChatBuilding your own app? The connector is yours to use.
You don't need a client to put Archimedes First Principles Prover to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.
Observed, not estimated
912ms average. Fast in production.
Archimedes First Principles Prover is checked daily against the live service.
- Fastest day
- 782ms
- Slowest day
- 1072ms
- 14-day trend
- Slowing+7%
Connect your client
One URL. Every client.
Activate the Connector, copy your link, and paste it into the client you already use. 1 capability arrives ready to run.
Preview access · not provider authentication
The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Archimedes First Principles Prover, so you can see the experience inside your AI.
It does not authenticate your account with Archimedes First Principles Prover. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.
Archimedes First Principles Prover Connector
You're all set. Choose your MCP client and follow the setup instructions.
https://edge.vinkius.com/vk_preview_2aOcxzAi99p47ps29WeUcelnKLtoigQu9RxaugQl/mcpClaude Desktop
Follow the steps below to connect in seconds.
- 1In Claude Desktop, open Settings → Connectors.
- 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
- 3Click Add and start a new chat — Archimedes First Principles Prover capabilities are ready to use.
{
"mcpServers": {
"archimedes-first-principles-prover-mcp": {
"url": "https://edge.vinkius.com/vk_preview_2aOcxzAi99p47ps29WeUcelnKLtoigQu9RxaugQl/mcp"
}
}
}
Claude
ChatGPT
Cursor
VS Code
Windsurf
Claude Code
JetBrains
Cline
Step-by-step instructions for each client are in the guide. How to connect
Guided setup for Claude? Set up Archimedes First Principles Prover in Claude and other AIs
Who it's for
Built for the work Archimedes First Principles Prover owners hand off.
This MCP is essential for consultants, business architects, and strategists who need to move beyond surface-level recommendations. If your work requires proving why something must be true, not just that it should be, this capability is for you. It elevates your AI agent's thinking from pattern matching to rigorous, foundational logic.
- 01
Management Consultant
Use it to validate client strategies, ensuring recommendations are derived from measurable axioms, not industry best practices.
- 02
Software Architect
Run it on system designs to decompose complex requirements and test the boundaries of scalability and failure modes.
- 03
Research Analyst
Test hypotheses by forcing the AI to build a logical proof chain from foundational data points, eliminating 'obviously' conclusions.
FAQ
Questions Archimedes First Principles Prover owners ask.
- 01
What is the difference between an 'axiom' and an 'analogy'?
An axiom is a foundational claim that must be proven or sourced (e.g., 'The market size is X'). An analogy is simply observing that 'Company Y did Z, so we should too.' The MCP treats analogies as contamination, not proof.
- 02
Does this MCP replace human strategic thinking?
No. It's a structural check. It forces your AI agent to adopt a rigorous methodology, acting as a quality control layer that catches logical gaps and unproven assumptions in your own thinking.
- 03
What does 'decomposition' mean in this context?
It means breaking a large, complex problem into its smallest, independent parts. The MCP maps these components to ensure you aren't optimizing the wrong element of the system.
- 04
What kind of output do I get from the MCP?
You get a structured reflection that details which of the five principles failed (e.g., AXIOM_UNEXAMINED) and provides specific feedback on what foundational work needs to be done next.
- 05
Can I use this for non-business problems?
Yes. The capability is designed for any complex system—whether it's a business process, a technical architecture, or a scientific hypothesis. It only cares about the logical structure of the argument.
- 06
How is this different from the Elon Musk Physics Prover?
Elon Musk Physics Prover forces the 5-Step Starbase Algorithm: question, delete, simplify, accelerate, automate. It is about operational engineering. cutting bloat. Archimedes First Principles Prover forces axiom-based reasoning: state axioms, decompose, prove, test boundaries, find leverage. It is about analytical rigor. proving your logic before building. Musk asks 'should this exist?' Archimedes asks 'is this actually true?'
- 07
What counts as a valid axiom?
An axiom is a foundational claim your reasoning depends on, with an explicit source: measurement ('our average processing time is 340 minutes. measured last Tuesday'), physics ('material strength decreases by 15% per 10°C above threshold'), economics ('our acquisition cost exceeds lifetime value at current pricing'), or stated assumption ('we assume retention stays at 14 months'). 'Organization X does Y' is analogy. 'Obviously' is assertion. Neither is an axiom.
- 08
Can I use this for business strategy, not just engineering?
Yes. First-principles reasoning applies wherever analogical reasoning misleads. 'We should use freemium because the market leader does' is an analogy. The axiom is: at what conversion rate does freemium generate more lifetime value than paid-only? Decomposition: acquisition, activation, retention, monetization. which component is the actual bottleneck? Proof: if conversion is 3% and free-tier cost is $X/user, then... Boundary: at what scale does free-tier cost exceed premium revenue? Leverage: which single metric, if improved 10%, changes the business?
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Connect Archimedes First Principles Prover to Claude, Cursor, ChatGPT & more
