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Vinkius

Archimedes First Principles Prover Connector for AI agents.

1 live capability

Force your agent to derive rigorous architectural proofs and identify high-leverage growth points.

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Why people use Archimedes First Principles Prover

Archimedes First Principles Prover: Fixing Lazy AI Reasoning in Architecture

This Connector changes the conversation. It forces the agent to stop looking at what others did and start looking at what is actually true. It demands a breakdown of your specific constraints, a logical proof for every step, and a clear identification of where the logic breaks. You get a strategy that's built on solid ground, not just a polished summary of someone else's success.

  • Claude
  • ChatGPT
  • Gemini
  • Cursor
  • Visual Studio Code
  • Windsurf

What Vinkius changes

That your agent stops guessing and starts proving.

Use it from Claude, ChatGPT, Cursor or another AI client you already have.

One account · 5,900+ Connectors

  1. Real-world use case 01

    The 'Industry Leader' Trap

    An agent suggests a decentralized structure because others use it.

  2. Real-world use case 02

    The Checkout Bottleneck

    Instead of 'optimizing the flow,' the agent decomposes the funnel into address, shipping, and payment to find the real drop-off point.

  3. Real-world use case 03

    The 'Restructure Everything' Fallacy

    When a process is slow, the agent is forced to prove that a full restructure is the only solution instead of a simple template change.

Complete set · 1capability

The complete Archimedes First Principles Prover capability set.

These are the exact actions your AI can choose when you ask it to work with Archimedes First Principles Prover.

Capability set01 / 01

01

1 capability in this set.

Part of 1 available through Archimedes First Principles Prover.

  1. 01 Capability

    Validate archimedes first principles

    Forces your agent to audit its logic by checking axioms, components, proofs, boundaries, and leverage points. It rejects lazy reasoning and ensures every conclusion follows a strict logical chain.

Set up in minutes

One URL. Then ask Archimedes First Principles Prover to work.

Claude and ChatGPT only need the Connector URL. Copy it once, add it in settings, and use Archimedes First Principles Prover from the conversation.

Choose your client

Live preview
Advanced clients IDE · CLI

Claude · Web + desktop

Official guide ↗

Connector URL · ready to paste

Streamable HTTP
https://edge.vinkius.com/vk_preview_2aOcxzAi99p47ps29WeUcelnKLtoigQu9RxaugQl/mcp
  1. Step 01

    Open Connectors

    In Claude Web or Claude Desktop, open Settings and choose Connectors.

  2. Step 02

    Add the URL

    Choose Add custom connector, name it Archimedes First Principles Prover, and paste the URL above.

  3. Step 03

    Turn it on in chat

    Select +, open Connectors, and enable Archimedes First Principles Prover for the conversation.

Where the request belongs

Work Archimedes First Principles Prover can move forward.

Built around the request

The CTO who's tired of 'best practices' that don't work at scale. The systems architect who needs to justify a massive overhaul. The product lead who needs to find the one feature that actually matters.

01

Systems Architect

Auditing infrastructure designs to ensure they handle specific load constraints instead of just copying industry trends.

02

Product Strategist

Breaking down market entries to find the real competitive leverage instead of just listing features.

03

Engineering Manager

Identifying the specific bottleneck in a slow deployment pipeline to avoid unnecessary massive restructures.

Build the capability set

Add more capabilities.

Each Connector adds new actions and data without changing how you work.

Browse Connectors
First Principles Prover logo
01 1 capability

First Principles Prover

LLMs reason by analogy, copying industry norms. This engine is a 6-pivot cognitive trap that forces the agent to discard jargon and derive original solutions exclusively from physical, mathematical, or logical axioms.

View Connector
Isaac Newton Prover logo
02 1 capability

Isaac Newton Prover

A decision report said 'it works well.' That is prose, not proof. This capability forces it to formalize into precise rules, derive from first principles, and unify all cases under one framework. no case-by-case exceptions, no special handling.

View Connector
Copernicus Perspective Prover logo
03 1 capability

Copernicus Perspective Prover

Your AI analyzed the problem from the default perspective and added workarounds when it did not fit. That is an epicycle. not a solution. Copernicus did not add more epicycles to Ptolemy's model. He moved the center from Earth to Sun. 40+ epicycles vanished. This capability forces default questioning, epicycle counting, alternative framing, observer shifting, and simplicity comparison.

View Connector
Critical Thinking Prover logo
04 2 capabilities

Critical Thinking Prover

AI agents accept premises without questioning, analyze from one perspective, cherry-pick evidence, ignore consequences, and present uncertainty as certainty. This capability forces rigor: surface assumptions, apply competing frameworks, weigh counterevidence, trace ripple effects, bound confidence.

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Galileo Experimental Prover logo
05 1 capability

Galileo Experimental Prover

Your AI accepted a claim because 'the documentation recommends it.' That is authority deference. not evidence. Galileo did not accept Aristotle's 2,000-year claim that heavier objects fall faster. He dropped two masses from the Tower of Pisa. This capability forces authority questioning, experimental design, variable control, outcome prediction, and belief revision.

View Connector
Systems Thinking Prover logo
06 1 capability

Systems Thinking Prover

AI thinks in straight lines. This engine is a 6-pivot cognitive trap that forces the LLM to map feedback loops, second-order effects, and bottlenecks before proposing any architectural change.

View Connector

Bring your own AI

Change the model, client or framework. Keep Archimedes First Principles Prover connected.

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Before you connect

Questions about Archimedes First Principles Prover.

The practical details behind the request, access and result.

What is the Archimedes First Principles Prover MCP?

It is a logic audit capability that forces your AI client to stop using lazy analogies and start thinking from first principles. It ensures your agent provides rigorous proofs for every strategic or architectural decision.

How does this help with software architecture?

It forces the agent to break down your system into components and identify the exact failure points. This prevents you from over-engineering a solution that doesn't address the actual bottleneck.

Can I use this for business strategy?

Yes. It is excellent for business strategy because it prevents the agent from just copying a competitor's playbook. It forces the agent to find the unique leverage points in your specific market.

How is this different from a normal AI prompt?

A normal prompt allows the agent to give you the easiest answer it knows. This Connector creates a hard constraint that rejects easy answers unless they are backed by a full logical proof and boundary test.

What happens if my agent gives a lazy answer?

The capability will flag the reasoning as AXIOM_UNEXAMINED or PROOF_MISSING. It will then tell the agent exactly why the logic failed and what specific information it needs to provide to pass the audit.

Does this work for complex engineering problems?

Yes, it is specifically designed for complexity. It forces the agent to decompose problems into smaller, manageable parts so you can solve the root cause rather than just treating the problem as a monolith.

Will this help me find the best way to scale?

It helps by identifying the 'fulcrum.' Instead of suggesting you scale everything, it forces the agent to find the one variable where a small change creates a massive increase in output.

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?'

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.

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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