Reloadium / Products / Axiom Audit

Are You Thinking From First Principles?

AxiomAudit is an AI-powered tool that analyzes your problem-solving approach across two dimensions: Decomposition (breaking down to fundamental truths) and Reconstruction (building innovative solutions from those truths). Most people think they're reasoning from first principles — they're not.

Paste any problem description and get an instant analysis: Are you Over-assuming, Under-analyzing, or Well-grounded? Are you Over-constraining, Under-structured, or Innovative? Get a precise improvement path and one-click rewrite to reach the optimal zone.

Screenshots

App Screenshots
Screenshot of Reloadium Axiom Audit (light)
Screenshot of Reloadium Axiom Audit on mobile (light)

Key Features

Built-in Agentic AI Assistant

Every Reloadium app comes with a built-in agentic AI assistant. It can perform any task the app offers — just describe what you want in plain language. Attach images or documents, keep a persistent conversation history, and let the AI act on your behalf — no extra setup required.

Decomposition Analysis

Evaluates whether you're identifying fundamental truths or hiding assumptions disguised as facts. Labels: Over-assuming, Under-analyzing, or Well-grounded.

Reconstruction Analysis

Assesses whether you're building logical solutions from axioms or constraining yourself with inherited frameworks. Labels: Over-constraining, Under-structured, or Innovative.

Apply First Principles

One click rewrites your problem description to demonstrate proper first principles thinking — directly addressing your identified decomposition and reconstruction weaknesses.

Audit History

Track your thinking evolution over time with persistent history stored locally in your browser. Compare before/after states to measure improvement.

Analyze Any Webpage

Paste any URL and the AI reads the page for you. Feed in articles, competitor pages, reports, or documentation — the full content becomes context for a richer, more grounded analysis.

Upload a Document

Drop in a PDF, Markdown, or plain text file and let the AI work from your actual content. Ideal for analyzing contracts, research papers, internal reports, or any document you'd rather not copy-paste.

Guided Questionnaire

Not sure how to describe your situation? Switch to Guide mode and answer a short series of focused questions. The AI turns your answers into a structured, detailed input — so you always get a high-quality analysis even when starting from scratch.

Zone Recognition Trainer

Sharpen your understanding of the zone matrix with AI-generated scenario drills. Read a realistic situation, pick the zone it belongs to, and get instant feedback. Scenarios are generated in your language and cached locally so you can keep practising without regenerating.

How It Works

  1. 1

    Describe Your Problem or Goal

    Paste or type a problem, situation, or goal you're working on. Be as specific as possible — the more context, the sharper the analysis.

  2. 2

    Get Your Analysis

    AI evaluates your Decomposition (Over-assuming / Under-analyzing / Well-grounded) and Reconstruction (Over-constraining / Under-structured / Innovative) with detailed reasoning.

  3. 3

    Apply First Principles

    Follow the actionable improvement path, or hit 'Apply First Principles' to auto-rewrite your approach to the Well-grounded + Innovative optimal zone.

Perfect For

Business Strategy

Challenge cost, pricing, and revenue assumptions — stop copying industry standards and start reasoning from economic fundamentals.

Product Development

Audit whether you're building what users actually need from first principles, or just benchmarking against competitors.

Innovation & R&D

Identify whether you're truly breaking down a domain to physics and math, or just extrapolating from existing technology.

Organizational Design

Evaluate team structures and processes: are you copying agile frameworks, or reasoning from the actual constraints of your team?

Coach & Trainer

Use the zone trainer to coach clients or students on how to read the matrix. Generate scenario drills, share the app, and let them practise recognising zones on their own.

Powered by Advanced AI

AxiomAudit uses Google Gemini 2.5 Flash to deliver nuanced two-dimensional thinking analysis. Our technology:

  • Analyzes problem descriptions against a structured Decomposition-Reconstruction framework
  • Returns JSON-structured output with status labels, detailed analysis, and actionable suggestions
  • Rewrites problem descriptions to demonstrate Well-grounded + Innovative first principles thinking
  • Stores all history locally in browser localStorage — zero server-side data retention
  • Runs securely through the Reloadium /api/hello cloud function with Firebase Auth

Privacy & Data

We respect your privacy and are committed to protecting your data:

  • Your problem descriptions are sent to the AI for analysis only — not stored on our servers
  • All audit history is stored locally in your browser
  • Firebase Authentication is used for secure credit-based access
  • No personal or business strategy data is retained after each analysis session

Frequently Asked Questions

Is there a built-in AI assistant?
Yes — every Reloadium app has a built-in agentic AI assistant. It's not just a chatbot: it can perform any task the app offers on your behalf. Click the chat icon to open it, describe what you need in plain language, and the AI takes care of the rest. You can also attach images or documents for analysis. Your conversation history is saved locally across sessions. No account or extra setup needed.
What is first principles thinking?
First principles thinking is the practice of breaking a problem down to its most fundamental truths (axioms) and then reasoning up from there. Instead of reasoning by analogy ('this is how it's always been done'), you decompose to the physics, math, or basic facts, then reconstruct innovative solutions.
What does 'Over-assuming' mean?
Over-assuming means your problem description contains too many unverified beliefs treated as facts. You're building your thinking on inherited assumptions rather than fundamental truths. The fix is to explicitly identify which statements are assumptions vs. verified axioms.
What is the optimal zone?
Well-grounded + Innovative is the optimal combination — you've identified the fundamental truths of your domain (no hidden assumptions), and you're building logically novel solutions from those axioms rather than copying existing patterns.
Can I use it for any domain?
Yes. First principles thinking applies universally: business, product, engineering, science, personal decisions. The framework evaluates whether you're reasoning from fundamentals regardless of domain.
Is my data private?
Absolutely. Your problem descriptions are sent to the AI for analysis only and are never stored on our servers. All history is kept locally in your browser.
Can I analyze a webpage or article directly?
Yes — switch to the URL tab, paste any link, and the AI fetches and reads the full page content before running its analysis. Works with articles, reports, competitor pages, and most public URLs. No copy-pasting required.
Can I upload a file instead of typing?
Yes — switch to the File tab and drop a PDF, .md, or .txt file (up to 20 MB). The AI extracts the text and uses it as the basis for its analysis. Useful for contracts, research papers, meeting notes, or any document you already have.
What if I don't know what to type?
Use Guide mode — click the ✦ Guide tab and answer a short set of focused questions. The AI assembles your answers into a rich, structured input automatically, so you get a thorough analysis without needing to know exactly what to write upfront.
What is the Zone Recognition Trainer?
The Zone Trainer is an interactive drill built into the app. Click the dumbbell icon to open it, then hit Start to generate AI-powered scenario cards. Each card describes a realistic situation — pick the zone you think it maps to and get instant right/wrong feedback. Cards are generated in your UI language and saved locally so you can keep practising without regenerating each session.

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Ready to Audit Your Thinking?

Paste your next problem description and get instant AI-powered first principles analysis.

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