Reloadium / AxiomAudit

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.

Key Features

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.

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?

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

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.

Ready to Audit Your Thinking?

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

Launch AxiomAudit