First Principles Problem Solver
Strip assumptions. Rebuild solutions.
Vol. I Core Truths · False Assumptions · First Principles Solutions
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Axiom strips every assumption from your problem until only fundamental truths remain. Solutions are then built back up from those truths alone: not from convention or habit.

The idea

First principles thinking means breaking a problem down to its most basic, undeniable facts, then building your answer from scratch using only those facts. You ignore what everyone else does, what has always been done, and what feels obvious. You start from zero.

Elon Musk used it to challenge the assumption that rockets had to be expensive. Instead of accepting market prices, he asked: what are rockets actually made of? Raw materials cost a fraction of the finished product. So he built from scratch.

Why most thinking fails

Most people reason by analogy — they copy what already exists and tweak it. That works for small improvements. It breaks down when you need a genuinely different outcome. Analogical thinking keeps you inside the box without realising the box exists.

How Axiom helps

Paste in any business problem, product decision, or strategic question. Axiom surfaces the assumptions baked into how you framed it, identifies what is actually true underneath, and generates solutions that follow from those truths — not from convention.

Why is our churn rate high despite good reviews?
Should we build this feature or find a different solution?
Why does our pricing feel wrong even though margins are fine?
We keep missing deadlines — what is actually broken?
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