Thinking First Principles skill

First Principles

Strip assumed constraints to independently supported primitives, then rebuild. Escape analogy when convention fails or looks artificially expensive.

When to Use

• A constraint is treated as fixed ("too expensive," "impossible," "always done this way") without independent support.
• Convention or analogy has failed, stalled, or only yields weak incremental variants.
• Greenfield design where industry defaults may smuggle false requirements.
• Cost or feasibility claims rest on pricing, precedent, or authority rather than physics, math, or measured need.

When NOT to Use

• The constraint is verified physics, hard regulation, or measured capacity → accept it and optimize within it.
• A proven standard library, protocol, or known-good pattern already fits → use it; do not re-derive.
• Time-critical incidents → act on the most likely cause first; reserve first-principles rebuild for post-incident redesign.
• Incremental polish of a working system with no false-constraint signal → skip.

Procedure

1. State the problem and claimed constraints. List every limit treated as fixed (cost, scale, stack, process, "must use X").
2. Classify each constraint. Tag as physics/math, regulation/contract, measured fact, or convention/analogy/authority. Keep only the first three as binding unless evidence upgrades a convention.
3. Decompose to primitives. Required inputs, conservation/complexity bounds, true non-negotiables. Demand independent support (measurement, derivation, primary requirement)—not vendor pricing or competitor precedent.
4. Discard unsupported assumptions. For each convention tag, state a falsifier. Drop or renegotiate anything lacking support.
5. Rebuild from remaining primitives only. Simplest solution that satisfies binding constraints and ignores artificial ones. Prefer commodity inputs and fewer moving parts over analogy.
6. Validate and stop. Check against real physics, contracts, and measured needs. Define the cheapest kill test. Stop when a coherent rebuild plus discriminating validation exists, or when only verified hard constraints remain.

Output

Emit a first-principles rebuild:

• claimed_constraints: list with classification tags
• primitives: independently supported truths only
• discarded_assumptions: conventions dropped and why
• rebuild: solution derived only from primitives
• binding_residuals: real limits that remain
• kill_test: cheapest check that would falsify the rebuild

Verification

• Independence check: every primitive must cite measurement, derivation, or primary requirement—not precedent alone.
• No smuggled analogy: if the rebuild still depends on "how others do it" without a primitive, strip it.
• Constraint honesty: verified physics/regulation must remain; do not wish them away.
• Over-application guard: if a standard solution is already optimal under verified constraints, do not rebuild for novelty.
• Stop: one decompose → classify → rebuild → kill-test pass; do not recurse without new evidence.