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Get Started Free →Apply first principles thinking to break problems down to fundamental truths and reason up from there. Use this skill when the user is stuck in conventional thinking, needs to challenge assumptions, find breakthrough solutions, or evaluate whether something is truly impossible vs just assumed to be — even if they say 'everyone does it this way', 'is there a fundamentally better approach', 'why does it have to cost this much', or 'challenge my assumptions'.
.claude/skills/asgard-ai-platform-meta-first-principles/SKILL.md| Test case | Without → With | Effect | Δ tokens | Δ turns |
|---|---|---|---|---|
| case-01 | ✗→✓ | ▲ Improved | -4% | 0% |
| case-03 | ✗→✓ | ▲ Improved | 29% | 0% |
| case-07 | ✗→✓ | ▲ Improved | 7% | 0% |
| case-14 | ✗→✓ | ▲ Improved | 12% | 0% |
| case-16 | ✗→✓ | ▲ Improved | 88% | 0% |
IRON LAW: Assumptions Are Not Facts
Most "constraints" are assumed, not physical. "We can't do X" usually means
"We haven't seen anyone do X" or "The current method doesn't allow X."
First principles thinking distinguishes between:
- Physical laws (actual constraints: gravity, thermodynamics)
- Conventions (assumed constraints: "this is how it's done")1. Identify the assumption: What do "everyone knows" or "everyone does"?
2. Break it down to fundamentals: What are the basic, irreducible facts?
3. Reason up from fundamentals: Given only the base facts, what's the best solution?
→ Fundamental constraint found: the COGS includes an unexamined supplier relationship, not a physical constraint.
For any "it costs too much" problem:
markdown# First Principles Analysis: {Problem} ## The Assumption {What "everyone knows" or the conventional constraint} ## Decomposition | Component | Cost/Fact | Physics or Convention? | |-----------|----------|----------------------| | {element} | {value} | Physics / Convention | ## Fundamental Truths {What remains after stripping away assumptions} ## Reasoning Up {Given only fundamental truths, what's the best approach?} ## Proposed Solution {What changes if we ignore conventions and reason from fundamentals}
| Case | Status | Duration (ms) | Turns | Tokens | Tool calls | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Without | With | Δ | Without | With | Δ | Without | With | Δ | Without | With | Δ | ||
case-01 | fail→pass | 27,037 | 46,706 | +73% | 1 | 1 | 0% | 4,166 | 3,992 | -4% | 0 | 0 | — |
case-02 | fail→fail | 28,606 | 19,523 | -32% | 1 | 1 | 0% | 4,797 | 3,824 | -20% | 0 | 0 | — |
case-03 | fail→pass | 27,482 | 25,696 | -6% | 1 | 1 | 0% | 4,026 | 5,206 | +29% | 0 | 0 | — |
case-04 | pass→pass | 13,953 | 10,496 | -25% | 1 | 1 | 0% | 2,146 | 2,361 | +10% | 0 | 0 | — |
case-05 | pass→pass | 21,506 | 20,136 | -6% | 1 | 1 | 0% | 3,117 | 3,879 | +24% | 0 | 0 | — |
case-06 | pass→fail | 14,127 | 21,593 | +53% | 1 | 1 | 0% | 2,111 | 3,848 | +82% | 0 | 0 | — |
case-07 | fail→pass | 25,944 | 23,770 | -8% | 1 | 1 | 0% | 3,793 | 4,045 | +7% | 0 | 0 | — |
case-08 | pass→pass | 14,914 | 20,211 | +36% | 1 | 1 | 0% | 2,293 | 4,236 | +85% | 0 | 0 | — |
case-09 | pass→pass | 13,760 | 16,102 | +17% | 1 | 1 | 0% | 2,216 | 3,101 | +40% | 0 | 0 | — |
case-10 | pass→pass | 19,679 | 21,295 | +8% | 1 | 1 | 0% | 2,832 | 3,682 | +30% | 0 | 0 | — |
case-11 | pass→pass | 20,099 | 18,867 | -6% | 1 | 1 | 0% | 2,718 | 3,461 | +27% | 0 | 0 | — |
case-12 | fail→fail | 27,225 | 20,185 | -26% | 1 | 1 | 0% | 4,742 | 4,183 | -12% | 0 | 0 | — |
case-13 | pass→pass | 18,097 | 14,955 | -17% | 1 | 1 | 0% | 2,489 | 2,813 | +13% | 0 | 0 | — |
case-14 | fail→pass | 22,824 | 21,018 | -8% | 1 | 1 | 0% | 3,926 | 4,405 | +12% | 0 | 0 | — |
case-15 | pass→pass | 24,456 | 23,437 | -4% | 1 | 1 | 0% | 3,401 | 3,848 | +13% | 0 | 0 | — |
case-16 | fail→pass | 10,001 | 12,832 | +28% | 1 | 1 | 0% | 1,644 | 3,085 | +88% | 0 | 0 | — |
case-17 | fail→fail | 20,113 | 18,239 | -9% | 1 | 1 | 0% | 3,366 | 3,914 | +16% | 0 | 0 | — |
case-18 | fail→pass | 21,383 | 20,086 | -6% | 1 | 1 | 0% | 3,662 | 4,216 | +15% | 0 | 0 | — |
case-19 | fail→pass | 21,815 | 19,700 | -10% | 1 | 1 | 0% | 3,493 | 4,032 | +15% | 0 | 0 | — |
case-20 | fail→fail | 24,835 | 19,605 | -21% | 1 | 1 | 0% | 3,445 | 3,590 | +4% | 0 | 0 | — |
case-21 | fail→pass | 22,113 | 17,755 | -20% | 1 | 1 | 0% | 3,451 | 3,509 | +2% | 0 | 0 | — |
case-22 | fail→fail | 23,162 | 24,903 | +8% | 1 | 1 | 0% | 3,943 | 4,572 | +16% | 0 | 0 | — |
DecimalAI ran this skill against gemini-3.6-flash twice over the same eval suite — once with the skill loaded and once without — and compared the two runs case by case. 22 cases were attempted. The headline lift of +32 percentage points is the difference between those two pass rates over the 22 comparable cases. 1 case got worse with the skill loaded, and it is included in that figure.
Without the skill loaded, the model failed this case. With it loaded, the same prompt on the same model passed. This is one improved case from the latest verified run; every case, including any that regressed, is in the table above.
Other measured skills in the registry, with their headline benchmark lift.