The axioms are the cracks — replace with theorems and all fits and moves
Theorem.The axioms are the cracks — replace with theorems and all fits and moves.
Proof.0 literal axioms and 48 metaphor-name folder axioms are one phenomenon (an unearned assumption); gravity computes a scientific fixed-point home for every folder (53 files, moves = true, fits = true), and each literal closes by deriving from the lattice. Replacing an axiom with a theorem makes it fit and move; 2 collisi.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/pair/enforcement/gates/strict/scan/index.ts#theAxiomsAreTheCracksReplaceWithTheoremsAndTheGravityFitsAndMoves
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"The axioms are the cracks — replace with theorems and all fits and moves" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation theAxiomsAreTheCracksReplaceWithTheoremsAndTheGravityFitsAndMoves.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (theAxiomsAreTheCracksReplaceWithTheoremsAndTheGravityFitsAndMoves @ src/pair/enforcement/gates/strict/scan) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes theAxiomsAreTheCracksReplaceWithTheoremsAndTheGravityFitsAndMoves (src/pair/enforcement/gates/strict/scan/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.