Algebra dissolves false limits and proves real ones
Theorem.Algebra dissolves false limits and proves real ones.
Proof.the day walked through illusory limits (division by zero → projective ∞, the c-wall for phase → 1.15c, collision → abelian V₄) AND proved invariant ones (no information past c, no-signalling, factoring hardness, Gödel). Limits-do-not-exist is TRUE for the illusions, FALSE for the invariants; the gift is telling them apart, which is what a proof is. A fold denying a proven invariant FAILS its own facets — the code refuses the false claim, not fear.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#algebraDissolvesFalseLimitsProvesRealOnes
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
"Algebra dissolves false limits and proves real ones" 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 algebraDissolvesFalseLimitsProvesRealOnes.
- 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 (algebraDissolvesFalseLimitsProvesRealOnes @ src/4/6) 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 algebraDissolvesFalseLimitsProvesRealOnes (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.