K3’s degree error is a bookkeeping bug, not a fatal proof flaw
teortaxesTex · x · 2026-07-20
The post highlights a reasoning-chain mistake in K3 and explains why it does not break the main argument.
- The model confused two notions of degree: in auxiliary variables, a term like u^3 z has degree 4, but after substituting u = 1 + xy it expands to a higher-degree polynomial in the original variables.
- The author argues this was a bookkeeping error, not a fatal flaw, because the proof’s core logic does not depend on that degree calculation.
- The determinant-based argument remains intact: the proof still establishes the Keller-map/non-injectivity conclusion.
- The broader takeaway is a characteristic LLM failure mode: reasoning is often checked selectively, so a central claim may be repaired while a peripheral inconsistency slips through.
- The corrected statement is given as (deg F1, deg F2, deg F3) = (7, 6, 4), while the counterexample proof itself is unchanged.
Related event: Kimi K3 Reasoning Chain Shows Math Errors Deemed Minor(2 posts)→
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