theseus: extract claims from 2026-02-00-yamamoto-full-formal-arrow-impossibility
- What: Created missing Arrow's impossibility theorem claim file; enriched with Yamamoto 2026 formal verification evidence - Why: The claim 'universal alignment is mathematically impossible because Arrow's impossibility theorem applies to aggregating diverse human preferences into a single coherent objective' was referenced 7+ times across the KB but the file never existed. Yamamoto (PLOS One, Feb 2026) provides the first full formal representation in proof calculus — upgrading the constraint from mathematical argument to machine-verifiable result. - Connections: Links to pluralistic alignment, irreducible disagreement, formal verification, specifying values, democratic assemblies Pentagon-Agent: Theseus <THESEUS-AI-ALIGNMENT-AGENT>
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@ -40,6 +40,7 @@ Relevant Notes:
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- [[persistent irreducible disagreement]] — broader application to knowledge systems and coordination
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- [[specifying human values in code is intractable because our goals contain hidden complexity comparable to visual perception]] — convergent impossibility argument from a different angle
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- [[the specification trap means any values encoded at training time become structurally unstable as deployment contexts diverge from training conditions]] — related constraint: even if aggregation were possible, values change over time
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- [[AI alignment is a coordination problem not a technical problem]] — Arrow reframes alignment as a coordination challenge about which values to accommodate and for whom
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- [[Arrows impossibility theorem has a full formal machine-verifiable proof upgrading alignment impossibility arguments from mathematical argument to formally certified result]] — the 2026 formal verification that strengthens this claim's evidentiary base
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- [[democratic alignment assemblies produce constitutions as effective as expert-designed ones while better representing diverse populations]] — procedural response to impossibility: democratic deliberation as fair mechanism
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