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theseus: extract from 2026-02-00-yamamoto-full-formal-arrow-impossibility.md

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- Source: inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md
- Domain: ai-alignment
- Extracted by: headless extraction cron (worker 6)

Pentagon-Agent: Theseus <HEADLESS>
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Teleo Agents 2026-03-12 12:18:27 +00:00
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inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md
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@ -7,9 +7,14 @@ date: 2026-02-01
domain: ai-alignment
secondary_domains: [critical-systems]
format: paper
status: unprocessed
status: null-result
priority: medium
tags: [arrows-theorem, formal-proof, proof-calculus, social-choice]
processed_by: theseus
processed_date: 2026-03-11
enrichments_applied: ["safe AI development requires building alignment mechanisms before scaling capability.md"]
extraction_model: "anthropic/claude-sonnet-4.5"
extraction_notes: "Pure formal verification work. No new claims warranted - this is foundational mathematical infrastructure that strengthens existing Arrow's theorem references in the KB. The timing (Feb 2026) is notable as it arrives just as AI alignment field grapples with Arrow's implications, but the paper itself is pure social choice theory with no AI connection. Enrichment adds formal verification status to our existing alignment impossibility arguments."
---
## Content
@ -30,3 +35,9 @@ Key contribution: meticulous derivation revealing the global structure of the so
PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective
WHY ARCHIVED: Provides formal verification foundation for our Arrow's impossibility claim
EXTRACTION HINT: Likely enrichment to existing claim rather than standalone — add as evidence that Arrow's theorem is now formally machine-verifiable
## Key Facts
- Arrow's impossibility theorem received full formal representation using proof calculus (Yamamoto, PLOS One, February 2026)
- Formal proof complements existing computer-aided proofs from AAAI 2008 and simplified proofs via Condorcet's paradox
- Paper published in PLOS One (open-access, peer-reviewed) with no explicit connection to AI alignment applications