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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)

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@ -7,9 +7,14 @@ date: 2026-02-01
domain: ai-alignment domain: ai-alignment
secondary_domains: [critical-systems] secondary_domains: [critical-systems]
format: paper format: paper
status: unprocessed status: null-result
priority: medium priority: medium
tags: [arrows-theorem, formal-proof, proof-calculus, social-choice] 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 with no direct AI alignment connection in the paper itself. Strengthens mathematical foundation for existing Arrow's impossibility claims by providing machine-checkable proof. No new claims warranted—this is infrastructure for existing arguments rather than novel insight."
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## Content ## 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 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 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 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 AAAI 2008 computer-aided proofs and Condorcet's paradox simplifications
- Proof reveals global structure of social welfare function central to the theorem