extract: 2025-08-00-oswald-arrowian-impossibility-machine-intelligence #1001
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{
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"rejected_claims": [
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{
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"filename": "arrows-impossibility-theorem-applies-to-machine-intelligence-measurement-not-just-preference-aggregation.md",
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"issues": [
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"no_frontmatter"
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},
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{
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"filename": "convergent-impossibility-across-four-mathematical-traditions-suggests-structural-limits-not-contingent-failures.md",
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"issues": [
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"no_frontmatter"
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]
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}
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],
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"validation_stats": {
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"total": 2,
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"kept": 0,
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"fixed": 4,
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"rejected": 2,
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"fixes_applied": [
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"arrows-impossibility-theorem-applies-to-machine-intelligence-measurement-not-just-preference-aggregation.md:set_created:2026-03-15",
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"arrows-impossibility-theorem-applies-to-machine-intelligence-measurement-not-just-preference-aggregation.md:stripped_wiki_link:universal-alignment-is-mathematically-impossible-because-arr",
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"convergent-impossibility-across-four-mathematical-traditions-suggests-structural-limits-not-contingent-failures.md:set_created:2026-03-15",
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"convergent-impossibility-across-four-mathematical-traditions-suggests-structural-limits-not-contingent-failures.md:stripped_wiki_link:universal-alignment-is-mathematically-impossible-because-arr"
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],
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"rejections": [
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"arrows-impossibility-theorem-applies-to-machine-intelligence-measurement-not-just-preference-aggregation.md:no_frontmatter",
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"convergent-impossibility-across-four-mathematical-traditions-suggests-structural-limits-not-contingent-failures.md:no_frontmatter"
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]
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},
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"model": "anthropic/claude-sonnet-4.5",
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"date": "2026-03-15"
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}
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@ -7,9 +7,13 @@ date: 2025-08-07
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domain: ai-alignment
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domain: ai-alignment
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secondary_domains: [critical-systems]
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secondary_domains: [critical-systems]
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format: paper
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format: paper
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status: unprocessed
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status: null-result
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priority: high
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priority: high
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tags: [arrows-theorem, machine-intelligence, impossibility, Legg-Hutter, Chollet-ARC, formal-proof]
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tags: [arrows-theorem, machine-intelligence, impossibility, Legg-Hutter, Chollet-ARC, formal-proof]
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processed_by: theseus
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processed_date: 2026-03-15
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extraction_model: "anthropic/claude-sonnet-4.5"
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extraction_notes: "LLM returned 2 claims, 2 rejected by validator"
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---
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---
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## Content
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## Content
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@ -41,3 +45,10 @@ No agent-environment-based MIM simultaneously satisfies analogs of Arrow's fairn
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PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective
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PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective
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WHY ARCHIVED: Fourth independent impossibility tradition — extends Arrow's theorem from alignment to intelligence measurement itself
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WHY ARCHIVED: Fourth independent impossibility tradition — extends Arrow's theorem from alignment to intelligence measurement itself
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EXTRACTION HINT: Focus on the extension from preference aggregation to intelligence measurement and what this means for alignment targets
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EXTRACTION HINT: Focus on the extension from preference aggregation to intelligence measurement and what this means for alignment targets
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## Key Facts
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- Oswald, Ferguson & Bringsjord published formal proof at AGI 2025 (Conference on Artificial General Intelligence)
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- Paper appears in Springer LNCS vol. 16058
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- Proof covers Legg-Hutter Intelligence and Chollet's Intelligence Measure (ARC)
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- Full paper is paywalled at Springer
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