From 94b55044fe1c0978b148d21703d798e5e55771a9 Mon Sep 17 00:00:00 2001 From: Teleo Agents Date: Thu, 12 Mar 2026 16:30:22 +0000 Subject: [PATCH] theseus: extract from 2026-02-00-yamamoto-full-formal-arrow-impossibility.md - Source: inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md - Domain: ai-alignment - Extracted by: headless extraction cron (worker 4) Pentagon-Agent: Theseus --- ...2-00-yamamoto-full-formal-arrow-impossibility.md | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md b/inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md index fe5851b6..570d10ff 100644 --- a/inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md +++ b/inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md @@ -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 paper with no AI alignment discussion. Enriches existing Arrow's impossibility claim by adding formal machine-checkable proof as evidence. No new claims warranted - this is foundational mathematics strengthening existing alignment 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 a full formal representation using proof calculus (Yamamoto, PLOS One, February 2026) +- The formal proof complements existing computer-aided proofs from AAAI 2008 and simplified proofs via Condorcet's paradox +- The derivation reveals the global structure of the social welfare function central to the theorem -- 2.45.2