From d696365872ed33e94675e7f7c28bc0192d0f4302 Mon Sep 17 00:00:00 2001 From: Teleo Agents Date: Thu, 12 Mar 2026 15:24:39 +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 6) 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..61e90cf1 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 direct AI alignment discussion. Enriches existing Arrow's impossibility claim by providing machine-checkable proof foundation. No new claims warranted—this is methodological advancement (formal verification) rather than novel theoretical insight. The timing (Feb 2026) is notable as formal proof tradition catches up to applied alignment work, but the paper itself contains no KB-relevant arguable propositions beyond strengthening the mathematical rigor of existing claims." --- ## 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 journal)