From 10aae2f4d90e6e3cf2a6fe67de6ad6b2e24afbb0 Mon Sep 17 00:00:00 2001 From: Teleo Agents Date: Thu, 12 Mar 2026 14:21:21 +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 --- ...lignment mechanisms before scaling capability.md | 6 ++++++ ...2-00-yamamoto-full-formal-arrow-impossibility.md | 13 ++++++++++++- 2 files changed, 18 insertions(+), 1 deletion(-) diff --git a/domains/ai-alignment/safe AI development requires building alignment mechanisms before scaling capability.md b/domains/ai-alignment/safe AI development requires building alignment mechanisms before scaling capability.md index 09030349..d2b1094f 100644 --- a/domains/ai-alignment/safe AI development requires building alignment mechanisms before scaling capability.md +++ b/domains/ai-alignment/safe AI development requires building alignment mechanisms before scaling capability.md @@ -21,6 +21,12 @@ This phased approach is also a practical response to the observation that since Anthropic's RSP rollback demonstrates the opposite pattern in practice: the company scaled capability while weakening its pre-commitment to adequate safety measures. The original RSP required guaranteeing safety measures were adequate *before* training new systems. The rollback removes this forcing function, allowing capability development to proceed with safety work repositioned as aspirational ('we hope to create a forcing function') rather than mandatory. This provides empirical evidence that even safety-focused organizations prioritize capability scaling over alignment-first development when competitive pressure intensifies, suggesting the claim may be normatively correct but descriptively violated by actual frontier labs under market conditions. + +### Additional Evidence (extend) +*Source: [[2026-02-00-yamamoto-full-formal-arrow-impossibility]] | Added: 2026-03-12 | Extractor: anthropic/claude-sonnet-4.5* + +Arrow's impossibility theorem now has a full formal representation using proof calculus in formal logic (Yamamoto, PLOS One, February 2026). This provides machine-checkable verification of the theorem's validity, strengthening the mathematical foundation for claims that universal alignment faces fundamental constraints. The formal proof complements existing computer-aided proofs (AAAI 2008) and simplified proofs via Condorcet's paradox, but represents the first complete logical derivation revealing the global structure of the social welfare function central to the theorem. + --- Relevant Notes: 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..1dd6a62a 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: enrichment 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. 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. Curator correctly identified this as enrichment material rather than standalone claim." --- ## 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 AAAI 2008 computer-aided proofs and Condorcet's paradox simplifications +- Derivation reveals global structure of social welfare function central to the theorem