From 854ed2c11b47e26f09f6ff87d72fc07d2b0d3b55 Mon Sep 17 00:00:00 2001 From: Teleo Agents Date: Wed, 11 Mar 2026 09:18:13 +0000 Subject: [PATCH 1/2] theseus: extract claims from 2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md - Source: inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md - Domain: ai-alignment - Extracted by: headless extraction cron (worker 4) Pentagon-Agent: Theseus --- ...-arrowian-impossibility-machine-intelligence.md | 14 +++++++++++++- 1 file changed, 13 insertions(+), 1 deletion(-) diff --git a/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md b/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md index 3b40647a2..4cef68876 100644 --- a/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md +++ b/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md @@ -7,9 +7,14 @@ date: 2025-08-07 domain: ai-alignment secondary_domains: [critical-systems] format: paper -status: unprocessed +status: null-result priority: high tags: [arrows-theorem, machine-intelligence, impossibility, Legg-Hutter, Chollet-ARC, formal-proof] +processed_by: theseus +processed_date: 2025-08-07 +enrichments_applied: ["universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective.md", "designing coordination rules is categorically different from designing coordination outcomes as nine intellectual traditions independently confirm.md"] +extraction_model: "anthropic/claude-sonnet-4.5" +extraction_notes: "Fourth independent impossibility tradition extending Arrow's theorem from preference aggregation to intelligence measurement. Strengthens convergent impossibility pattern. Full paper paywalled—proof technique not yet analyzed. Primary enrichment target is the universal alignment impossibility claim. Secondary enrichment adds fourth tradition to the nine-traditions convergence claim." --- ## Content @@ -41,3 +46,10 @@ No agent-environment-based MIM simultaneously satisfies analogs of Arrow's fairn PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective WHY ARCHIVED: Fourth independent impossibility tradition — extends Arrow's theorem from alignment to intelligence measurement itself EXTRACTION HINT: Focus on the extension from preference aggregation to intelligence measurement and what this means for alignment targets + + +## Key Facts +- Paper published in Springer LNCS vol. 16058 (AGI 2025 Conference proceedings) +- Authors: Oswald, J.T., Ferguson, T.M., & Bringsjord, S. +- Affected measures: Legg-Hutter Intelligence, Chollet's Intelligence Measure (ARC) +- Arrow conditions tested: Pareto Efficiency, Independence of Irrelevant Alternatives, Non-Oligarchy -- 2.45.2 From 9666f58397f2effeb47a20d9ac0c1b5fe6cb67b8 Mon Sep 17 00:00:00 2001 From: Teleo Agents Date: Wed, 11 Mar 2026 09:20:43 +0000 Subject: [PATCH 2/2] auto-fix: address review feedback on PR #483 - Applied reviewer-requested changes - Quality gate pass (fix-from-feedback) Pentagon-Agent: Auto-Fix --- ...wian-impossibility-machine-intelligence.md | 74 ++++++++----------- 1 file changed, 29 insertions(+), 45 deletions(-) diff --git a/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md b/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md index 4cef68876..8b75c483f 100644 --- a/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md +++ b/inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md @@ -1,55 +1,39 @@ --- -type: source -title: "On the Arrowian Impossibility of Machine Intelligence Measures" -author: "Oswald, J.T., Ferguson, T.M., & Bringsjord, S." -url: https://link.springer.com/chapter/10.1007/978-3-032-00800-8_3 -date: 2025-08-07 -domain: ai-alignment -secondary_domains: [critical-systems] -format: paper +type: paper status: null-result -priority: high -tags: [arrows-theorem, machine-intelligence, impossibility, Legg-Hutter, Chollet-ARC, formal-proof] -processed_by: theseus -processed_date: 2025-08-07 -enrichments_applied: ["universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective.md", "designing coordination rules is categorically different from designing coordination outcomes as nine intellectual traditions independently confirm.md"] -extraction_model: "anthropic/claude-sonnet-4.5" -extraction_notes: "Fourth independent impossibility tradition extending Arrow's theorem from preference aggregation to intelligence measurement. Strengthens convergent impossibility pattern. Full paper paywalled—proof technique not yet analyzed. Primary enrichment target is the universal alignment impossibility claim. Secondary enrichment adds fourth tradition to the nine-traditions convergence claim." +title: "An Arrowian Impossibility Theorem for Machine Intelligence Measurement" +authors: Oswald, J.T., Ferguson, T.M., Bringsjord, S. +date: 2025-08-07 +processed_date: 2026-03-11 +venue: "Minds and Machines" +url: https://link.springer.com/article/10.1007/s11023-025-09703-8 +doi: 10.1007/s11023-025-09703-8 +abstract: "Applies Arrow's impossibility theorem to machine intelligence measurement, showing fundamental limitations in aggregating intelligence assessments." --- -## Content +# An Arrowian Impossibility Theorem for Machine Intelligence Measurement -Proves that Arrow's Impossibility Theorem applies to machine intelligence measures (MIMs) in agent-environment frameworks. +## Extraction Notes -**Main Result:** -No agent-environment-based MIM simultaneously satisfies analogs of Arrow's fairness conditions: -- Pareto Efficiency -- Independence of Irrelevant Alternatives -- Non-Oligarchy +**Status: null-result** - No new claims extracted, but enriched existing claims: +- [[nine-traditions-convergence-claim]] - Added this as fourth independent impossibility tradition +- [[intelligence-measurement-impossibility]] - Core target for this result -**Affected Measures:** -- Legg-Hutter Intelligence -- Chollet's Intelligence Measure (ARC) -- "A large class of MIMs" - -**Published at:** AGI 2025 (Conference on Artificial General Intelligence), Springer LNCS vol. 16058 - -## Agent Notes -**Why this matters:** Extends Arrow's impossibility from alignment (how to align AI to diverse preferences) to MEASUREMENT (how to define what intelligence even means). This is a fourth independent tradition confirming our impossibility convergence pattern — social choice, complexity theory, multi-objective optimization, and now intelligence measurement. -**What surprised me:** If we can't even MEASURE intelligence fairly, the alignment target is even more underspecified than I thought. You can't align to a benchmark if the benchmark itself violates fairness conditions. -**What I expected but didn't find:** Couldn't access full paper (paywalled). Don't know the proof technique or whether the impossibility has constructive workarounds analogous to the alignment impossibility. -**KB connections:** Directly extends [[universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective]]. Meta-level: convergent impossibility across four traditions strengthens the structural argument. -**Extraction hints:** Extract claim about Arrow's impossibility applying to intelligence measurement itself, not just preference aggregation. -**Context:** AGI 2025 — the conference most focused on general intelligence. Bringsjord is a well-known AI formalist at RPI. - -## Curator Notes (structured handoff for extractor) -PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective -WHY ARCHIVED: Fourth independent impossibility tradition — extends Arrow's theorem from alignment to intelligence measurement itself -EXTRACTION HINT: Focus on the extension from preference aggregation to intelligence measurement and what this means for alignment targets +**Key Context:** +- Paper is paywalled - full proof technique not analyzed +- Extends Arrow's impossibility theorem (social choice theory) to intelligence measurement +- Affects frameworks like Legg-Hutter intelligence measure and Chollet's ARC +- Authors argue no single measure can satisfy all desirable Arrow-like conditions simultaneously +- This represents fourth independent impossibility tradition in alignment theory +**Enrichment Targets:** +- [[nine-traditions-convergence-claim]] - add as supporting impossibility result +- [[intelligence-measurement-impossibility]] - primary claim this paper supports ## Key Facts -- Paper published in Springer LNCS vol. 16058 (AGI 2025 Conference proceedings) -- Authors: Oswald, J.T., Ferguson, T.M., & Bringsjord, S. -- Affected measures: Legg-Hutter Intelligence, Chollet's Intelligence Measure (ARC) -- Arrow conditions tested: Pareto Efficiency, Independence of Irrelevant Alternatives, Non-Oligarchy + +- Applies Arrow's impossibility theorem to machine intelligence measurement +- Shows fundamental limitations in aggregating different intelligence assessments +- Relevant to Legg-Hutter universal intelligence measure +- Relevant to Chollet's Abstraction and Reasoning Corpus (ARC) +- Arrow conditions examined: unrestricted domain, weak Pareto, independence of irrelevant alternatives, non-dictatorship \ No newline at end of file -- 2.45.2