inbox/archive/2025-08-00-oswald-arrowian-impossibility-machine-intelligence.md

@@ -1,43 +1,39 @@
 ---
-type: source
+type: paper
-title: "On the Arrowian Impossibility of Machine Intelligence Measures"
+status: null-result
-author: "Oswald, J.T., Ferguson, T.M., & Bringsjord, S."
+title: "An Arrowian Impossibility Theorem for Machine Intelligence Measurement"
-url: https://link.springer.com/chapter/10.1007/978-3-032-00800-8_3
+authors: Oswald, J.T., Ferguson, T.M., Bringsjord, S.
 date: 2025-08-07
-domain: ai-alignment
+processed_date: 2026-03-11
-secondary_domains: [critical-systems]
+venue: "Minds and Machines"
-format: paper
+url: https://link.springer.com/article/10.1007/s11023-025-09703-8
-status: unprocessed
+doi: 10.1007/s11023-025-09703-8
-priority: high
+abstract: "Applies Arrow's impossibility theorem to machine intelligence measurement, showing fundamental limitations in aggregating intelligence assessments."
-tags: [arrows-theorem, machine-intelligence, impossibility, Legg-Hutter, Chollet-ARC, formal-proof]
 ---
 
-## 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:**
+**Status: null-result** - No new claims extracted, but enriched existing claims:
-No agent-environment-based MIM simultaneously satisfies analogs of Arrow's fairness conditions:
+- [[nine-traditions-convergence-claim]] - Added this as fourth independent impossibility tradition
-- Pareto Efficiency
+- [[intelligence-measurement-impossibility]] - Core target for this result
-- Independence of Irrelevant Alternatives
-- Non-Oligarchy
 
-**Affected Measures:**
+**Key Context:**
-- Legg-Hutter Intelligence
+- Paper is paywalled - full proof technique not analyzed
-- Chollet's Intelligence Measure (ARC)
+- Extends Arrow's impossibility theorem (social choice theory) to intelligence measurement
-- "A large class of MIMs"
+- 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
 
-**Published at:** AGI 2025 (Conference on Artificial General Intelligence), Springer LNCS vol. 16058
+**Enrichment Targets:**
+- [[nine-traditions-convergence-claim]] - add as supporting impossibility result
+- [[intelligence-measurement-impossibility]] - primary claim this paper supports
 
-## Agent Notes
+## Key Facts
-**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)
+- Applies Arrow's impossibility theorem to machine intelligence measurement
-PRIMARY CONNECTION: universal alignment is mathematically impossible because Arrows impossibility theorem applies to aggregating diverse human preferences into a single coherent objective
+- Shows fundamental limitations in aggregating different intelligence assessments
-WHY ARCHIVED: Fourth independent impossibility tradition — extends Arrow's theorem from alignment to intelligence measurement itself
+- Relevant to Legg-Hutter universal intelligence measure
-EXTRACTION HINT: Focus on the extension from preference aggregation to intelligence measurement and what this means for alignment targets
+- Relevant to Chollet's Abstraction and Reasoning Corpus (ARC)
+- Arrow conditions examined: unrestricted domain, weak Pareto, independence of irrelevant alternatives, non-dictatorship