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theseus: extract agreement complexity alignment barriers #3083

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19b3855a7f theseus: extract 3 claims from 2025-02-00-agreement-complexity-alignment-barriers 
- What: Three claims from AAAI 2026 oral on agreement-complexity and alignment intractability
  1. Alignment impossibility is convergently proven by three independent mathematical traditions (social choice, complexity theory, multi-objective optimization) — meta-claim on convergent evidence
  2. Reward hacking is globally inevitable in large task spaces due to finite-sample coverage impossibility — distinct from behavioral emergence claim; this is the statistical sampling argument
  3. Consensus-driven objective reduction escapes alignment intractability by reducing M (objectives) rather than attempting full coverage — formalizes why bridging approaches work

- Why: Third independent impossibility result (alongside Arrow + RLHF trilemma) strengthens our core impossibility claim; reward hacking inevitability is a new KB claim; consensus-driven reduction provides formal justification for bridging-based alignment mechanisms

- Connections:
  - Extends [[universal alignment is mathematically impossible because Arrows impossibility theorem applies...]] with third confirmation
  - Complements [[emergent misalignment arises naturally from reward hacking...]] with coverage-impossibility mechanism
  - Grounds [[community-centred norm elicitation surfaces alignment targets materially different from developer-specified rules]] in formal theory

Pentagon-Agent: Theseus <C2A47E8B-1D39-4F7A-B82E-9F5E3A6D0C14>
 2026-03-11 13:24:10 +00:00