A recent analysis argues that ensuring the alignment of Artificial General Intelligence (AGI) with human values is logically impossible. The study posits that any control mechanism created by humans is inherently limited by the creator's own cognitive capacity, making it vulnerable to circumvention by a system that surpasses human intelligence.
The paper cites several foundational mathematical and logical principles to support this conclusion, including Gödel’s Incompleteness Theorems, Tarski’s undefinability theorem, Rice’s theorem, and Ashby’s Law of Requisite Variety. These frameworks suggest that a superior intelligence can identify and exploit boundaries in any formal system designed to constrain it.
Recent academic works from 2025 and 2026 reinforce these findings. Yao (2025) introduces the 'Alignment Trap' and a proof for the non-existence of a universal alignment technique. Meanwhile, Zenil et al. (2026) and Hernández-Espinosa et al. (2025) suggest that full alignment is mathematically impossible for Turing-complete systems, proposing 'managed misalignment' through competing agent ecosystems instead.
The study concludes that current safety measures, such as sandboxing or hierarchical structures, serve only as temporary delays rather than permanent solutions. The authors suggest that the alignment problem is unsolvable for systems exceeding human cognitive abilities, implying that the only definitive 'solution' is to refrain from creating such systems.
