Schmidhuber: the Gödel Machine (2003) remains the holy grail of recursive self-improvement

SchmidhuberAI · x · 2026-09-17

Jürgen Schmidhuber, quoting a new survey on self-improving agentic systems, reasserts that the holy grail of recursive self-improvement (RSI) is his mathematically optimal self-referential Gödel Machine from 2003. He notes it inspired a wave of recent work — Darwin-Gödel Machine (2025), Huxley-Gödel Machine, Red Queen Gödel Machine — and links the team's new survey "Self-Improvements in Modern Agentic Systems" (paper, project page, GitHub). The quoted tweet argues meta-learning and recursive self-improvement are old ideas that foundation models are revitalizing.

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