Interpolation vs exploration: the core dispute over whether RL lets LLMs create genuinely new math

just_steve_h · x · 2026-10-09

The crux of the debate: juststeveh argues LLMs merely interpolate through existing material, citing Warren McCulloch's cybernetics argument that—like the second law of thermodynamics—computing cannot produce more information than it receives. tdietterich counters that reinforcement learning lets models explore search paths absent from their sources, like AlphaGo discovering new winning moves: "these systems are not just recombining existing material."

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