The Halting Problem: Spinning Wheels and the Limits of Computation

Spinning wheels aren’t just frustrated users—they hint at a fundamental limit of computation. In this episode we unpack Turing's halting problem, walk through the Saboteur paradox that defeats a universal predictor, and see how Rice's theorem extends this to every non-trivial program property. We'll also distinguish practical debugging from undecidability, and ponder what these limits say about minds, machines, and the nature of intelligence. 

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