The Annotated Turing

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1. 01

   Alan Turing proved that some problems cannot be solved by any computer, no matter how powerful.

   The Annotated Turing · 2008

   Some problems are undecidable: no computer can solve them, no matter how powerful.

   Think of an impossible puzzle: you want to know if a program will ever get stuck, but you can't find out for sure. Turing showed there are questions computers can never answer, even if they are very fast. It's like trying to find a treasure that doesn't exist.

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