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The Turing Machine was part of a mathematical proof in Turing's paper "On Computable Numbers". The proof showed that there are non-computable numbers, and problems that no computer (no matter how it is built or programmed) can solve. However the proof did not give an example of either (such proofs of existence usually don't produce examples).

The Turing Machine was never intended to be built, and it is a very inefficient and impractical computer.

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Q: Why did Alan Turing invented the Turing machine?
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