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To each computable sequence there corresponds at least one description number, while to no description number does there correspond more than one com… - Alan Turing
" "To each computable sequence there corresponds at least one description number, while to no description number does there correspond more than one computable sequence. The computable sequences and numbers are therefore enumerable.
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About Alan Turing
Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general-purpose computer. Turing is widely considered to be the father of theoretical computer science and artificial intelligence.
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Also Known As
Birth Name:
Alan Mathison Turing
Alternative Names:
Alan M. Turing
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Alan Mathieson Turing
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Turing
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A. M. Turing
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Additional quotes by Alan Turing
For some purposes we might use machines (choice... or c-machines) whose motion is only partially determined by the configuration... When such a machine reaches... ambiguous configurations, it cannot go on until some arbitrary choice has been made by an external operator. This would be the case if we were using machines to deal with axiomatic systems.
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