I’ve wrapped my Turing machine series in Decoded Science where I knew it would end.
“The Turing Machine versus the Decision Problem of Hilbert” explains how David Hilbert’s “Decision Problem” met its match at the hands of the mathematical tool “invented” by Alan Turing.
The Decisive Problem for the Turing Machine
David Hilbert had intended to focus the attention of his fellow mathematicians by posing problems that would, when solved, demonstrate the power of mathematics as known around 1900.
The “Decision Problem” asks whether a system of mathematics can have a procedure that can prove any given statement expressed in that same mathematical system.
Alan Turing, among others, rose to the challenge. The “Turing machine” decisively proved whether or not the Decision Problem could be solved.
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