That’s why the machines were central to Turing’s paper. To show there were algorithms that Turing machines would run indefinitely and inconclusively was a way of showing Hilbert was mistaken.

The connection between a Turing-complete machine and an algorithm pervades the computational complexity paradigm. Due to the Boolean/binary (0,1) nature of the electrical storage of memory, the ...

Alan Turing was one of the most influential British figures of the 20th century. In 1936, Turing invented the computer as part of his attempt to solve a fiendish puzzle known as the ...