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IN 1935, Alan Turing set out to build a reputation by outflanking the world’s leading mathematician. Turing was 22 years old, and a new fellow at Cambridge. His target, David Hilbert, was the ...

Such is Turing's legacy: that of a nested chain of pretenses, each pointing not to reality, but to the caricature of another idea, device, individual, or concept. It's hard to overestimate Alan Turing ...