Turing's oracle machine reveals a startling physical impossibility at the heart of AI: no machine could ever simply memorize ...

Alan Turing theorized a machine that could do infinite calculations from an infinite amount of data that computes based on a set of rules. It starts with an input, transforms the data and outputs an ...

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 ...

It is the height of the Second World War. A group of codebreakers stands in a dimly lit warehouse 50 miles northwest of London, a giant machine composed of spinning drums and wires looms in front of ...