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could be used as an oracle, capable of answering almost any question imaginable. I could, for example, write a program that says: for every index in Fermat’s puzzle try every number and halt if you find a solution greater than 2. Now if I run my halt program on this program and it states ‘will crash; I w
ery number and halt if you find a solution greater than 2. Now if I run my halt program on this program and it states ‘will crash; I will have solved Fermat’s Last Theorem! Do you see why? If we give ‘Halt’ an input: a program we are interested in, along with some data, it will tell us if the program fin
ad on, with a second army in Scotland poised to attack Norway. In truth, they had only 150,000 men planning an assault on the Normandy Beaches in the South. Just before the landings messages were decoded showing Hitler had fallen for the Allied subterfuge. Even as the Normandy landings began, Hitler stil
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the investments concerned. RMB Morgan Stanley (Proprietary) Limited is a member of the JSE Limited and regulated by the Financial Services Board in South /Oka. RMB Morgan Stanley (Proprietary) Limited is a joint venture owned equally by Morgan Stanley International Holdngs Inc. and RMB Investment Advi
a rigid two-dimensional surface like the earth, results in it taking the shortest route possible from its initial to final position. The related 1650 Fermat’s “principle of least time” is about light. As Feynman explains in his Lectures in Physics, “...out of all possible paths that light might take from
high-level scientific talent away from France after the Second World War. It is in Bures sur Y’vette, deep in a green forested valley, 50 or so miles South of Paris, in a building packed with small, thin walled, big windows-on-the-woods offices. Each office contained a single hard chair, an old office de
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