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d rules often part company. Yet, we all assume math- ematics is free of such uncertainty. Let me tell you this is not so. The brilliant mathematician Kurt Gédel proved see eee this when he was just 22, and his proof a es says something fundamental about the 4 rs /, : nature of knowledge. a has The story of h
‘monkeys and typewriters’ idea where we use random chance to generate information. Many people have suggested it is possible to write a play such as Shakespeare's Hamlet by simply typing random characters until we happened upon the play. The argument is flawed. The first flaw is the process would take a supe
g to it. What was constraining to cybernetics was the presumption of an analogy of structure between the controller and the controlled. By the 1930s, Kurt Gédel, Alonzo Church, and Alan Turing had all described universal systems of computation, in which the computation required no structural analogy to functi
ommunity, must say something substantially different from the community’s previous common stock of information.” This was why “schoolboys do not like Shakespeare,” he concluded: The Bard’s couplets may depart starkly from random bitstreams, but they had nonetheless become all too familiar to the sense-making p
g to it. What was constraining to cybernetics was the presumption of an analogy of structure between the controller and the controlled. By the 1930s, Kurt Gédel, Alonzo Church, and Alan Turing had all described universal systems of computation, in which the computation required no structural analogy to functi
ommunity, must say something substantially different from the community’s previous common stock of information.” This was why “schoolboys do not like Shakespeare,” he concluded: The Bard’s couplets may depart starkly from random bitstreams, but they had nonetheless become all too familiar to the sense-making p
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