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sense of free will and creativity is an illusion. In Dennett’s worldview, Andrew Wiles is a special purpose machine that was always destined to solve Fermat’s Last Theorem. I believe this model is flawed. It is my aim in this book to show you why. Indeed I am going to go further and argue all human creati
s. Some things are simply not computable. Computers can do many useful things, but they cannot discover new mathematical theorems, such as a proof of Fermat’s Last Theorem. In 1996, Andrew Wiles succeeded in finding a solution to this problem. This presents a paradox, solved only if we conclude Andrew Wil
MIND OVER COMPUTER Computer versus Human “I visualize a time when we will be to robots what dogs are to humans, and I'm rooting for the machines.” Claude Shannon “The question of whether computers can think is just like the question of whether submarines can swim.” Edgar Dijkstra HOUSE_OVERSIGHT_015693 Kas
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
t. Because each key is only used once you can't use any sort of statistical method to work out the message, making the one-time pad perfectly secure. Claude Shannon proved this in 1945 while working for Bell Corporation but, due to wartime secrecy, his proof was not published until 1948. HOUSE_OVERSIGHT_015906
e in a Universe where information comes into existence through the creative endeavors of human beings. When Andrew Wiles discovered his solution to Fermat’s Last Theorem, he did something a computer cannot do and demonstrated non-computational thought. But there is an alternative explanation put forward
tted is useless as it is, in effect, encrypted using a one-time pad. The only person in possession of a copy of this one-time pad is me: the sender. Claude Shannon proved a one-time pad is unbreakable during the Second World War. Yet the British succeeded in breaking it. How was this possible? The fatal weaknes
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