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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
theorem during their lives, we must conclude no mathematician is a computer! This is controversial. Most philosophers tend to the view put forward by Daniel Dennett that the Universe is an entirely determined place and any personal sense of free will and creativity is an illusion. In Dennett’s worldview, Andrew W
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
nspired by it. You cannot erase the experience from your memory. And once you have heard it you will have been creatively inoculated. I have defeated Daniel Dennett and his like, and given you creative freedom! www.jamestagg.com/noncompmusic Having made at least some music above the Turing limit I could declare
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
a computer cannot do and demonstrated non-computational thought. But there is an alternative explanation put forward by the determined determinists. Daniel Dennett - the standard bearer for this camp — believes everything in the Universe is entirely determined. He argues there is no place in the laws of nature f
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