Epstein Secrets

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

How Alan Turing invented the computer, helped win World War II and left us with one of the greatest puzzles of our time: are humans simply computers or are we more t

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

, or even a physicist, could grasp! That thing is a Turing Machine. We will examine this next. HOUSE_OVERSIGHT_015898 Chapter 10 TURING’S MACHINE Alan Turing HOUSE_OVERSIGHT_015899 ‘A computer would deserve to be called intelligent if it could deceive a human into believing that it was human.” Alan Turi

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

In the nearly hundred years of investigation since Wallas proposed this theorem, we have not moved much further forward in understanding creativity. Alan Turing described his thoughts on the science behind creativity in a short piece he wrote about decision making: “When making a decision of minor importance