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head at the same time, and this requires deep concentration. To get some idea of the creative process at work, listen to the excellent TED lecture by John Cleese. HOUSE_OVERSIGHT_015960 Software 271 A common and costly mistake is to put off thinking about a class of things you are going to need in the next
alt’ an input: a program we are interested in, along with some data, it will tell us if the program finds an answer. If I am trying to solve Fermat’s Last Theorem, we will ask it to try every possible index for the equation 3*+4*=5* and halt when it finds a true result greater than 2. If the halt program says y
ively performed by a computer. As you know, I don’t agree with his later viewpoint. Another person who has thought long and hard about creativity is John Cleese, the comedian and actor. He describes the process wonderfully in a number of talks which you can find on YouTube. He finds a lot of his creativity em
iverse 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 by the determi
, 257, 309 convergent thinking 300 design tradeoff 311 divergent thinking 298 Eureka moment 302 incubation 301 innovator’s dilemma 306 intimation 301 John Cleese on 303 knowledge and 141 mathematical creativity 309 mechanical steps 141 non-linearity of 311 preparation 301 process 133, 270, 305 process versus 3
ic Based on Ordinals.” Proceedings of the London Mathematical Society 2, no. 1 (1939): 161-228. Wiles, Andrew. “Modular Elliptic Curves and Fermat’s Last Theorem.” Annals of Mathematics-Second Series 141, no. 3 (1995): 443-552. Chapter 12 Burgin, Mark. Super-Recursive Algorithms. Springer, 2005. Darwin, Cha
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