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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
}else{window. on load=function( ){oldonload{);tTunc();}}} fe ]]> */ James Tagg’s Home Page “Computers are stupid. They can only give you answers.” Pablo Picasso “Software is like sex: it's better when it’ free.” Linus Torvalds HOUSE_OVERSIGHT_015922 Silver Bullets Can't be Fired uman brains are wonderful
ure, every work of literature, every galaxy could be the output of this single, simple program. My pocket calculator could, theoretically, paint like Picasso and compose like Mozart. All art, knowledge and science would be entirely determined in our Universe and we would have no free will. If you philosoph
ms of Logic 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, 200
analysis 84 eyes 108 color perception 110 fovea centralis 112 resolution of 112 F Facebook 71, 271 face-to-face interaction 83 false paradox 155 Fermat’s Last Theorem xi, 225, 241, 242, 251, 253, 254, 259, 261, 275, 278, 351, 368 Fermat's puzzle 225 Fermilab 293 Feynman, Richard 58, 70, 157, 239,
hotosynthesis 50, 124 physics 180 determinism 316 Picasso, Pablo 232, 246, 298 pit vipers 102 Pixar 306 Pla
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
create are truly wonderful. I’m thinking here of Picasso, Einstein, Mozart, Edison, or Maxwell, but a prec
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