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We are also fairly sure we can form any number by adding two primes together. This is Goldbach’s Conjecture, set as a question in a letter written to Euler in 1742. It is still unproven! Euclid proved there are an infinite number of primes by using reductio ad absurdum. Imagine we have a complete list o
an be created without understanding. Can a monkey, or perhaps some form of computerized random number generator, accidentally type out the script for Shakespeare's Hamlet or write Tolstoy’s War and Peace? Is knowledge generation simply a numbers game? Leo Tolstoy’s War and Peace is generally assumed to be the
d a route across the city that crosses each bridge once and once only. You can start anywhere, but no walking halfway over a bridge and no swimming! Euler discovered a rigorous mathematical proof that there can be no solution in 1735 after five hundred years of failure by other mathematicians. The answe
‘monkeys and typewriters’ idea where we use random chance to generate information. Many people have suggested it is possible to write a play such as Shakespeare's Hamlet by simply typing random characters until we happened upon the play. The argument is flawed. The first flaw is the process would take a supe
x 332 Equitable Center 5 equivalence 200 Ericsson, Anders 37 Ernd 169 Escher, MC 346 and Penrose Steps 51 Essential Complexity 231 Euclid’s proof 156 Euler 157, 202 Eureka moment 302 Everett, Hugh 328 experiments 1 exponent 241 expression analysis 84 eyes 108 color perception 110 fovea centralis 112 reso
’s Chinese Room 66, 222 secret message 214 Seeger, Pete 162 Sego, Daniel 335 self-halting problem 250 SendMail 265 Shadows of the Mind 50, 282 Shakespeare, William 39, 129, 131, 138, 140, 254 Shamir, Adi 165 Shannon, Claude xiii, 3, 216, 337 Sharman, Mike ix Shaw, George Bernard 25, 78, 286 Shockle
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