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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
Once again, I disprove the theory. Since both routes fail, James’ list of prime numbers is not complete and, therefore, prime numbers are infinite. Feynman's Proof My favorite piece of logic is Richard Feynman's disproof of the existence of polywater. It’s a strange logical proof bordering on philosophy
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
ivity versus 312 program equivalence problem 250 programmer 235, 238, 263 programming geniuses 271 super-programmers 266 progressive cipher 214 proof Feynman’s proof 157 indirect 244 mathematical 156 philosophical 246 Index 415 PSPACE problem 168 Pulitzer Prize 365, 367 purpose on the planet 9 puzzle tw
ptural quotations and biblical diagrams as part of their theoretical correspondence. Perhaps the greatest mathematician of the 18" Century (or ever), Euler, in his Letters to a German Princess, discussed the functional characteristics of spirits and tt the connections between body and soul. Bell said E
s in it taking the shortest route possible from its initial to final position. The related 1650 Fermat’s “principle of least time” is about light. As Feynman explains in his Lectures in Physics, “...out of all possible paths that light might take from one point another, light takes the path that requires t
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