Epstein Secrets

eoretical footing. In the late 19" century, most mathematicians thought infinity was a curious idea with no proper place in mathematics. They treated Cantor's attempts to make it into a real mathematical object with contempt. This affected Cantor’s morale and caused him to suffer several bouts of deep dep

ou try it on your computer, you will get the not terribly useful, #DIV/0! Error. That’s progress I guess! Zero had been tamed. What about infinity? Cantor showed that while you could think of infinity as a number, it might not be just one number. He proposed there are many infinities. In fact, there are

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

n't have to worry about turning the page or working in two dimensions. If you are worried that a tape is less powerful than a sheet of paper remember Cantor’s theorem: an infinite plane is the same as an infinite line. The use of a tape massively simplified the mathematics, and subsequently many early com

‘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

he first two infinities; counting numbers and the continuum of real numbers. HOUSE_OVERSIGHT_016092 10. 11. 12. 13. 14, Index of Theorems 403 Cantor’s First Infinity Theorem — The infinite plane is the same infinity as the infinite line. . Known Unknowns Gédel’s Incompleteness Theorem — Mathemat

’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