disproof of the Cantor diagonal method; Geometrical-probability theory #4.25 Correcting Math
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From: Archimedes Plutonium on 27 Jul 2010 00:28 > > So I think the biggest beneficiary of Geometrical-Probability theory > is going to be Physics, > and that mathematics will only look on in curiousity. > There is another aspect to this. Suppose we had just two digits and tried to apply a Cantor diagonal on 0,1 and we have their sum total digit arrangements as 00 01 10 11 Now apply the diagonal and you quickly see that as you change any digits and fashion of a diagonal, that the arrangements exhaust all possible numbers, and changing anything only yields another number already listed. This happens to be the case for the permutations as all possible digit arrangements given a set number of digits and place value. So the failing or fakeness of the Cantor diagonal method is that it sounds gullible, it sounds like it can work, but how oh, how easy most people are fooled. When you have the permutations of all possible digit arrangements of a set, no matter if the set is finite or infinite, that the Cantor Diagonal simply breaks down and falls apart with all possible digit arrangements. Cantor was lulled into the idea that the diagonal can change every number in a set and come up with a new number not in the original set. But how can, or should anyone believe this when you start with a set that has exhausted all possible digit arrangements? The moment you say-- all possible digit arrangements is a contradiction to the idea that any sort of diagonal changing can produce a new number. If we have all possible digit arrangements preempts any attempt to manufacture a new number. The Factorial is all possible digit arrangements, and since factorial goes to infinity, means that Cantor diagonal is very much a fake technique. It was thought the Earth was flat because if it were round, people on the other side would fall off. Cantor's diagonal is the same sort of mind-rot. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |