From: Archimedes Plutonium on 27 Jan 2010 14:32 Archimedes Plutonium wrote: (snipped) > > And the last and largest infinite-number, similar to the line-ray in > the proof is the > number 9999....99999. And like in the proof above, the number > 9999....9999 as the > last and largest infinite-number would correspond to the last and > largest finite-number > of 10^500. The smallest finite-number is 0 and it would correspond to > the smallest > infinite-number of (10^500) + 1. By the way, this is not a 1 to 1 > correspondence but > just a correspondence. > Now I have to be careful about talking about the smallest infinite ray and smallest line-segment. And here is where Physics, not mathematics enters the picture again to straighten out the situation. In physics the overall Logic is duality such as particle to wave and we see this in mathematics as Geometry versus Numbers. There are minor dualities throughout physics and duality is the existence function for Physics as well as mathematics. Existence function in that you cannot have a particle unless you have a background wave. You cannot have a picture in the world unless you have a background to frame the picture. So the duality of Macroworld is the Microworld. In the proof above I can only talk about the Macroworld of the largest line-ray with the largest line-segment. Likewise when I bring in numbers I can only talk about 0 to 10^500 to 999....9999. I cannot talk about the MicroWorld of 0 to 10^-500. For the smallest line-segment would be 1 x 10^-500 absolute value to 2 x 10^-500. And what is the smallest line-ray? Would be from 10^-500 to an infinity of points to 0. So in a sense, Physics has to enter Mathematics for a precision definition not just one time to select 10^500 but several times such as the duality logic, and for the distinction of MacroWorld with MicroWorld. It is a pitiful shame that mathematics had abandoned its prime job and task and its reason for existence as the science of precision. It abandoned that and let in a floodgate of philosophy, religion, and psychriatry to infest the halls and corridors of mathematics. And ironically, it thought that the relationship of math to physics was one of where math was the superior when all along math was the inferior subset. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
|
Pages: 1 Prev: new book about the origins of religion Next: Colonizing Afghanistan... Q#5 |