01/24/2008, 11:44 PM
Dear Ivars!
Concerning the following:
Sorry, Ivars. I am trying to go "non-standard" since a lot of time but, this time, I again cannot follow you. We must agree on something, before proceeding further. Letter "i" means a number [the sqrt(-1), which actually is two numbers {-i,+i}, because (-i)^2 = (+i)^2 = -1]. Right? If you write Pi meaning the Greek letter Pi = 3.1415..., which is also a number, then the expression that you are mentioning could be: e^(Pi*i/2) = i and, therefore: e^(-Pi*i/2) = -i. So, you should clarify what do you mean by simple "p". Nevertheless, I cannot see e^(Pi*i/2) as a "dimension" and don't understand what stands for "e^pi/2". Moreover, what do you mean by "infinitely rotating around a dimension length" ?
You mean Imagination Power? Completely against Socialist Realismus ??!! ; - )
Sorry, Ivars. I should like to suggest to stop these discussions here, please. Personally, I need a lot of time for preparing my old brain to receive these concepts. Let us try, for the moment, to concentrate us on tetration and on its conjectural uniqueness and smootheness. Otherwise, if we don't succeed to do so, unfortunately, we (at least ...I) have to give up.
Giamfranco
Concerning the following:
Ivars Wrote:........ I am deliberately trying to find a true imaginary infinitesimal, not i *epsilon, sorry, not i *dx.
Well if we begin with i as infinitely rotated into higher dymensions length (e^pi/2) so that -i = h(e^pi/2) is a hypervolume of an infinite hyperdimension. OK? Totally unclear , no physical content, but that is what it could be.
Sorry, Ivars. I am trying to go "non-standard" since a lot of time but, this time, I again cannot follow you. We must agree on something, before proceeding further. Letter "i" means a number [the sqrt(-1), which actually is two numbers {-i,+i}, because (-i)^2 = (+i)^2 = -1]. Right? If you write Pi meaning the Greek letter Pi = 3.1415..., which is also a number, then the expression that you are mentioning could be: e^(Pi*i/2) = i and, therefore: e^(-Pi*i/2) = -i. So, you should clarify what do you mean by simple "p". Nevertheless, I cannot see e^(Pi*i/2) as a "dimension" and don't understand what stands for "e^pi/2". Moreover, what do you mean by "infinitely rotating around a dimension length" ?
Ivars Wrote:I know i is considered to be constant, but I do not see why that has to be accepted. i, pi, e are just symbols, and their content is in fact, infinite of unknown since they have no physical analoques.
di = 0 is an axiomatic assumption that works well in math. The same for d(pi)=0. Fine. And than we have Godels law and happily watch exponential growth and specialization of mathematics because we have limited ourselves to the usage of well defined symbols and application of well defined operations.The number of finite symbols and operations will grow infinitely.
... I is imaginary unit and equals infinite hyperspace volume. dI is a change of dimension of this hyperspace by one while still close to infinity. Very ill defined-no understandable content as infinity is involved.
You mean Imagination Power? Completely against Socialist Realismus ??!! ; - )
Ivars Wrote:If we than remove one lenghts e^pi/2 , back tetrate, so to say, what will happen with that hypervolume? Will it stay the same? or will it be one hyperdimension smaller?
Sorry, Ivars. I should like to suggest to stop these discussions here, please. Personally, I need a lot of time for preparing my old brain to receive these concepts. Let us try, for the moment, to concentrate us on tetration and on its conjectural uniqueness and smootheness. Otherwise, if we don't succeed to do so, unfortunately, we (at least ...I) have to give up.
Giamfranco