Dear Giamfranco,
The fact that -i , +i = integral over certain infinite number of hyperdimensions of dI in no way contradicts the fact that -I*+I = -1.
It just adds internal structure to I. No other changes in normal mathematics.
Sure. Socialist Realismus has proven to be a dead idea both in theory and praxis. I have lived in THAT for 27 years, few of my relatives were killed/sent to Siberia in old days, and if You think it is better to live in s..t because also democracy causes pain to most people, than I prefer that pain of making choices. But that is outside topic, let us not go deeper.
This was just a geometric interpretation of h(e^(pi/2) = -i given by Andrew, which I turned backwards. What I am asking is by what route do we reach hypervolume -i from moving length e^pi/2 into consequently higher dimensions and with each iteration how much closer to -i we get? And what if we start backwards, by (1/i)^i, from hypervolume -i ( or +i on another branch?) . How many selfroots of i should we have? How many x roots of y shall we have if x is real? irrational? transcendental?
"Stop the discussion"- I admit I was being little provoking here, but how should I stop it? I can not discuss alone.
For me it is the most important question mathematics should answer- how to go around, reverse Godels incompleteness theorem? And I see the answer in infinite tetration and adding illdefined hyperdimensional structure to things like I, pi may be more. And this has relation to physics very very much, to avoid building up more and more theories that makes understanding of whole impossible.
Ivars
GFR Wrote: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" ?
The fact that -i , +i = integral over certain infinite number of hyperdimensions of dI in no way contradicts the fact that -I*+I = -1.
It just adds internal structure to I. No other changes in normal mathematics.
Quote:You mean Imagination Power? Completely against Socialist Realismus ??!! ; - )
Sure. Socialist Realismus has proven to be a dead idea both in theory and praxis. I have lived in THAT for 27 years, few of my relatives were killed/sent to Siberia in old days, and if You think it is better to live in s..t because also democracy causes pain to most people, than I prefer that pain of making choices. But that is outside topic, let us not go deeper.
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?
This was just a geometric interpretation of h(e^(pi/2) = -i given by Andrew, which I turned backwards. What I am asking is by what route do we reach hypervolume -i from moving length e^pi/2 into consequently higher dimensions and with each iteration how much closer to -i we get? And what if we start backwards, by (1/i)^i, from hypervolume -i ( or +i on another branch?) . How many selfroots of i should we have? How many x roots of y shall we have if x is real? irrational? transcendental?
"Stop the discussion"- I admit I was being little provoking here, but how should I stop it? I can not discuss alone.
For me it is the most important question mathematics should answer- how to go around, reverse Godels incompleteness theorem? And I see the answer in infinite tetration and adding illdefined hyperdimensional structure to things like I, pi may be more. And this has relation to physics very very much, to avoid building up more and more theories that makes understanding of whole impossible.
Ivars