On Tuesday, March 14, 2017 at 7:40:05 PM UTC+2, bassam king karzeddin wrote:
> Real numbers are only layers of rational numbers of multi square root operation, where each number is unique and exact UNIQUE position on a straight line (real number line)
>
> Consider only positive real numbers for simplicity of the concept
>
> Define: consider known rational numbers are the natural layer of real numbers denoted by R
>
> Then: sqrt(R) = R^(1/2) Is the first layer of real numbers, note that first layer creates the natural layer within it
>
> And : sqrt(sqrt(R)) = R^(1/4), Is the second layer of real numbers, note that second layer creates the previous first and natural layers within it
>
> Many layers thought can be created, where the super layer of (nth) degree is defined as (R)^(2^{-n}), that contains all layers of lesser degrees including the natural layer (R), where (n) is positive integer
>
> So the real existing number is R^{2^{-n}}
> Where other known numbers in current mathematics does not exist strictly on real number line as one (dimension)
>
> Copyrighted (c)
>
> Regards
> Bassam King Karzeddin
> 14th, March, 2017

So the theme is real number is only an arbitrary existing distance relative to any arbitrary existing unity distance & nothing else FOR SURE

Where, they are only & strictly the discrete "constructible " numbers

A fact that not only academic mathematicians hate but also all other academic people as well, for more than sure

Bkk