
What is the real number?
Posted:
Mar 14, 2017 1:18 PM


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

