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Topic: What is the real number?
Replies: 74   Last Post: Nov 21, 2017 6:55 AM

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 bassam king karzeddin Posts: 2,182 Registered: 8/22/16
Re: What is the real number?
Posted: Sep 30, 2017 10:39 AM

On Monday, September 25, 2017 at 6:46:29 PM UTC+3, Markus Klyver wrote:
> Den måndag 25 september 2017 kl. 07:40:20 UTC+2 skrev Zelos Malum:
> > Den söndag 24 september 2017 kl. 19:05:40 UTC+2 skrev bassam king karzeddin:
> > > On Thursday, September 21, 2017 at 9:04:09 AM UTC+3, Zelos Malum wrote:
> > > > Den onsdag 20 september 2017 kl. 20:36:39 UTC+2 skrev bassam king karzeddin:
> > > > > On Monday, March 20, 2017 at 8:49:37 PM UTC+3, bassam king karzeddin wrote:
> > > > > > On Tuesday, March 14, 2017 at 8:40:05 PM UTC+3, 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)
> > > > > > >

> > > > > > I wrote:
> > > > > > > Consider only nonnegative 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

> > > > > >
> > > > > > Therefore any (say nonnegative) real number R, may be directly expressed from those real layers of rational numbers defined above, as the following:
> > > > > >
> > > > > > R = x_0 + sqrt(x_1) + (x_2)^(1/4) + (x_3)^(1/8) + ... + (x_n)^(2^{-n})
> > > > > >
> > > > > > Where (n >=0) is non negative integer, and (x_i >= 0) is rational number,
> > > > > >
> > > > > > Any other number not following this definition, does not exist (for sure)
> > > > > >
> > > > > > It should be noted that those numbers are expressed in surd form expressing exact locations on real number line, but once you express them in terms of rational endless decimals, then this would be only approximation (and never any real number)
> > > > > >
> > > > > > Probably this is the first time in the history of mathematics that the nonnegative real number was defined exactly like this,
> > > > > >
> > > > > > However the whole REAL number is only constructible number, and the definition might be further reduced to this simple form
> > > > > >
> > > > > > R = x + sqrt(y), where (x) is rational number, and (y) is nonnegative constructible number
> > > > > >
> > > > > > Regards
> > > > > > Bassam King Karzeddin
> > > > > > 20th, March, 2017

> > > > >
> > > > > And here is the true concept of what is the real number for sure
> > > > >
> > > > > BKK

> > > >
> > > > Why is it you are obsessed about the greeks? We have much better tools these days.

> > >
> > > All other tools you have nowadays had been broken to pieces, and are certainly not any better than an assumed Protractor, which is also not exact for all angles
> > >
> > > This has been proven over and over, but people love fiction numbers for sure
> > >
> > > BKK

> >
> > Actually the tools we have are not broken and they are vastely superior to the greeks.
> >
> > For one, I can take the fifth root of things, they couldn't.
> >
> > You haven't proven anything, get it into your head already and there is no such thing as "fiction numbers", they are all equally fictional. 1 is not less fictional than pi, they are both abstract concepts.

>
> The only fictional is Bassam's understanding of mathematics.

Soon or later, the true mathematics would remain for sure

And all the fictional stories would be realised by the clever students first and one by one, sure

BKK

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