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Topic: Proof 0.999... is not equal to one.
Replies: 194   Last Post: Feb 16, 2017 5:56 PM

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Re: Proof 0.999... is not equal to one.
Posted: May 31, 2007 4:17 AM

On May 31, 12:59 am, "Glen Wheeler" <s...@gew75.com> wrote:
> <chaja...@mail.com> wrote in message
>
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> >> What is the distance between 0.99999... and one?
>
> >> Ciao
>
> >> Karl
>
> > The distance is a non-real number I call a dubious number. It is of
> > indeterminate scale. It would take an infinity of them to equal one,
> > as mentioned at the end of my analysis. No real number increment would
> > be able to keep from surpassing one from zero in a finite number of
> > increments.

>
> > While the distance it not a real number, the system of real numbers
> > cannot allow 0.999... to be one as shown in my proof. In the Classic
> > Proof, 10x - x requires an element of subtraction that decimal cannot
> > hope to express in its own terms.

>
> > Bounds on the distance are not expressable in decimal notation.
> > Decimal notation, as described, is unable to express a large class of
> > real numbers. We know an infinity of numbers exist just after zero,
> > but decimal can only ever hope to express some reasonbly small
> > numbers. In between any smallest number decimal can express and zero
> > lie an infinity of inexpressable real numbers. These real numbers
> > would require only a finite mutliple to reach one.

>
> So you assert that R does not form a metric space?
>
> By the way, you are not using the word decimal appropriately.
>
> --
> Glen- Hide quoted text -
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> - Show quoted text -

I see no limitations disallowing that interval between 0.999... and 1
to be a metric space. It is infinitely sub-dividable and can be
understood to have its own metric. How this metric would relate to the
real numbers would require its own study.

When I say decimal, I simply mean any number represent in our common
base ten positional numbering system. If this seems an overuse of them
word I would be interested in hearing a better simple description.

--charlie

Date Subject Author
5/31/07 karl
5/31/07 karl
5/31/07 karl
5/31/07 Virgil
6/1/07 Richard Tobin
5/31/07 Glen Wheeler
5/31/07 The Ghost In The Machine
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
5/31/07 Glen Wheeler
5/31/07 Glen Wheeler
5/31/07 David W. Cantrell
6/5/07 Michael Press
5/31/07 Dr. David Kirkby
5/31/07 mensanator
5/31/07 mensanator
5/31/07 Jesse F. Hughes
5/31/07 Dik T. Winter
5/31/07 Rupert
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
2/2/17 JÃÂ¼rgen R.
2/2/17 abu.kuanysh05@gmail.com
5/31/07 William Hughes
5/31/07 Virgil
5/31/07 quasi
5/31/07 quasi
5/31/07 quasi
5/31/07 William Hughes
5/31/07 William Hughes
6/1/07 hagman
6/1/07 William Hughes
5/31/07 T.H. Ray
5/31/07 Jesse F. Hughes
5/31/07 T.H. Ray
5/31/07 Jesse F. Hughes
5/31/07 T.H. Ray
5/31/07 Jesse F. Hughes
5/31/07 Denis Feldmann
5/31/07 T.H. Ray
5/31/07 T.H. Ray
5/31/07 Dave Seaman
5/31/07 T.H. Ray
5/31/07 William Hughes
5/31/07 Jesse F. Hughes
6/1/07 Eric Schmidt
6/3/07 T.H. Ray
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
2/2/17 bassam king karzeddin
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
2/2/17 JÃÂ¼rgen R.
5/31/07 William Hughes
5/31/07 Dave Seaman
6/1/07 Glen Wheeler
5/31/07 William Hughes
6/1/07 William Hughes
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
5/31/07 Glen Wheeler
5/31/07 Marshall
6/5/07 Michael Press
5/31/07 bassam king karzeddin
5/31/07 Glen Wheeler
5/31/07 bassam king karzeddin
5/31/07 bassam king karzeddin
5/31/07 neilist
5/31/07 tommy1729
5/31/07 neilist
5/31/07 tommy1729
5/31/07 neilist
5/31/07 tommy1729
5/31/07 Dave Seaman
5/31/07 quasi
5/31/07 quasi
6/1/07 Dr. David Kirkby
6/1/07 quasi
6/1/07 hagman
5/31/07 hagman
6/1/07 Dr. David Kirkby
6/1/07 hagman
6/1/07 Eric Schmidt
6/1/07 hagman
6/2/07 hagman
5/31/07 Richard Tobin
5/31/07 mathedman@hotmail.com.CUT
5/31/07 Richard Tobin
5/31/07 William Hughes
5/31/07 Jesse F. Hughes
5/31/07 Brian Quincy Hutchings
5/31/07 Brian Quincy Hutchings
6/1/07 Richard Tobin
6/1/07 Jesse F. Hughes
6/1/07 Richard Tobin
6/1/07 Dik T. Winter
6/1/07 Jesse F. Hughes
6/1/07 Brian Quincy Hutchings
5/31/07 Dr. David Kirkby
5/31/07 quasi
5/31/07 quasi
5/31/07 quasi
6/1/07 Dr. David Kirkby
6/1/07 Virgil
6/1/07 Dr. David Kirkby
6/1/07 Dr. David Kirkby
6/1/07 Dik T. Winter
6/1/07 bassam king karzeddin
6/1/07 Dr. David Kirkby
3/22/13 John Gabriel
3/22/13 John Gabriel
6/1/07 Dr. David Kirkby
6/1/07 Denis Feldmann
2/7/13 Brian Q. Hutchings
2/8/13 JT
2/8/13 Virgil
2/8/13 JT
2/8/13 Virgil
2/8/13 Virgil
2/8/13 JT
2/8/13 Virgil
2/21/13 John Gabriel
6/1/07 JEMebius
6/1/07 bassam king karzeddin
2/2/17 bassam king karzeddin
6/1/07 mike3
9/26/07 JEMebius
9/26/07 mike3
9/27/07 Brian Quincy Hutchings
6/2/07 OwlHoot
6/3/07 jsavard@ecn.ab.ca
6/5/07 zuhair
6/10/07 Brian Quincy Hutchings
2/2/17 wolfgang.mueckenheim@hs-augsburg.de
2/2/17 JÃÂ¼rgen R.
2/2/17 Robin Chapman
2/2/17 JÃÂ¼rgen R.
2/2/17 R.J.Chapman
2/2/17 JÃÂ¼rgen R.
2/2/17 JÃÂ¼rgen R.
2/3/17 R.J.Chapman
2/8/17 George Cornelius
2/8/17 abu.kuanysh05@gmail.com
2/13/17 Dan Christensen
2/13/17 bassam king karzeddin
2/13/17 bursejan@gmail.com
2/15/17 William Hughes
2/15/17 netzweltler
2/15/17 William Hughes
2/15/17 William Hughes
2/15/17 netzweltler
2/15/17 William Hughes
2/15/17 netzweltler
2/15/17 Peter Percival
2/16/17 bassam king karzeddin
2/16/17 Peter Percival
2/15/17 William Hughes