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Topic: Proof 0.999... is not equal to one.
Replies: 158   Last Post: Mar 22, 2013 11:02 AM

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jsavard@ecn.ab.ca

Posts: 318
Registered: 12/12/04
Re: Proof 0.999... is not equal to one.
Posted: Jun 3, 2007 1:14 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

chaja...@mail.com wrote:
> I have written a proof that 0.999... cannot be equal to one in the
> system of real numbers.

.
> While at the end of it all you may not fully agree with my proof, much
> I as have never seen a proof asserting they were equal that I was able
> to consider valid,

.
That's the problem right there.

You see, there *are* valid proofs that .999... exactly equals 1 in the
system of real numbers (they might be unequal in an enlarged system,
that includes infinitesimals) and therefore the people who have seen
and understood those proofs already know that your proof, even if it
is completely original, still can't possibly be right.

Here's one of those proofs:

The difference between 0.999 and 1 is 0.001.

The difference between 0.9999 and 1 is 0.0001.

In the system of real numbers, two numbers are not equal only if some
number that is greater than zero is the difference between them.

For any number greater than zero, there is some number of the form
0.000...001 that is less than that number.

So any number that is close to 1, but is slightly less than it, is
less than 0.999...999 where the string of 9s is finite in length.

Thus, 0.999..., because it goes on forever with nines after any of the
strings of nines that stop, can't differ from 1 by any finite amount.
Therefore, it is equal to 1 in the way that equality is defined for
the real number line.

John Savard




Date Subject Author
5/31/07
Read Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
karl
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
karl
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
karl
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Virgil
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Richard Tobin
5/31/07
Read Re: Proof 0.999... is not equal to one.
pomerado@hotmail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
The Ghost In The Machine
5/31/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
David W. Cantrell
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/5/07
Read Re: Proof 0.999... is not equal to one.
Michael Press
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
5/31/07
Read Re: Proof 0.999... is not equal to one.
mensanator
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
mensanator
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dik T. Winter
5/31/07
Read Re: Proof 0.999... is not equal to one.
Rupert
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Virgil
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
6/1/07
Read Re: Proof 0.999... is not equal to one.
hagman
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Denis Feldmann
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dave Seaman
5/31/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Eric Schmidt
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/3/07
Read Re: Proof 0.999... is not equal to one.
T.H. Ray
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dave Seaman
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
Marshall
6/5/07
Read Re: Proof 0.999... is not equal to one.
Michael Press
5/31/07
Read Re: Proof 0.999... is not equal to one.
bassam king karzeddin
5/31/07
Read Re: Proof 0.999... is not equal to one.
Glen Wheeler
5/31/07
Read Re: Proof 0.999... is not equal to one.
bassam king karzeddin
5/31/07
Read Re: Proof 0.999... is not equal to one.
bassam king karzeddin
5/31/07
Read Re: Proof 0.999... is not equal to one.
neilist
5/31/07
Read Re: Proof 0.999... is not equal to one.
tommy1729
5/31/07
Read Re: Proof 0.999... is not equal to one.
neilist
5/31/07
Read Re: Proof 0.999... is not equal to one.
tommy1729
5/31/07
Read Re: Proof 0.999... is not equal to one.
neilist
5/31/07
Read Re: Proof 0.999... is not equal to one.
tommy1729
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dave Seaman
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
quasi
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
hagman
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
hagman
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
hagman
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Eric Schmidt
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
hagman
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/2/07
Read Re: Proof 0.999... is not equal to one.
hagman
6/18/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
Richard Tobin
5/31/07
Read Re: Proof 0.999... is not equal to one.
mathedman@hotmail.com.CUT
5/31/07
Read Re: Proof 0.999... is not equal to one.
Richard Tobin
5/31/07
Read Re: Proof 0.999... is not equal to one.
William Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
5/31/07
Read Re: Proof 0.999... is not equal to one.
Brian Quincy Hutchings
5/31/07
Read Re: Proof 0.999... is not equal to one.
Brian Quincy Hutchings
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Richard Tobin
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
6/1/07
Read Re: Proof 0.999... is not equal to one.
Richard Tobin
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dik T. Winter
6/1/07
Read Re: Proof 0.999... is not equal to one.
Jesse F. Hughes
6/1/07
Read Re: Proof 0.999... is not equal to one.
Brian Quincy Hutchings
5/31/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
5/31/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
5/31/07
Read Re: Proof 0.999... is not equal to one.
quasi
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
Virgil
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dik T. Winter
6/1/07
Read Re: Proof 0.999... is not equal to one.
bassam king karzeddin
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
3/22/13
Read Re: Proof 0.999... is not equal to one.
John Gabriel
3/22/13
Read Re: Proof 0.999... is not equal to one.
John Gabriel
6/1/07
Read Re: Proof 0.999... is not equal to one.
Dr. David Kirkby
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
6/1/07
Read Re: Proof 0.999... is not equal to one.
Denis Feldmann
6/1/07
Read Re: Proof 0.999... is not equal to one.
chajadan@mail.com
2/7/13
Read Re: Proof 0.999... is not equal to one.
Brian Q. Hutchings
2/8/13
Read Re: Proof 0.999... is not equal to one.
JT
2/8/13
Read Re: Proof 0.999... is not equal to one.
Virgil
2/8/13
Read Re: Proof 0.999... is not equal to one.
JT
2/8/13
Read Re: Proof 0.999... is not equal to one.
Virgil
2/8/13
Read Re: Proof 0.999... is not equal to one.
Virgil
2/8/13
Read Re: Proof 0.999... is not equal to one.
JT
2/8/13
Read Re: Proof 0.999... is not equal to one.
Virgil
2/21/13
Read Re: Proof 0.999... is not equal to one.
John Gabriel
6/1/07
Read Re: Proof 0.999... is not equal to one.-
JEMebius
6/1/07
Read Re: Proof 0.999... is not equal to one.
bassam king karzeddin
6/1/07
Read Re: Proof 0.999... is not equal to one.
mike3
9/26/07
Read Re: Proof 0.999... is not equal to one - is a joy for ever!
JEMebius
9/26/07
Read Re: Proof 0.999... is not equal to one - is a joy for ever!
mike3
9/27/07
Read Re: Proof 0.999... is not equal to one - is a joy for ever!
Brian Quincy Hutchings
6/2/07
Read Re: Proof 0.999... is not equal to one.
OwlHoot
6/3/07
Read Re: Proof 0.999... is not equal to one.
jsavard@ecn.ab.ca
6/5/07
Read Re: Proof 0.999... is not equal to one.
zuhair
6/10/07
Read Re: Proof 0.999... is not equal to one.
Brian Quincy Hutchings

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