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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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Jesse F. Hughes

Posts: 9,776
Registered: 12/6/04
Re: Proof 0.999... is not equal to one.
Posted: May 31, 2007 11:54 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

"T.H. Ray" <thray123@aol.com> writes:

>> "T.H. Ray" <thray123@aol.com> writes:
>>

>> > Yes, we know (by the Continuum Hypothesis, Cantor)
>> that
>> > betweeness is infinite--not just "huge." Suppose
>> > we reject the CH? Every sequence is then finite
>> > and differs from another sequence that infinitely
>> > approaches, but does not reach it, by an

>> infinitesimal
>> > margin. (This is the insight, of course, that led
>> > to the development of analysis--the study of

>> continuous> > functions.)
>>
>> Sorry, but I have no idea what you are trying to
>> express here. How is
>> the Continuum Hypothesis relevant here?


[...]

>
> Look at the context of the OP's original claim, along
> with the rest of my explanation.
>
> We can do without the CH and have finite betweeness
> (Weyl's term)or we can employ the CH and have infinite
> betweeness. But we cannot have terms that are
> simultaneously infinitely between, and finite,
> between the same pair of integer terms (in the OP's
> case, between 0 and 1). Our sequences
> have to be either analytical with limits
> (in which case 1.000... = 0.999...) or rational
> numbers with terminating point. These are differentiable.
> The OP allows no means to differentiate a finite sequence
> from an infinite series. Both the analysis of continuous
> functions, and Cantor's theory, do incorporate such means.


Again, I don't see how the hypothesis that

2^{aleph_0} = aleph_1

is relevant to any of these claims. Are you suggesting that if

2^{aleph_0} > aleph_1

then there would be finitely many reals between 0 and 1?

--
Jesse F. Hughes
"Marriage.. ..is the union of two persons of different sex for
life-long reciprocal possession of their sexual faculties"
-- Immanuel Kant, who died an unmarried virgin


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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