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Topic: Uncountable Diagonal Problem
Replies: 52   Last Post: Jan 6, 2013 2:43 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Uncountably Nested Intervals
Posted: Jan 4, 2013 4:52 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<d59d0c5c-427f-4855-bf5e-af25b2dc47ac@t6g2000pba.googlegroups.com>,
"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> > So Ross was wrong, and too chicken to own up.
> > --

>
> No, what I said was there are and aren't. I simply constructed
> examples where there are and examples where there could not be.
> That's a poor and ungenerous representation. Your argument is simply
> fallacious


Ross stated that there were no sets of nested intervals with irrational
endpoints which could be uncountable, and therefore not sequences.

He was wrong.

{ [-x,x] : x is a positive irrational} is just such a set of uncountably
many nested intervals. I.e., given any 2 of them one, is a subset of the
other.
--




Date Subject Author
12/30/12
Read Uncountable Diagonal Problem
William Elliot
12/30/12
Read Re: Uncountable Diagonal Problem
Butch Malahide
12/30/12
Read Re: Uncountable Diagonal Problem
Shmuel (Seymour J.) Metz
12/30/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/30/12
Read Re: Uncountable Diagonal Problem
Virgil
12/30/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/30/12
Read Re: Uncountable Diagonal Problem
Virgil
12/30/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/30/12
Read Re: Uncountable Diagonal Problem
Virgil
12/30/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/31/12
Read Re: Uncountable Diagonal Problem
Virgil
12/31/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/31/12
Read Re: Uncountable Diagonal Problem
Virgil
12/31/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/2/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/2/13
Read Re: Uncountable Diagonal Problem
Virgil
1/2/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/2/13
Read Re: Uncountable Diagonal Problem
Virgil
1/3/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/3/13
Read Re: Uncountable Diagonal Problem
Virgil
1/3/13
Read Re: Uncountable Diagonal Problem
Virgil
1/3/13
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
1/3/13
Read Re: Uncountable Diagonal Problem: Ross is WRONG, again!
Virgil
1/3/13
Read Re: Uncountably Nested Intervals
ross.finlayson@gmail.com
1/4/13
Read Re: Uncountably Nested Intervals
Virgil
1/4/13
Read Re: Uncountably Nested Intervals
ross.finlayson@gmail.com
1/4/13
Read Re: Uncountably Nested Intervals
fom
1/4/13
Read Re: Uncountably Nested Intervals
ross.finlayson@gmail.com
1/5/13
Read Re: Uncountably Nested Intervals
fom
1/5/13
Read Re: Uncountably Nested Intervals
ross.finlayson@gmail.com
1/5/13
Read Re: Uncountably Nested Intervals
fom
1/6/13
Read Re: Uncountably Nested Intervals
ross.finlayson@gmail.com
1/4/13
Read Re: Uncountably Nested Intervals
Virgil
12/30/12
Read Re: Uncountable Diagonal Problem
forbisgaryg@gmail.com
12/30/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/31/12
Read Re: Uncountable Diagonal Problem
Virgil
12/31/12
Read Re: Uncountable Diagonal Problem
ross.finlayson@gmail.com
12/31/12
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
Graham Cooper
1/1/13
Read Re: Uncountable Diagonal Problem
Virgil
1/1/13
Read Re: Uncountable Diagonal Problem
camgirls@hush.com
12/31/12
Read Re: Uncountable Diagonal Problem
Shmuel (Seymour J.) Metz

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