Date: Jan 4, 2013 4:52 PM
Author: Virgil
Subject: Re: Uncountably Nested Intervals

In article 
"Ross A. Finlayson" <> 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