Date: Dec 30, 2012 9:27 PM
Subject: Re: Uncountable Diagonal Problem
On Sunday, December 30, 2012 4:24:27 PM UTC-8, Ross A. Finlayson wrote:
> So, the mega-sequences of the nested interval endpoints would end with
> side-by-side endpoints? Or, does any ordinally-indexed sequence of
> all of a segment of reals necessarily contain duplicates?
I'm having trouble interpretting this.
Given any CIxT where x is some base, the sequence continuing with
(x-1) at all leaf nodes beyond some node y is equivalent to
the numeric successor node for y followed by 0 at all leaf nodes
continuing from it.
Is that what you said or were thinking?