Date: Dec 30, 2012 12:17 AM
Author: William Elliot
Subject: Re: Uncountable List

On Sat, 29 Dec 2012, Virgil wrote:
>  William Elliot <marsh@panix.com> wrote:
> 
> > How long does an uncountable list with no duplicates,
> > of infinite binary sequences (IBS) have to be to force 
> > the list to contain all the IBS's?
> 
> All lists are, by definition, of countable length.

A list of length beta, is a function over the ordinals less than beta.

This problem goes beyond countable lists.