Date: Dec 30, 2012 12:54 AM
Subject: Re: Uncountable List
In article <Pine.NEB.firstname.lastname@example.org>,
William Elliot <email@example.com> wrote:
> On Sat, 29 Dec 2012, Virgil wrote:
> > William Elliot <firstname.lastname@example.org> 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.
For such extended definition, perhaps, but the standard definition is
stretched even for countably infinite lists.