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. --