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Topic: Uncountable List
Replies: 8   Last Post: Dec 31, 2012 3:34 AM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Uncountable List
Posted: Dec 30, 2012 12:54 AM
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In article <Pine.NEB.4.64.1212292113200.16627@panix2.panix.com>,
William Elliot <marsh@panix.com> wrote:

> 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.


For such extended definition, perhaps, but the standard definition is
stretched even for countably infinite lists.
--





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