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

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William Elliot

Posts: 1,532
Registered: 1/8/12
Re: Uncountable List
Posted: Dec 30, 2012 12:17 AM
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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.



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