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



Virgil
Posts:
8,833
Registered:
1/6/11


Re: Uncountable List
Posted:
Dec 30, 2012 12:54 AM


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. 



