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Re: Uncountable Diagonal Problem
Posted:
Dec 30, 2012 11:38 AM
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In <Pine.NEB.4.64.1212300024480.22883@panix2.panix.com>, on 12/30/2012 at 12:47 AM, William Elliot <marsh@panix.com> said:
>A list of length eta, is a function from the ordinals < beta to a >set of items. Mega-sequence will be used as a synonym for list.
Your definition of list is nonstandard. Why not use standard nomenclature, e.g., ordinal-indexed sequence <http://en.wikipedia.org/wiki/Order_topology#Ordinal-indexed_sequences>?
>How long does a list without duplicates of infinite binary series >(IBS) have to be to force the list to have every IBS?
C+1[1]
[1] Next largest cardinal, not next largest ordinal.
-- Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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