Date: Dec 31, 2012 2:07 PM
Author: Shmuel (Seymour J.) Metz
Subject: Re: Uncountable Diagonal Problem

In <50e06de8$22$fuzhry+tra$>, on 12/30/2012
at 11:38 AM, Shmuel (Seymour J.) Metz
<> said:

>In <>, on
> at 12:47 AM, William Elliot <> 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

>>How long does a list without duplicates of infinite binary series
>>(IBS) have to be to force the list to have every IBS?


>[1] Next largest cardinal, not next largest ordinal.

Whoops! As David pointed out, an ordinal-indexed sequence of reals of
cardinality C+1 must have duplicates.

Shmuel (Seymour J.) Metz, SysProg and JOAT <>

Unsolicited bulk E-mail subject to legal action. I reserve the
right to publicly post or ridicule any abusive E-mail. Reply to
domain Patriot dot net user shmuel+news to contact me. Do not
reply to