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Topic: Order Isomorphic
Replies: 5   Last Post: Feb 3, 2013 12:13 PM

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Shmuel (Seymour J.) Metz

Posts: 3,345
Registered: 12/4/04
Re: Order Isomorphic
Posted: Feb 2, 2013 9:47 PM
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In <r04lg810egbbh5juh1rkkasbd87206v380@4ax.com>, on 01/31/2013
at 09:42 AM, David C. Ullrich <ullrich@math.okstate.edu> said:

>Have you thought about this even a little bit?

Read the question again; he's not asking about Omega_0.

>Let s_0 be the smallest element of S.

He specified that S is uncountable; you have to use transfinite
induction.

>It's easy to show that S = {s_n}

It would be if S were a subset of Omega_0, but it's not.

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