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Topic: Problems with Infinity?
Replies: 72   Last Post: Apr 12, 2013 1:36 PM

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Brian M. Scott

Posts: 1,266
Registered: 12/6/04
Re: Problems with Infinity?
Posted: Apr 12, 2013 2:39 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Thu, 11 Apr 2013 22:50:47 -0600, Virgil
<virgil@ligriv.com> wrote in
<news:virgil-2AAC1D.22504511042013@BIGNEWS.USENETMONSTER.COM>
in rec.arts.sf.written,sci.math:

> In article
> <bb3aebb3-658d-4443-9934-d0cb066af67a@q9g2000yqd.googlegroups.com>,
> Butch Malahide <fred.galvin@gmail.com> wrote:


>> On Apr 11, 8:49 pm, Quadibloc <jsav...@ecn.ab.ca> wrote:

>>> However, there is a set known to have cardinality
>>> aleph-1, the set of well-orderings of the integers.


>> Well, sort of. Actually, the set of well-orderings of the
>> integers has the cardinality of the continuum, which may
>> or may not equal aleph_1. It's the set of *order types*
>> of well-orderings of the integers that absolutely has
>> cardinality aleph_1. That is, you definite an
>> equivalence relation on that set of well-orderings, two
>> orderings being called equivalent just in case they are
>> isomorphic, and the the resulting equivalence classes
>> are aleph_1 in number. (That's what you meant, but
>> mathematicians make a big deal of saying what you mean
>> and meaning what you say.)


> Which rules out WM.

Since I'm reading this in rasfw, would that by any chance be
the Augsburger Mücki-bot?

Brian


Date Subject Author
2/24/13
Read Problems with Infinity?
William Elliot
2/24/13
Read Re: Problems with Infinity?
garabik-news-2005-05@kassiopeia.juls.savba.sk
2/24/13
Read Re: Problems with Infinity?
Frederick Williams
2/24/13
Read Re: Problems with Infinity?
David DeLaney
2/25/13
Read Re: Problems with Infinity?
P. Taine
2/26/13
Read Re: Problems with Infinity?
Butch Malahide
2/24/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/25/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/25/13
Read Re: Problems with Infinity?
Brian M. Scott
2/25/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/25/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/25/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/25/13
Read Re: Problems with Infinity?
Frederick Williams
2/25/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/25/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/27/13
Read Re: Problems with Infinity?
David DeLaney
2/27/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
David DeLaney
2/28/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
David DeLaney
3/1/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
3/1/13
Read Re: Problems with Infinity?
David DeLaney
3/2/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/28/13
Read Re: Problems with Infinity?
David Johnston
2/27/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
Read Re: Problems with Infinity?
David DeLaney
4/11/13
Read Re: Problems with Infinity?
Walter Bushell
4/11/13
Read Re: Problems with Infinity?
Brian M. Scott
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/12/13
Read Re: Problems with Infinity?
fom
4/12/13
Read Re: Problems with Infinity?
Wayne Throop
4/12/13
Read Re: Problems with Infinity?
fom
4/12/13
Read Re: Problems with Infinity?
Wayne Throop
4/12/13
Read Re: Problems with Infinity?
fom
4/11/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/12/13
Read Re: Problems with Infinity?
Virgil
4/12/13
Read Re: Problems with Infinity?
Brian M. Scott
4/12/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
4/11/13
Read Re: Problems with Infinity?
fom
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/12/13
Read Re: Problems with Infinity?
Brian M. Scott
4/12/13
Read Re: Problems with Infinity?
Butch Malahide
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
David Bernier
2/26/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
4/11/13
Read Re: Problems with Infinity?
Walter Bushell
4/11/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/27/13
Read Re: Problems with Infinity?
Scott Fluhrer

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