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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: 1,289 Registered: 12/6/04
Re: Problems with Infinity?
Posted: Feb 26, 2013 4:23 PM

On Tue, 26 Feb 2013 14:39:33 -0500, Shmuel Metz
<spamtrap@library.lspace.org.invalid> wrote in
<news:512d0f75\$10\$fuzhry+tra\$mr2ice@news.patriot.net> in
rec.arts.sf.written,sci.math:

> In <20130225b@crcomp.net>, on 02/26/2013
> at 12:51 AM, Don Kuenz <garbage@crcomp.net> said:

>> Answering my own question, Cantor's conjectures concern
>> set theory and only tangentially touch on the infinities
>> of complex variables. Using beginner's language, Cantor
>> uses two sets to define two levels of infinity. One set,
>> Aleph-0, holds countable infinity. The other set,
>> Aleph-1, holds continuum infinity, which includes
>> Aleph-0, along with every possible arrangement of
>> Aleph-0.

> No; Cantor's work on cardinality has nothing to do with
> Complex Analysis,

Though there are results in complex analysis that depend on
the continuum hypothesis, e.g.

<http://www.renyi.hu/~p_erdos/1964-04.pdf?utm_medium=referral&utm_source=t.co>.

(Followups set.)

Brian

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