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

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Frederick Williams

Posts: 2,166
Registered: 10/4/10
Re: Problems with Infinity?
Posted: Feb 26, 2013 6:57 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Don Kuenz wrote:

>
> 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,


That the cardinality of the continuum (c = 2^{aleph_0}) is equal to
aleph_1 is Cantor's continuum hypothesis which modern set theory settles
neither one way nor the other.

> which includes Aleph-0, along with
> every possible arrangement of Aleph-0. The infinities of complex
> variables belong to both sets, as does every other common infinity
> found in mathematical literature.


Surely not.

> That's the sole connection between
> Cantor's continuum hypothesis and complex variables.


--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting


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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