Date: Feb 26, 2013 6:57 AM
Author: Frederick Williams
Subject: Re: Problems with Infinity?
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